Question 1

Based on the following table, find $f ( 2 ) - f ( - 2 )$ . $$\begin{array} { | c | c | c | c | c | c | c | c | } 
\hline x & - 3 & - 2 & - 1 & 0 & 1 & 2 & 3 \
\hline f ( x ) & 2 & 7 & 2 & - 2 & 5 & 1.2 & 0.9 \
\hline
\end{array}$$

Accepted Answer

A) -5.8 
B)  8.2 
C)  0 
D)  15.2 
E)  2.4 
A) -5.8 
B)  8.2 
C)  0 
D)  15.2 
E)  2.4

Question 2

Find the linear equation that is the straight line through (25, -1) and increasing at a rate of 5 units of y per unit of x.

Accepted Answer

A)  $y = 5 x + 127$ 
B)     $y = 5 x - 127$ 
C)   $y = 5 x - 126$ 
D)   $y = 127 x + 126$ 
E)  $y = 126 x - 127$ 
A)  $y = 5 x + 127$ 
B)     $y = 5 x - 127$ 
C)   $y = 5 x - 126$ 
D)   $y = 127 x + 126$ 
E)  $y = 126 x - 127$

Question 3

The Oliver company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 6,000 units in 2005. The selling price will be $5 per unit. Variable costs are estimated to be 40% of total revenue. Fixed costs are estimated to be $15,000 for 2005. How many units should the company sell to break even 
 
Number of units = __________

Accepted Answer

The answer of The Oliver company plans to market a...

Question 4

Use technology (such as spreadsheet web site utilities, or a graphing calculator) to evaluate the function for $x = 4.2$ .  
  $f ( x ) = 0.8 x ^ { 2 } - 7 x + 4$

Accepted Answer

A) -19.288 
B)  -11.288 
C)  47.512 
D)  -18.68 
E)  39.512 
A) -19.288 
B)  -11.288 
C)  47.512 
D)  -18.68 
E)  39.512

Question 5

Graph shows the number of sports utility vehicles $f ( t )$ sold in the United States. $f ( t )$ represents sales in year t in thousands of vehicles. Use the graph to estimate the largest value of $f ( t )$ for $$( 0 \leq t \leq 5 )$$ .
​   ​
Please enter your answer as a number without the units.

Accepted Answer

The answer of Graph shows the number of sports utility...

Question 6

Function f is $$f ( x ) = \left\{ \begin{array} { l l } 
- 6 & \text { if } 0 \leq x < 9 \
- 6 x & \text { if } 9 \leq x < 18
\end{array} \right.$$ 
Find $f ( 3 )$ .

Accepted Answer

A) -18 
B)  -6 
C)  18 
D)  9 
A) -18 
B)  -6 
C)  18 
D)  9

Question 7

Find the best-fit line associated with the set of points.
​ $( 0,5 )$ , $( 1,5 )$ , $( 2,10 )$ ​
Please enter your answer as an equation of line in the form $y = m x + b$ . Round m and b to the nearest hundredth if necessary.

Accepted Answer

The answer of Find the best-fit line associated with the...

Question 8

Annual federal spending on Medicare increased more or less linearly from $55 billion in 1973 to $160 billion in 1994. Use these data to express ​s, the annual spending on Medicare (in billions of dollars), as a linear function of t, the number of years since 1973.

Accepted Answer

The answer of Annual federal spending on Medicare increased more...

Question 9

Choose the graph of the function $f ( x ) = 6 \sqrt [ 3 ] { x }$ , domain $( - \infty , \infty )$ from the following:

Accepted Answer

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

Question 10

Find the equation of the given linear function. $$\begin{array} { | l | l | l | l | l | } 
\hline \boldsymbol { x } & - 2 & 0 & 2 & 4 \
\hline \boldsymbol { f } ( \boldsymbol { x } ) & 5 & 1 & - 3 & - 7 \
\hline
\end{array}$$

Accepted Answer

A)  $f ( x ) = - 1 + 2 x$ 
B)   $f ( x ) = 1 - 2 x$ 
C)   $f ( x ) = 4 - 2.1 x$ 
D)   $f ( x ) = 4 - 2 x$ 
E)   $f ( x ) = 1 + 2.7 x$ 
A)  $f ( x ) = - 1 + 2 x$ 
B)   $f ( x ) = 1 - 2 x$ 
C)   $f ( x ) = 4 - 2.1 x$ 
D)   $f ( x ) = 4 - 2 x$ 
E)   $f ( x ) = 1 + 2.7 x$

Question 11

Given $g ( s ) = s ^ { 2 } + \frac { 2 } { s }$ , find $g ( 2 )$ .

