Question 1

Rewrite the equation in slope-intercept form.
$4(x+y)-4=20 x+12$

Accepted Answer

The answer of Rewrite the equation in slope-intercept form.
$4(x+y)-4=20 x+12$...

Question 2

The following figure gives the annual amount of milk produced (in 1000s of pounds) per US milk cow as a function of $t$, the number of years since 1986. Is the regression line $r=-0.34 \mathrm{t}+13.4$ reasonably correct?

Accepted Answer

A) True 
 B)False

Question 3

A certain baseball card's value is given by $V=1+4.6 t$ where $t$ is the number of years after the card was issued. Interpret the constants 1 and 4.6.

Accepted Answer

The constant 1 is the initial

Question 4

Let $f(x)=x^{2}$. Find $c$ so that the average rate of change of the function $f$ between $x=1$ and $x=c$ is 8 .

Accepted Answer

The answer of Let $f(x)=x^{2}$. Find $c$ so that the...

Question 5

An athlete wanting to strengthen his cardiovascular system will bench-press a weight, $w$, as many times, $N$, as possible. The following table shows the relationship between $N$ and $w$.
 
Assuming linearity, let $N$ be a function of $w$. What is the physical interpretation of the vertical intercept?

Accepted Answer

A)  The decrease in the number of bench-presses the athlete can do as the weight increases by 1 pound. 
B)  The number of bench-presses the athlete can do if there is no weight. 
C)  The decrease in the weight the athlete can lift as an additional bench-press is required. 
D)  The amount of weight at which the athlete can no longer do any bench-presses. 
A)  The decrease in the number of bench-presses the athlete can do as the weight increases by 1 pound. 
B)  The number of bench-presses the athlete can do if there is no weight. 
C)  The decrease in the weight the athlete can lift as an additional bench-press is required. 
D)  The amount of weight at which the athlete can no longer do any bench-presses.

Question 6

The distance traveled by a car is $D(t)=50 t$ miles, where $t$ is the number of hours driven. What is the slope?

Accepted Answer

The answer of The distance traveled by a car is...

Question 7

Find the vertical intercept of the line $l$ shown $\mathrm{n}$ the following figure.

Accepted Answer

The answer of Find the vertical intercept of the line...

Question 8

Several years ago, the wild rabbits of Australia were seriously threatened by a virus that was accidentally released into their population. Suppose that the following table gives the number $r$ of rabbits (in millions) remaining $t$ months after the release of the virus.
   
Use a calculator program to find the slope of the linear regression line for this data. Round to 3 decimal places.

Accepted Answer

The answer of Several years ago, the wild rabbits of...

Question 9

The following figure shows scatter plots with $r$ values $0.9,0.5,0,-0.5$, and -0.9 . Which scatter plot has $r$ value 0.5 ?

Accepted Answer

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

Question 10

Calculate the average rate of change for $f(x)=-x^{2}+2 x$ between $x=-3$ and $x=-2$.

Accepted Answer

The answer of Calculate the average rate of change for...

Question 11

An airplane has room for 390 coach-fare seats. It can replace any 3 coach-fare seats with 2 first-class seats. Suppose the airplane is configured with $x$ coach-fare seats and $y$ first-class seats, with no space wasted. If $x=0$, what is the value of $y$ ?

Accepted Answer

The answer of An airplane has room for 390 coach-fare...

Question 12

An athlete wanting to strengthen his cardiovascular system will bench-press a weight, $w$, as many times, $N$, as possible. The following table shows the relationship between $N$ and $w$.
   
Assuming this is a linear relationship, what is the maximum weight this athlete will be able bench-press 5 times? Round to the nearest whole number.

Accepted Answer

The answer of An athlete wanting to strengthen his cardiovascular...

Question 13

Use the following table to find $a$ such that $p(a)=4$. If there is more than one answer, enter the smallest first and separate them by semicolons.

Accepted Answer

The answer of Use the following table to find $a$...

Question 14

Determine the intersection of the linear functions
 2 x+2 y=2 
 -2 x-3 y=-6

Accepted Answer

The answer of Determine the intersection of the linear functions
...

Question 15

An athlete wanting to strengthen his cardiovascular system will bench-press a weight, $w$, as many times, $N$, as possible. The following table shows the relationship between $N$ and $w$.
   
Assuming this is a linear relationship, let $N=b+m w$. Then $b=―――$ and $m=―――$

Accepted Answer

The answer of An athlete wanting to strengthen his cardiovascular...

