Question 1

?Find the zeros of the function algebraically.? $$f ( x ) = 9 x ^ { 2 } + 21 x - 18$$ ?

Accepted Answer

A) ? $x = \frac { 2 } { 3 } , - 3$ 
B) ? $x = - \frac { 2 } { 3 } , - 3$ 
C) ? $x = \frac { 3 } { 2 } , - 3$ 
D) ? $x = \frac { 2 } { 3 } , 3$ 
E) ? $x = - \frac { 2 } { 3 } , 3$ 
A) ? $x = \frac { 2 } { 3 } , - 3$ 
B) ? $x = - \frac { 2 } { 3 } , - 3$ 
C) ? $x = \frac { 3 } { 2 } , - 3$ 
D) ? $x = \frac { 2 } { 3 } , 3$ 
E) ? $x = - \frac { 2 } { 3 } , 3$

Question 2

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​
(8,-7)
​

Accepted Answer

A) (8,7) 
B) (8,-7) ​ 
C) (-8,-7) ​ 
D) (-8,7) ​ 
E) None of the above 
A) (8,7) 
B) (8,-7) ​ 
C) (-8,-7) ​ 
D) (-8,7) ​ 
E) None of the above

Question 3

Find the average rate of change of the function from x1 = 1 to x2 = 5.? $$f ( x ) = x ^ { 2 } - 3 x + 6$$ ?

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 5 is 19. 
B) The average rate of change from x1 = 1 to x2 = 5 is 3. 
C) The average rate of change from x1 = 1 to x2 = 5 is -6. 
D) The average rate of change from x1 = 1 to x2 = 5 is -3. 
E) The average rate of change from x1 = 1 to x2 = 5 is 6. 
A) The average rate of change from x1 = 1 to x2 = 5 is 19. 
B) The average rate of change from x1 = 1 to x2 = 5 is 3. 
C) The average rate of change from x1 = 1 to x2 = 5 is -6. 
D) The average rate of change from x1 = 1 to x2 = 5 is -3. 
E) The average rate of change from x1 = 1 to x2 = 5 is 6.

Question 4

Find the average rate of change of the function from x1 = 1 to x2 = 3.? $$f ( x ) = x ^ { 3 } - 8 x ^ { 2 } - x$$ ?

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 3 is 19. 
B) The average rate of change from x1 = 1 to x2 = 3 is -20. 
C) The average rate of change from x1 = 1 to x2 = 3 is 8. 
D) The average rate of change from x1 = 1 to x2 = 3 is -14. 
E) The average rate of change from x1 = 1 to x2 = 3 is 14. 
A) The average rate of change from x1 = 1 to x2 = 3 is 19. 
B) The average rate of change from x1 = 1 to x2 = 3 is -20. 
C) The average rate of change from x1 = 1 to x2 = 3 is 8. 
D) The average rate of change from x1 = 1 to x2 = 3 is -14. 
E) The average rate of change from x1 = 1 to x2 = 3 is 14.

Question 5

Graph the function and determine the interval(s)for which f (x)? 0. $$f ( x ) = - x ^ { 2 } - 2 x$$

Accepted Answer

A)  $( - \infty , - 2 ) \cup ( 0 , \infty )$ 
B)  $( - 2,0 )$ 
C)  $[ - 2,0 ]$ 
D) {-2} 
E)  $( - \infty , - 2 ] \cup [ 0 , \infty )$ 
A)  $( - \infty , - 2 ) \cup ( 0 , \infty )$ 
B)  $( - 2,0 )$ 
C)  $[ - 2,0 ]$ 
D) {-2} 
E)  $( - \infty , - 2 ] \cup [ 0 , \infty )$

Question 6

Determine the intervals over which the function is increasing,decreasing,or constant. $$f ( x ) = \left\{ \begin{array} { l } 
- x ^ { 2 } , x < 1 \
x ^ { 2 } - 2 x + 2 , x \geq 1
\end{array} \right.$$

Accepted Answer

A) ?constant on (-?,0) increasing on (0,?)
? 
B) increasing on (-?,0), (1,?) descreasing on (0,1) 
C) ??constant on (-?,1) increasing on (1,?)
? 
D) ?constant on (-?,1) descreasing on (1,?)
? 
E) ?constant on (-?,0) descreasing on (0,1)
? 
A) ?constant on (-?,0) increasing on (0,?)
? 
B) increasing on (-?,0), (1,?) descreasing on (0,1) 
C) ??constant on (-?,1) increasing on (1,?)
? 
D) ?constant on (-?,1) descreasing on (1,?)
? 
E) ?constant on (-?,0) descreasing on (0,1)
?