Accepted Answer

A) 5 
B)  -3 
C)  4 
D)  3 
E)  8 
A) 5 
B)  -3 
C)  4 
D)  3 
E)  8

Question 12

a) Find correlation coefficient to the set of data. Round the answer to 4 decimal places if necessary.
  $\{ ( 1,3 ) , ( - 2,9 ) , ( 2,1 ) \}$  
r = __________
 
b) Find correlation coefficient to the set of data. Round the answer to 4 decimal places if necessary.
  $\{ ( 0,1 ) , ( 1,0 ) , ( 2,1 ) \}$  
r = __________
 
c) Find correlation coefficient to the set of data. Round the answer to 4 decimal places if necessary.
  $\{ ( 0,0 ) , ( 5 , - 5 ) , ( 2 , - 1.7 ) \}$  
r = __________
 
Use correlation coefficients to determine which of the given sets of data is best fit by its associated regression line.
 
__________
 
Use correlation coefficients to determine which of the given sets of data is worst fit by its associated regression line  .
 
Is it a perfect fit for any of the data sets

Accepted Answer

-1; 0; -0.

Question 13

Calculate the slope of the straight line through the points $( - 1,0 )$ and $\left( - \frac { 13 } { 14 } , \frac { 1 } { 7 } \right)$ . Try to do the calculations mentally.

Accepted Answer

The answer of Calculate the slope of the straight line...

Question 14

Given $f ( x ) = 3 x + 10$ , find $f ( a + b )$ .

Accepted Answer

The answer of Given \(f ( x ) = 3...

Question 15

Find the best-fit line associated with the set of points.   $( 1,5 )$ , $( 2,10 )$ , $( 3,16 )$

Accepted Answer

A)  $y = 5.5 x - 0.67$ 
B)    $y = x$ 
C)    $y = 5.5 x$ 
D)    $y = 5.5 x + 0.67$ 
E)    $y = 5.5 x - 1$ 
A)  $y = 5.5 x - 0.67$ 
B)    $y = x$ 
C)    $y = 5.5 x$ 
D)    $y = 5.5 x + 0.67$ 
E)    $y = 5.5 x - 1$

Question 16

Graph shows the number of sports utility vehicles $f ( t )$ sold in the United States. $f ( t )$ represents sales in year t in thousands of vehicles. Use the graph to estimate the smallest value of $f ( t )$ for $$( 3 \leq t \leq 9 )$$ .
​   ​
Please enter your answer as a number without the units.

Accepted Answer

The answer of Graph shows the number of sports utility...

Question 17

Based on the following table, find $f ( 2 ) - f ( - 2 )$ . $$\begin{array} { | c | c | c | c | c | c | c | c | } 
\hline x & - 3 & - 2 & - 1 & 0 & 1 & 2 & 3 \
\hline f ( x ) & 1 & 1 & 7 & 1 & 1 & 0.5 & 1.35 \
\hline
\end{array}$$

Accepted Answer

A) 2.5 
B)  -0.5 
C)  1 
D)  1.5 
E)  0 
A) 2.5 
B)  -0.5 
C)  1 
D)  1.5 
E)  0

Question 18

A police car was traveling down Ocean Parkway in a high-speed chase from Jones Beach. The car was at Jones Beach at exactly 9:00 p.m. $( t = 0 )$ , and was at Oak Beach, 13 miles from Jones Beach, at exactly 9:07 p.m. How fast, in miles per minute, was the police car traveling  Round your answer to one decimal place.
 
v = __________ $\frac { \text { miles } } { \text { min } }$

Accepted Answer

The answer of A police car was traveling down Ocean...