Question 16

If $f(x)$ is a decreasing function, which of the following is the largest:

Accepted Answer

A)  $ f(-8)$ 
B)  $ f(-6)$ 
C)  $ f(8)$ 
D)  $ f(1)$ 
A)  $ f(-8)$ 
B)  $ f(-6)$ 
C)  $ f(8)$ 
D)  $ f(1)$

Question 17

Approximate the average rate of change for the function $f(x)$ between $x=-1$ and $x=1$

Accepted Answer

The answer of Approximate the average rate of change for...

Question 18

The following table gives the profits (in millions) of a manufacturing company $t$ months after January 1, 2008.
   
Use a calculator program to find the vertical intercept of the linear regression line for this data. Round to 2 decimal places.

Accepted Answer

The answer of The following table gives the profits (in...

Question 19

Choose the formula that represents the linear function graphed in the following figure?

Accepted Answer

A)  $y=\frac{\mathrm{RT}+\mathrm{T} x}{\mathrm{R}-\mathrm{S}}$ 
B)  $y=\frac{\mathrm{RT}-\mathrm{T} x}{\mathrm{R}-\mathrm{S}}$ 
C)  $y=\frac{\mathrm{R}-\mathrm{T} x}{\mathrm{R}-\mathrm{S}}$ 
D)  $y=\frac{\mathrm{T}-\mathrm{RT} x}{\mathrm{R}-\mathrm{S}}$ 
A)  $y=\frac{\mathrm{RT}+\mathrm{T} x}{\mathrm{R}-\mathrm{S}}$ 
B)  $y=\frac{\mathrm{RT}-\mathrm{T} x}{\mathrm{R}-\mathrm{S}}$ 
C)  $y=\frac{\mathrm{R}-\mathrm{T} x}{\mathrm{R}-\mathrm{S}}$ 
D)  $y=\frac{\mathrm{T}-\mathrm{RT} x}{\mathrm{R}-\mathrm{S}}$

Question 20

Calculate the average rate of change of the function $f(x)=8 x-3 x^{2}+12$ between $x=1$ and $x=4$.

Accepted Answer

The answer of Calculate the average rate of change of...

Rewrite the equation in slope-intercept form. $4(x+y)-4=20 x+12$

A certain baseball card's value is given by $V=1+4.6 t$ where $t$ is the number of years after the card was issued. Interpret the constants 1 and 4.6.

Let $f(x)=x^{2}$ . Find $c$ so that the average rate of change of the function $f$ between $x=1$ and $x=c$ is 8 .

The distance traveled by a car is $D(t)=50 t$ miles, where $t$ is the number of hours driven. What is the slope?

Find the vertical intercept of the line $l$ shown $\mathrm{n}$ the following figure. $Find the vertical intercept of the line l shown \mathrm{n} the following figure.$

The following figure shows scatter plots with $r$ values $0.9,0.5,0,-0.5$ , and -0.9 . Which scatter plot has $r$ value 0.5 ?

Calculate the average rate of change for $f(x)=-x^{2}+2 x$ between $x=-3$ and $x=-2$ .

An airplane has room for 390 coach-fare seats. It can replace any 3 coach-fare seats with 2 first-class seats. Suppose the airplane is configured with $x$ coach-fare seats and $y$ first-class seats, with no space wasted. If $x=0$ , what is the value of $y$ ?

Use the following table to find $a$ such that $p(a)=4$ . If there is more than one answer, enter the smallest first and separate them by semicolons.

Determine the intersection of the linear functions 2 x+2 y=2 -2 x-3 y=-6

An athlete wanting to strengthen his cardiovascular system will bench-press a weight, $w$ , as many times, $N$ , as possible. The following table shows the relationship between $N$ and $w$ . Assuming this is a linear relationship, let $N=b+m w$ . Then $b=―――$ and $m=―――$

If $f(x)$ is a decreasing function, which of the following is the largest:

Approximate the average rate of change for the function $f(x)$ between $x=-1$ and $x=1$

The following table gives the profits (in millions) of a manufacturing company $t$ months after January 1, 2008. Use a calculator program to find the vertical intercept of the linear regression line for this data. Round to 2 decimal places.

Choose the formula that represents the linear function graphed in the following figure?

Calculate the average rate of change of the function $f(x)=8 x-3 x^{2}+12$ between $x=1$ and $x=4$ .

Functions

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Exponential Functions

Logarithmic Functions

Transformations of Functions and Their Graphs

Trigonometry and Periodic Functions

Triangle Trigonometry and Polar Coordinates

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Compositions, Inverses, and Combinations of Functions

Polynomial and Rational Functions

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Exam 1: Linear Functions and Change

Rewrite the equation in slope-intercept form. 4(x+y)−4=20x+124(x+y)-4=20 x+124(x+y)−4=20x+12

The following figure gives the annual amount of milk produced (in 1000s of pounds) per US milk cow as a function of ttt , the number of years since 1986. Is the regression line r=−0.34t+13.4r=-0.34 \mathrm{t}+13.4r=−0.34t+13.4 reasonably correct?