Question 7

?Find the zeros of the function algebraically.?? $$f ( x ) = 2 x ^ { 2 } - 9 x - 35$$

Accepted Answer

A) ? $x = - \frac { 5 } { 2 } , 7$ 
B) ? $x = - \frac { 5 } { 2 } , - 7$ 
C) ? $x = - \frac { 2 } { 5 } , 7$ 
D) ? $x = \frac { 5 } { 2 } , - 7$ 
E) ? $x = \frac { 5 } { 2 } , 7$ 
A) ? $x = - \frac { 5 } { 2 } , 7$ 
B) ? $x = - \frac { 5 } { 2 } , - 7$ 
C) ? $x = - \frac { 2 } { 5 } , 7$ 
D) ? $x = \frac { 5 } { 2 } , - 7$ 
E) ? $x = \frac { 5 } { 2 } , 7$

Question 8

Select the graph of the function and determine whether it is even,odd,or neither.? $$f ( x ) = \sqrt { 3 - x }$$ ?

Accepted Answer

A) ?   Even 
B) ?   Odd 
C) ?   Odd 
D) ?   Even 
E) ?   Neither 
A) ?   Even 
B) ?   Odd 
C) ?   Odd 
D) ?   Even 
E) ?   Neither

Question 9

Tell where the function is decreasing.?   ?

Accepted Answer

A)  $( 3 , \infty )$ 
B)  $( - \infty , 3 )$ 
C) always increasing 
D) always constant 
E) always decreasing 
A)  $( 3 , \infty )$ 
B)  $( - \infty , 3 )$ 
C) always increasing 
D) always constant 
E) always decreasing

Question 10

The graph of a function is sketched below.​   ​ Determine the interval on which the function is decreasing.
​

Accepted Answer

A) (-∞,-3] ∩ [-1,∞) 
B) ​[-3,-1] 
C) ​[-1,-1] ​ 
D) ​[1,3] ​ 
E) (-∞,-3] ∩ [-1,∞) ​ 
A) (-∞,-3] ∩ [-1,∞) 
B) ​[-3,-1] 
C) ​[-1,-1] ​ 
D) ​[1,3] ​ 
E) (-∞,-3] ∩ [-1,∞) ​

Question 11

An object is thrown upward from a height of 6.4 feet at a velocity of 80 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function.
​

Accepted Answer

A) s = -16t2 + 80 - 6.4 ​   
B) s = -16t2 + 80t ​
​   
C) s = -16t2 - 80t - 6.4 ​   
D) s = -16t2 - 80t + 6.4 ​   
E) s = -16t2 + 80t + 6.4 ​
​   
A) s = -16t2 + 80 - 6.4 ​   
B) s = -16t2 + 80t ​
​   
C) s = -16t2 - 80t - 6.4 ​   
D) s = -16t2 - 80t + 6.4 ​   
E) s = -16t2 + 80t + 6.4 ​
​

Question 12

Select the graph of the function and determine whether it is even,odd,or neither. ​
F(x)= 4
​

Accepted Answer

A) Neither ​   
B) Odd​   ​ 
C) Even ​   
D) Even ​  
​ 
E) Odd ​   
A) Neither ​   
B) Odd​   ​ 
C) Even ​   
D) Even ​  
​ 
E) Odd ​

Question 13

Select the graph of the given function and determine the interval(s)for which f(x)≥ 0. ​
F(x)= 16 - x2
​

Accepted Answer

A) ​   ​
[-4,-4] 
B) ​   ​
[-4,4] 
C) ​   ​
[-4,-4] 
D) ​   ​
[4,-4] 
E) ​   ​
[-4,4] 
A) ​   ​
[-4,-4] 
B) ​   ​
[-4,4] 
C) ​   ​
[-4,-4] 
D) ​   ​
[4,-4] 
E) ​   ​
[-4,4]

Question 14

Select the graph of the function and determine whether it is even,odd,or neither. ​
F(x)= |x + 6|
​

Accepted Answer

A) ​   Even 
B) ​   Odd 
C) ​   Neither 
D) ​   Odd 
E) ​   Even 
A) ​   Even 
B) ​   Odd 
C) ​   Neither 
D) ​   Odd 
E) ​   Even

Question 15

Find the zeros of the function algebraically.? $$f ( x ) = \sqrt { 16 x } - 1$$ ?

Accepted Answer

A) x = 0,16 
B)  $x = \frac { 1 } { 16 }$ 
C)  $x = 0 , \sqrt { 16 }$ 
D)  $x = 0 , \pm \sqrt { 16 }$ 
E)  $x = 0 , \pm 16$ 
A) x = 0,16 
B)  $x = \frac { 1 } { 16 }$ 
C)  $x = 0 , \sqrt { 16 }$ 
D)  $x = 0 , \pm \sqrt { 16 }$ 
E)  $x = 0 , \pm 16$

Question 16

Find the average rate of change of the function from x1 = 0 to x2 = 3.? $$f ( x ) = 3 x + 10$$ ?