Question 19

In 1950 the number of retirees was approximately 150 per thousand people aged 20-64. In 1990 this number rose to approximately 200, and it is projected to rise to 275 in 2020. Model ​N as a piecewise linear function of the time t in years since 1950, and use your model to project the number of retires per thousand people aged 20-64 in 1965. (Round you answer to the nearest integer.) ​

Accepted Answer

A) 169 people per thousand 
B)  219 people per thousand 
C)  203 people per thousand 
D)  152 people per thousand 
E)  118 people per thousand 
A) 169 people per thousand 
B)  219 people per thousand 
C)  203 people per thousand 
D)  152 people per thousand 
E)  118 people per thousand

Based on the following table, find $f ( 2 ) - f ( - 2 )$ . x -3 -2 -1 0 1 2 3 f(x) 2 7 2 -2 5 1.2 0.9

Find the linear equation that is the straight line through (25, -1) and increasing at a rate of 5 units of y per unit of x.

Use technology (such as spreadsheet web site utilities, or a graphing calculator) to evaluate the function for $x = 4.2$ . $f ( x ) = 0.8 x ^ { 2 } - 7 x + 4$

Function f is $f ( x ) = \left\{ \begin{array} { l l } - 6 & \text { if } 0 \leq x < 9 \\- 6 x & \text { if } 9 \leq x < 18\end{array} \right.$ Find $f ( 3 )$ .

Find the best-fit line associated with the set of points. $( 0,5 )$ , $( 1,5 )$ , $( 2,10 )$ Please enter your answer as an equation of line in the form $y = m x + b$ . Round m and b to the nearest hundredth if necessary.

Annual federal spending on Medicare increased more or less linearly from $55 billion in 1973 to $160 billion in 1994. Use these data to express s, the annual spending on Medicare (in billions of dollars), as a linear function of t, the number of years since 1973.

Choose the graph of the function $f ( x ) = 6 \sqrt [ 3 ] { x }$ , domain $( - \infty , \infty )$ from the following:

Find the equation of the given linear function. -2 0 2 4 ( ) 5 1 -3 -7

Given $g ( s ) = s ^ { 2 } + \frac { 2 } { s }$ , find $g ( 2 )$ .

Calculate the slope of the straight line through the points $( - 1,0 )$ and $\left( - \frac { 13 } { 14 } , \frac { 1 } { 7 } \right)$ . Try to do the calculations mentally.

Given $f ( x ) = 3 x + 10$ , find $f ( a + b )$ .

Find the best-fit line associated with the set of points. $( 1,5 )$ , $( 2,10 )$ , $( 3,16 )$

Based on the following table, find $f ( 2 ) - f ( - 2 )$ . x -3 -2 -1 0 1 2 3 f(x) 1 1 7 1 1 0.5 1.35

Nonlinear Functions and Models

The Mathematics of Finance

Systems of Linear Equations and Matrices

Matrix Algebra and Applications

Linear Programming

Sets and Counting

Probability

Random Variables and Statistics

Introduction to the Derivative

Techniques of Differentiation

Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Exam 1: Functions and Applications

Based on the following table, find f(2)−f(−2)f ( 2 ) - f ( - 2 )f(2)−f(−2) . x -3 -2 -1 0 1 2 3 f(x) 2 7 2 -2 5 1.2 0.9

Find the linear equation that is the straight line through (25, -1) and increasing at a rate of 5 units of y per unit of x.

Use technology (such as spreadsheet web site utilities, or a graphing calculator) to evaluate the function for x=4.2x = 4.2x=4.2 . f(x)=0.8x2−7x+4f ( x ) = 0.8 x ^ { 2 } - 7 x + 4f(x)=0.8x2−7x+4

Function f is f(x)={−6 if 0≤x<9−6x if 9≤x<18f ( x ) = \left\{ \begin{array} { l l } - 6 & \text { if } 0 \leq x < 9 \\- 6 x & \text { if } 9 \leq x < 18\end{array} \right.f(x)={−6−6x​ if 0≤x<9 if 9≤x<18​ Find f(3)f ( 3 )f(3) .