A certain baseball card's value is given by V=1+4.6tV=1+4.6 tV=1+4.6t where ttt is the number of years after the card was issued. Interpret the constants 1 and 4.6.

Let f(x)=x2f(x)=x^{2}f(x)=x2 . Find ccc so that the average rate of change of the function fff between x=1x=1x=1 and x=cx=cx=c is 8 .

The distance traveled by a car is D(t)=50tD(t)=50 tD(t)=50t miles, where ttt is the number of hours driven. What is the slope?

Find the vertical intercept of the line lll shown n\mathrm{n}n the following figure.

The following figure shows scatter plots with rrr values 0.9,0.5,0,−0.50.9,0.5,0,-0.50.9,0.5,0,−0.5 , and -0.9 . Which scatter plot has rrr value 0.5 ?

Calculate the average rate of change for f(x)=−x2+2xf(x)=-x^{2}+2 xf(x)=−x2+2x between x=−3x=-3x=−3 and x=−2x=-2x=−2 .

An airplane has room for 390 coach-fare seats. It can replace any 3 coach-fare seats with 2 first-class seats. Suppose the airplane is configured with xxx coach-fare seats and yyy first-class seats, with no space wasted. If x=0x=0x=0 , what is the value of yyy ?

Use the following table to find aaa such that p(a)=4p(a)=4p(a)=4 . If there is more than one answer, enter the smallest first and separate them by semicolons.

Determine the intersection of the linear functions 2 x+2 y=2 -2 x-3 y=-6

If f(x)f(x)f(x) is a decreasing function, which of the following is the largest:

Approximate the average rate of change for the function f(x)f(x)f(x) between x=−1x=-1x=−1 and x=1x=1x=1

The following table gives the profits (in millions) of a manufacturing company ttt months after January 1, 2008. Use a calculator program to find the vertical intercept of the linear regression line for this data. Round to 2 decimal places.

Choose the formula that represents the linear function graphed in the following figure?

Calculate the average rate of change of the function f(x)=8x−3x2+12f(x)=8 x-3 x^{2}+12f(x)=8x−3x2+12 between x=1x=1x=1 and x=4x=4x=4 .

Functions

Quadratic Functions

Exponential Functions

Logarithmic Functions

Transformations of Functions and Their Graphs

Trigonometry and Periodic Functions

Triangle Trigonometry and Polar Coordinates

Trigonometric Identities, Models, and Complex Numbers

Compositions, Inverses, and Combinations of Functions

Polynomial and Rational Functions

Vectors and Matrices

Sequences and Series

Parametric Equations and Conic Sections

Filters

Rewrite the equation in slope-intercept form. $4(x+y)-4=20 x+12$

A certain baseball card's value is given by $V=1+4.6 t$ where $t$ is the number of years after the card was issued. Interpret the constants 1 and 4.6.

Let $f(x)=x^{2}$ . Find $c$ so that the average rate of change of the function $f$ between $x=1$ and $x=c$ is 8 .

The distance traveled by a car is $D(t)=50 t$ miles, where $t$ is the number of hours driven. What is the slope?

Find the vertical intercept of the line $l$ shown $\mathrm{n}$ the following figure. $Find the vertical intercept of the line l shown \mathrm{n} the following figure.$

The following figure shows scatter plots with $r$ values $0.9,0.5,0,-0.5$ , and -0.9 . Which scatter plot has $r$ value 0.5 ?

Calculate the average rate of change for $f(x)=-x^{2}+2 x$ between $x=-3$ and $x=-2$ .

An airplane has room for 390 coach-fare seats. It can replace any 3 coach-fare seats with 2 first-class seats. Suppose the airplane is configured with $x$ coach-fare seats and $y$ first-class seats, with no space wasted. If $x=0$ , what is the value of $y$ ?

Use the following table to find $a$ such that $p(a)=4$ . If there is more than one answer, enter the smallest first and separate them by semicolons.

If $f(x)$ is a decreasing function, which of the following is the largest:

Approximate the average rate of change for the function $f(x)$ between $x=-1$ and $x=1$

The following table gives the profits (in millions) of a manufacturing company $t$ months after January 1, 2008. Use a calculator program to find the vertical intercept of the linear regression line for this data. Round to 2 decimal places.

Calculate the average rate of change of the function $f(x)=8 x-3 x^{2}+12$ between $x=1$ and $x=4$ .