Question 1

Complete the table. f(x)= x2 - 3
$$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & & & & & \
\hline
\end{array}$$

Accepted Answer

A) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & 6 & - 2 & 13 & - 3 & 22 \
\hline
\end{array}$$ 
B) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & 6 & - 2 & - 3 & 22 & 13 \
\hline
\end{array}$$ 
C) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & - 2 & 6 & - 3 & 13 & 22 \
\hline
\end{array}$$ 
D) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & 6 & - 2 & 0 & 13 & 22 \
\hline
\end{array}$$ 
E) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & 6 & - 2 & - 3 & 13 & 22 \
\hline
\end{array}$$ 
A) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & 6 & - 2 & 13 & - 3 & 22 \
\hline
\end{array}$$ 
B) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & 6 & - 2 & - 3 & 22 & 13 \
\hline
\end{array}$$ 
C) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & - 2 & 6 & - 3 & 13 & 22 \
\hline
\end{array}$$ 
D) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & 6 & - 2 & 0 & 13 & 22 \
\hline
\end{array}$$ 
E) $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 3 & - 1 & 0 & 4 & 5 \
\hline f ( x ) & 6 & - 2 & - 3 & 13 & 22 \
\hline
\end{array}$$

Question 2

Evaluate the function at the specified value of the independent variable and simplify. $f ( p ) = \frac { - 8 p } { 9 p + 8 }$ f(y - 5)

Accepted Answer

A)  f(y - 5)= $\frac { - 8 y + 40 } { 9 y - 37 }$ 
B)  f(y - 5)= $\frac { - 8 y - 40 } { 9 y - 37 }$ 
C)  f(y - 5)= $\frac { - 8 p + 40 } { 9 p - 37 }$ 
D)  f(y - 5)= $- \frac { 40 } { 53 }$ 
E) f(y - 5)= $- \frac { 40 } { 37 }$ 
A)  f(y - 5)= $\frac { - 8 y + 40 } { 9 y - 37 }$ 
B)  f(y - 5)= $\frac { - 8 y - 40 } { 9 y - 37 }$ 
C)  f(y - 5)= $\frac { - 8 p + 40 } { 9 p - 37 }$ 
D)  f(y - 5)= $- \frac { 40 } { 53 }$ 
E) f(y - 5)= $- \frac { 40 } { 37 }$

Question 3

Which set of ordered pairs represents a function from A to B
A = {3,2,4,1} and B = {-4,-5,3,2,4}

Accepted Answer

A) {(3,-4), (2,-5), (4,-4), (3,-5)} 
B) {(3,-4), (4,4), (2,-5), (1,3), (2,2)} 
C) {(3,4), (1,3), (2,2)} 
D) {(3,2), (2,-4), (4,3), (1,4)} 
E) {(3,-4), (2,2), (1,3)} 
A) {(3,-4), (2,-5), (4,-4), (3,-5)} 
B) {(3,-4), (4,4), (2,-5), (1,3), (2,2)} 
C) {(3,4), (1,3), (2,2)} 
D) {(3,2), (2,-4), (4,3), (1,4)} 
E) {(3,-4), (2,2), (1,3)}

Question 4

Evaluate ?f(16)if $$f ( x ) = \sqrt { x + 9 } + 1$$ .

Accepted Answer

A) f(16)= 5 
B) f(16)= 7 
C) f(16)= 4 
D) f(16)= 8 
E) f(16)= 6 
A) f(16)= 5 
B) f(16)= 7 
C) f(16)= 4 
D) f(16)= 8 
E) f(16)= 6

Question 5

Find the difference quotient and simplify your answer. 
F(x)= 5x - x2, $\frac { f ( 6 + h ) - f ( 6 ) } { h }$ ,h ? 0