Accepted Answer

A) The average rate of change from x1 = 0 to x2 = 3 is -3. 
B) The average rate of change from x1 = 0 to x2 = 3 is 3. 
C) The average rate of change from x1 = 0 to x2 = 3 is -10. 
D) The average rate of change from ?x1 = 0 to x2 = 3 is 10. 
E) The average rate of change from x1 = 0 to x2 = 3 is 19. 
A) The average rate of change from x1 = 0 to x2 = 3 is -3. 
B) The average rate of change from x1 = 0 to x2 = 3 is 3. 
C) The average rate of change from x1 = 0 to x2 = 3 is -10. 
D) The average rate of change from ?x1 = 0 to x2 = 3 is 10. 
E) The average rate of change from x1 = 0 to x2 = 3 is 19.

Exam 5: Analyzing Graphs of Functions

?Find the zeros of the function algebraically.? f(x)=9x2+21x−18f ( x ) = 9 x ^ { 2 } + 21 x - 18f(x)=9x2+21x−18 ?

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​ (8,-7) ​

Find the average rate of change of the function from x1 = 1 to x2 = 5.? f(x)=x2−3x+6f ( x ) = x ^ { 2 } - 3 x + 6f(x)=x2−3x+6 ?

Find the average rate of change of the function from x1 = 1 to x2 = 3.? f(x)=x3−8x2−xf ( x ) = x ^ { 3 } - 8 x ^ { 2 } - xf(x)=x3−8x2−x ?

Graph the function and determine the interval(s)for which f (x)? 0. f(x)=−x2−2xf ( x ) = - x ^ { 2 } - 2 xf(x)=−x2−2x

Determine the intervals over which the function is increasing,decreasing,or constant. f(x)={−x2,x<1x2−2x+2,x≥1f ( x ) = \left\{ \begin{array} { l } - x ^ { 2 } , x < 1 \\x ^ { 2 } - 2 x + 2 , x \geq 1\end{array} \right.f(x)={−x2,x<1x2−2x+2,x≥1​

?Find the zeros of the function algebraically.?? f(x)=2x2−9x−35f ( x ) = 2 x ^ { 2 } - 9 x - 35f(x)=2x2−9x−35

Select the graph of the function and determine whether it is even,odd,or neither.? f(x)=3−xf ( x ) = \sqrt { 3 - x }f(x)=3−x​ ?

Tell where the function is decreasing.? ?

The graph of a function is sketched below.​ ​ Determine the interval on which the function is decreasing. ​

An object is thrown upward from a height of 6.4 feet at a velocity of 80 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function. ​

Select the graph of the function and determine whether it is even,odd,or neither. ​ F(x)= 4 ​

Select the graph of the given function and determine the interval(s)for which f(x)≥ 0. ​ F(x)= 16 - x2 ​

Select the graph of the function and determine whether it is even,odd,or neither. ​ F(x)= |x + 6| ​

Find the zeros of the function algebraically.? f(x)=16x−1f ( x ) = \sqrt { 16 x } - 1f(x)=16x​−1 ?

Find the average rate of change of the function from x1 = 0 to x2 = 3.? f(x)=3x+10f ( x ) = 3 x + 10f(x)=3x+10 ?

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

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

Hyperbolas

Rotation of Conics

Parametric Equations

?Find the zeros of the function algebraically.? $f ( x ) = 9 x ^ { 2 } + 21 x - 18$ ?

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. (8,-7)

Find the average rate of change of the function from x₁ = 1 to x₂ = 5.? $f ( x ) = x ^ { 2 } - 3 x + 6$ ?

Find the average rate of change of the function from x₁ = 1 to x₂ = 3.? $f ( x ) = x ^ { 3 } - 8 x ^ { 2 } - x$ ?

Graph the function and determine the interval(s)for which f (x)? 0. $f ( x ) = - x ^ { 2 } - 2 x$ $Graph the function and determine the interval(s)for which f (x)? 0. f ( x ) = - x ^ { 2 } - 2 x$

?Find the zeros of the function algebraically.?? $f ( x ) = 2 x ^ { 2 } - 9 x - 35$

Select the graph of the function and determine whether it is even,odd,or neither.? $f ( x ) = \sqrt { 3 - x }$ ?

The graph of a function is sketched below. Determine the interval on which the function is decreasing.

An object is thrown upward from a height of 6.4 feet at a velocity of 80 feet per second. Use the position equation s = -16t² + v₀t + s₀ to select a function that represents the situation and select the graph of the function.

Select the graph of the function and determine whether it is even,odd,or neither. F(x)= 4

Select the graph of the given function and determine the interval(s)for which f(x)≥ 0. F(x)= 16 - x²

Select the graph of the function and determine whether it is even,odd,or neither. F(x)= |x + 6|

Find the zeros of the function algebraically.? $f ( x ) = \sqrt { 16 x } - 1$ ?

Find the average rate of change of the function from x₁ = 0 to x₂ = 3.? $f ( x ) = 3 x + 10$ ?