Find the best-fit line associated with the set of points. ​ (0,5)( 0,5 )(0,5) , (1,5)( 1,5 )(1,5) , (2,10)( 2,10 )(2,10) ​ Please enter your answer as an equation of line in the form y=mx+by = m x + by=mx+b . Round m and b to the nearest hundredth if necessary.

Annual federal spending on Medicare increased more or less linearly from $55 billion in 1973 to $160 billion in 1994. Use these data to express ​s, the annual spending on Medicare (in billions of dollars), as a linear function of t, the number of years since 1973.

Choose the graph of the function f(x)=6x3f ( x ) = 6 \sqrt [ 3 ] { x }f(x)=63x​ , domain (−∞,∞)( - \infty , \infty )(−∞,∞) from the following:

Find the equation of the given linear function. -2 0 2 4 ( ) 5 1 -3 -7

Given g(s)=s2+2sg ( s ) = s ^ { 2 } + \frac { 2 } { s }g(s)=s2+s2​ , find g(2)g ( 2 )g(2) .

Calculate the slope of the straight line through the points (−1,0)( - 1,0 )(−1,0) and (−1314,17)\left( - \frac { 13 } { 14 } , \frac { 1 } { 7 } \right)(−1413​,71​) . Try to do the calculations mentally.

Given f(x)=3x+10f ( x ) = 3 x + 10f(x)=3x+10 , find f(a+b)f ( a + b )f(a+b) .

Find the best-fit line associated with the set of points. (1,5)( 1,5 )(1,5) , (2,10)( 2,10 )(2,10) , (3,16)( 3,16 )(3,16)

Based on the following table, find f(2)−f(−2)f ( 2 ) - f ( - 2 )f(2)−f(−2) . x -3 -2 -1 0 1 2 3 f(x) 1 1 7 1 1 0.5 1.35

Nonlinear Functions and Models

The Mathematics of Finance

Systems of Linear Equations and Matrices

Matrix Algebra and Applications

Linear Programming

Sets and Counting

Probability

Random Variables and Statistics

Introduction to the Derivative

Techniques of Differentiation

Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Based on the following table, find $f ( 2 ) - f ( - 2 )$ . x -3 -2 -1 0 1 2 3 f(x) 2 7 2 -2 5 1.2 0.9

Use technology (such as spreadsheet web site utilities, or a graphing calculator) to evaluate the function for $x = 4.2$ . $f ( x ) = 0.8 x ^ { 2 } - 7 x + 4$

Function f is $f ( x ) = \left\{ \begin{array} { l l } - 6 & \text { if } 0 \leq x < 9 \\- 6 x & \text { if } 9 \leq x < 18\end{array} \right.$ Find $f ( 3 )$ .

Find the best-fit line associated with the set of points. $( 0,5 )$ , $( 1,5 )$ , $( 2,10 )$ Please enter your answer as an equation of line in the form $y = m x + b$ . Round m and b to the nearest hundredth if necessary.

Annual federal spending on Medicare increased more or less linearly from $55 billion in 1973 to $160 billion in 1994. Use these data to express s, the annual spending on Medicare (in billions of dollars), as a linear function of t, the number of years since 1973.

Choose the graph of the function $f ( x ) = 6 \sqrt [ 3 ] { x }$ , domain $( - \infty , \infty )$ from the following:

Given $g ( s ) = s ^ { 2 } + \frac { 2 } { s }$ , find $g ( 2 )$ .

Calculate the slope of the straight line through the points $( - 1,0 )$ and $\left( - \frac { 13 } { 14 } , \frac { 1 } { 7 } \right)$ . Try to do the calculations mentally.

Given $f ( x ) = 3 x + 10$ , find $f ( a + b )$ .

Find the best-fit line associated with the set of points. $( 1,5 )$ , $( 2,10 )$ , $( 3,16 )$

Based on the following table, find $f ( 2 ) - f ( - 2 )$ . x -3 -2 -1 0 1 2 3 f(x) 1 1 7 1 1 0.5 1.35