Accepted Answer

A)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 6$ ,h ? 0 
B)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 4$ ,h ? 0 
C)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 3$ ,h? 0 
D)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 7$ ,h ? 0 
E)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 5$ ,h ? 0 
A)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 6$ ,h ? 0 
B)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 4$ ,h ? 0 
C)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 3$ ,h? 0 
D)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 7$ ,h ? 0 
E)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = - h - 5$ ,h ? 0

Question 6

Find the domain of the function. $g ( p ) = \sqrt { 81 - p ^ { 2 } }$

Accepted Answer

A) -9 ? p ?9 
B) p ? -9 or p? 9 
C) p ? 0 
D) p ? 9 
E) all real numbers 
A) -9 ? p ?9 
B) p ? -9 or p? 9 
C) p ? 0 
D) p ? 9 
E) all real numbers

Question 7

Find all real values of x such that f(x)= 0. 
F(x)= x2 - 8x - 20

Accepted Answer

A) x = -10,2 
B) x = -10,-2 
C) x = 2,10 
D) x = -2,10 
E) x = -8,8 
A) x = -10,2 
B) x = -10,-2 
C) x = 2,10 
D) x = -2,10 
E) x = -8,8

Question 8

Find the domain of the function. $$h ( t ) = \frac { 5 } { t }$$

Accepted Answer

A) All real numbers t except t = 0 
B) Negative real numbers t 
C) All real numbers t such that t > 0 
D) Non-negative real numbers t 
E) All real numbers t such that t = 0 
A) All real numbers t except t = 0 
B) Negative real numbers t 
C) All real numbers t such that t > 0 
D) Non-negative real numbers t 
E) All real numbers t such that t = 0

Question 9

Find the difference quotient and simplify your answer. 
F(y)= 6y2 - 3y, $\frac { f ( 2 + h ) - f ( 2 ) } { h }$ ,h ? 0

Accepted Answer

A)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 21 + 6 h$ 
B)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = - 3 + 6 y - \frac { 12 } { y }$ 
C)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = - 3 + 6 h$ 
D)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 21 + 6 y - \frac { 12 } { y }$ 
E)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 1 + h$ 
A)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 21 + 6 h$ 
B)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = - 3 + 6 y - \frac { 12 } { y }$ 
C)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = - 3 + 6 h$ 
D)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 21 + 6 y - \frac { 12 } { y }$ 
E)  $\frac { f ( 2 + h ) - f ( 2 ) } { h } = 1 + h$

Question 10

Find all real values of x such that f(x)= 0. $$f ( x ) = \frac { 81 - x ^ { 2 } } { 3 }$$

Accepted Answer

A) x = ±12 
B) x = ±13 
C) x = ±11 
D) x = ±10 
E) x = ±9 
A) x = ±12 
B) x = ±13 
C) x = ±11 
D) x = ±10 
E) x = ±9

Question 11

Which equation does not represent y as a function of x

Accepted Answer

A)  $y = \sqrt { 6 + 3 x }$ 
B) y = |-2 + 7x2| 
C) x = -6y - 2 
D) x = -8 
E) y = -3x + 5 
A)  $y = \sqrt { 6 + 3 x }$ 
B) y = |-2 + 7x2| 
C) x = -6y - 2 
D) x = -8 
E) y = -3x + 5

Question 12

Evaluate S(3)if S(r)= 4πr2.

Accepted Answer

A) S(3)= 40 
B) S(3)= 9 
C) S(3)= 38 
D) S(3)= 36 
E) S(3)= 37 
A) S(3)= 40 
B) S(3)= 9 
C) S(3)= 38 
D) S(3)= 36 
E) S(3)= 37

Question 13

Find the difference quotient and simplify your answer. 
F(x)= x2 - x + 1, $\frac { f ( 6 + h ) - f ( 6 ) } { h }$ ,h ? 0

Accepted Answer

A)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 11$ ,h ? 0 
B)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 15$ ,h ? 0 
C)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 14$ ,h ? 0 
D)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 12$ ,h ? 0 
E)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 13$ ,h ? 0 
A)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 11$ ,h ? 0 
B)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 15$ ,h ? 0 
C)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 14$ ,h ? 0 
D)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 12$ ,h ? 0 
E)  $\frac { f ( 6 + h ) - f ( 6 ) } { h } = h + 13$ ,h ? 0

Question 14

Find the graph of the equation. 
F (x)= | x - 4 |

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

Does the table describe a function? Input value
$$\begin{array} { | l | l | l | l | l | l | } 
\hline \text { Input value } & 20 & 40 & 20 & 30 & 50 \
\hline \text { Output value } & 2001 & 2002 & 2003 & 2004 & 2005 \
\hline
\end{array}$$

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 16

Evaluate f(7)if f(x)= 4x - 1.

Accepted Answer

A) f(7)= 27 
B) f(7)= 26 
C) f(7)= 29 
D) f(7)= 25 
E) f(7)= 28 
A) f(7)= 27 
B) f(7)= 26 
C) f(7)= 29 
D) f(7)= 25 
E) f(7)= 28

Question 17

Evaluate the function at the specified value of the independent variable and simplify. q(p)= -6p - 3
Q(-2.6)

Accepted Answer

A) q(-2.6)= 15.6p + 18 
B) q(-2.6)= 18.6 
C) q(-2.6)= 12.6 
D) q(-2.6)= -2.6p - 3 
E) q(-2.6)= -2.6p + 3 
A) q(-2.6)= 15.6p + 18 
B) q(-2.6)= 18.6 
C) q(-2.6)= 12.6 
D) q(-2.6)= -2.6p - 3 
E) q(-2.6)= -2.6p + 3

Question 18

Evaluate f(11)if $$f ( x ) = \frac { | x | } { x }$$ .

Accepted Answer

A) f(11)= -1 
B) f(11)= 2 
C) f(11)= 0 
D) f(11)= 1 
E) f(11)= 3 
A) f(11)= -1 
B) f(11)= 2 
C) f(11)= 0 
D) f(11)= 1 
E) f(11)= 3

Question 19

Evaluate f(-4)if $$f ( x ) = \left\{ \begin{array} { l } 
x ^ { 2 } + 5 , \quad x < 1 \
5 x ^ { 2 } + 5 , \quad x \geq 1
\end{array} \right.$$ .

Accepted Answer

A) f(-4)= 19 
B) f(-4)= 11 
C) f(-4)= 16 
D) f(-4)= 23 
E) f(-4)= 21 
A) f(-4)= 19 
B) f(-4)= 11 
C) f(-4)= 16 
D) f(-4)= 23 
E) f(-4)= 21

Question 20

Evaluate the function $$f ( x ) = \left\{ \begin{array} { c } 
4 x - 2 , x  1
\end{array} \right.$$ at $f \left( - \frac { 1 } { 2 } \right)$ . ?

Accepted Answer

A)  $$f \left( - \frac { 1 } { 2 } \right) = - 10$$ 
B)  $f \left( - \frac { 1 } { 2 } \right) = 10$ 
C)  $f \left( - \frac { 1 } { 2 } \right) = - 7$ 
D)  $$f \left( - \frac { 1 } { 2 } \right) = - 4$$ 
E)  $f \left( - \frac { 1 } { 2 } \right) = 7$ 
A)  $$f \left( - \frac { 1 } { 2 } \right) = - 10$$ 
B)  $f \left( - \frac { 1 } { 2 } \right) = 10$ 
C)  $f \left( - \frac { 1 } { 2 } \right) = - 7$ 
D)  $$f \left( - \frac { 1 } { 2 } \right) = - 4$$ 
E)  $f \left( - \frac { 1 } { 2 } \right) = 7$

Exam 4: Functions

Complete the table. f(x)= x2 - 3 x -3 -1 0 4 5 f(x)

Evaluate the function at the specified value of the independent variable and simplify. f(p)=−8p9p+8f ( p ) = \frac { - 8 p } { 9 p + 8 }f(p)=9p+8−8p​ f(y - 5)

Which set of ordered pairs represents a function from A to B A = {3,2,4,1} and B = {-4,-5,3,2,4}

Evaluate ?f(16)if f(x)=x+9+1f ( x ) = \sqrt { x + 9 } + 1f(x)=x+9​+1 .

Find the difference quotient and simplify your answer. F(x)= 5x - x2, f(6+h)−f(6)h\frac { f ( 6 + h ) - f ( 6 ) } { h }hf(6+h)−f(6)​ ,h ? 0

Find the domain of the function. g(p)=81−p2g ( p ) = \sqrt { 81 - p ^ { 2 } }g(p)=81−p2​

Find all real values of x such that f(x)= 0. F(x)= x2 - 8x - 20

Find the domain of the function. h(t)=5th ( t ) = \frac { 5 } { t }h(t)=t5​

Find the difference quotient and simplify your answer. F(y)= 6y2 - 3y, f(2+h)−f(2)h\frac { f ( 2 + h ) - f ( 2 ) } { h }hf(2+h)−f(2)​ ,h ? 0

Find all real values of x such that f(x)= 0. f(x)=81−x23f ( x ) = \frac { 81 - x ^ { 2 } } { 3 }f(x)=381−x2​

Which equation does not represent y as a function of x

Evaluate S(3)if S(r)= 4πr2.

Find the difference quotient and simplify your answer. F(x)= x2 - x + 1, f(6+h)−f(6)h\frac { f ( 6 + h ) - f ( 6 ) } { h }hf(6+h)−f(6)​ ,h ? 0

Find the graph of the equation. F (x)= | x - 4 |

Does the table describe a function? Input value Input value 20 40 20 30 50 Output value 2001 2002 2003 2004 2005

Evaluate f(7)if f(x)= 4x - 1.

Evaluate the function at the specified value of the independent variable and simplify. q(p)= -6p - 3 Q(-2.6)

Evaluate f(11)if f(x)=∣x∣xf ( x ) = \frac { | x | } { x }f(x)=x∣x∣​ .

Evaluate f(-4)if f(x)={x2+5,x<15x2+5,x≥1f ( x ) = \left\{ \begin{array} { l } x ^ { 2 } + 5 , \quad x < 1 \\5 x ^ { 2 } + 5 , \quad x \geq 1\end{array} \right.f(x)={x2+5,x<15x2+5,x≥1​ .

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Ellipses

Complete the table. f(x)= x² - 3 x -3 -1 0 4 5 f(x)

Evaluate the function at the specified value of the independent variable and simplify. $f ( p ) = \frac { - 8 p } { 9 p + 8 }$ f(y - 5)

Evaluate ?f(16)if $f ( x ) = \sqrt { x + 9 } + 1$ .

Find the difference quotient and simplify your answer. F(x)= 5x - x², $\frac { f ( 6 + h ) - f ( 6 ) } { h }$ ,h ? 0

Find the domain of the function. $g ( p ) = \sqrt { 81 - p ^ { 2 } }$

Find all real values of x such that f(x)= 0. F(x)= x² - 8x - 20

Find the domain of the function. $h ( t ) = \frac { 5 } { t }$

Find the difference quotient and simplify your answer. F(y)= 6y² - 3y, $\frac { f ( 2 + h ) - f ( 2 ) } { h }$ ,h ? 0

Find all real values of x such that f(x)= 0. $f ( x ) = \frac { 81 - x ^ { 2 } } { 3 }$

Evaluate S(3)if S(r)= 4πr².

Find the difference quotient and simplify your answer. F(x)= x² - x + 1, $\frac { f ( 6 + h ) - f ( 6 ) } { h }$ ,h ? 0

Evaluate f(11)if $f ( x ) = \frac { | x | } { x }$ .

Evaluate f(-4)if $f ( x ) = \left\{ \begin{array} { l } x ^ { 2 } + 5 , \quad x < 1 \\5 x ^ { 2 } + 5 , \quad x \geq 1\end{array} \right.$ .