Question 1

The following figure gives lines $A, B, C, D$, and $E$. Their equations are given below. Which is the equation for line $E$ ?

Accepted Answer

A)  $ f(x)=3+2 x$ 
B)  $f(x)=3+0.5 x$ 
C)  $f(x)=3-0.5 x$ 
D)  $f(x)=3-2 x$ 
E)  $f(x)=3$ 
A)  $ f(x)=3+2 x$ 
B)  $f(x)=3+0.5 x$ 
C)  $f(x)=3-0.5 x$ 
D)  $f(x)=3-2 x$ 
E)  $f(x)=3$

Question 2

One of the functions represented in the table below is linear. What is its vertical intercept?

Accepted Answer

The answer of One of the functions represented in the...

Question 3

The distance traveled by a car is $D(t)=65 t$ miles, where $t$ is the number of hours driven. What is the meaning of the number 65? (Mark all that apply)

Accepted Answer

A)  The vertical intercept 
B)  The slope 
C)  The total distance traveled 
D)  The speed of the car 
A)  The vertical intercept 
B)  The slope 
C)  The total distance traveled 
D)  The speed of the car

Question 4

Is the function graphed in the following figure increasing or decreasing on the interval 5 $<\mathrm{x}<7$ ?

Accepted Answer

The answer of Is the function graphed in the following...

Question 5

Are the lines represented by these equations parallel? Perpendicular? Or neither?
9 x+8 y=2
8 x+9 y=4

Accepted Answer

A)  Perpendicular 
B)  Parallel 
C)  Neither 
A)  Perpendicular 
B)  Parallel 
C)  Neither

Question 6

Determine the intersection of the linear functions

Accepted Answer

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

Question 7

Suppose there are 110 people living in a small town and the rate of change of the town's population is 6 people per year. How many people will be living in the town twenty years from now?

Accepted Answer

The answer of Suppose there are 110 people living in...

Question 8

If $f(x)$ is an increasing function, which of the following must be true.

Accepted Answer

A)  $ f(5)>f(1)$ 
B)  $ f(5) \leq f(1)$ 
C)  $\frac{f(1)-f(5)}{1-5}>0$ 
D)  For some value of $x \neq 5, f(x)=f(5)$ 
A)  $ f(5)>f(1)$ 
B)  $ f(5) \leq f(1)$ 
C)  $\frac{f(1)-f(5)}{1-5}>0$ 
D)  For some value of $x \neq 5, f(x)=f(5)$

Question 9

Using the following figure, find the average rate of change of $f$ for $1<x<2$.

Accepted Answer

The answer of Using the following figure, find the average...

Question 10

In the following figure, let $A=8$ and $B=4$. Find the equation of the line through $(A$, $B)$ and $(P, 0)$ and use it to find the value of $P$.

Accepted Answer

The answer of In the following figure, let $A=8$ and...

Question 11

The formula for the line intersecting the graph of $f(x)=\frac{1}{x}$ at $x=0.2$ and $x=2$ is given by $y=b+m x$, where $b=―――$ and $m=―――$

Accepted Answer

The answer of The formula for the line intersecting the...

Question 12

Let $y=p(x)$ be defined by the following graph. What is $p(0)$ ?

Accepted Answer

The answer of Let $y=p(x)$ be defined by the following...

Question 13

What is the vertical intercept of the line $l$ in the following figure in terms of the constants $A$ and $B$ ?

Accepted Answer

A)  $-B / A$ 
B)  $ A+B$ 
C)  $-A B$ 
D)  $B-A$ 
A)  $-B / A$ 
B)  $ A+B$ 
C)  $-A B$ 
D)  $B-A$

Question 14

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship.
   
Estimate $C(2.5)$.

Accepted Answer

The answer of The following table shows the cost of...

Question 15

Match the graph to the linear inequality it represents.

Accepted Answer

A)  $y \geq \frac{3}{4} x+1$ 
B)  $y \geq \frac{3}{4} x-1$ 
C)  $y \leq \frac{4}{3} x-1$ 
D)  $y \leq-\frac{3}{4} x-1$ 
A)  $y \geq \frac{3}{4} x+1$ 
B)  $y \geq \frac{3}{4} x-1$ 
C)  $y \leq \frac{4}{3} x-1$ 
D)  $y \leq-\frac{3}{4} x-1$

Question 16

Suppose that $f(x)$ is linear with an $x$-intercept of -1 and a $y$-intercept of 5. If $f(x)=b+m x$, then $b=―――$ and $m=―――$

Accepted Answer

The answer of Suppose that $f(x)$ is linear with an...

Question 17

Mark all of the following functions that are neither increasing nor decreasing.

Accepted Answer

A)  $\frac{1}{3} f(x)-1=x$ 
B)  $-\frac{1}{3} g(x)=x+1$ 
C)  $4 h(x)-x=3$ 
D)  $ j(x)=3 x$ 
E)  $ k(x)=3$
F) $4 p(x)-x=7$ 
A)  $\frac{1}{3} f(x)-1=x$ 
B)  $-\frac{1}{3} g(x)=x+1$ 
C)  $4 h(x)-x=3$ 
D)  $ j(x)=3 x$ 
E)  $ k(x)=3$
F) $4 p(x)-x=7$

Question 18

Write the relationship of population, $P$, as a function of time, $t$, in years using function notation. Assume a direct relationship.

Accepted Answer

A)  $ P=f(t)$ 
B)  $t=f(P)$ 
C)  $t=f(1 / P)$ 
D)  $ P=f(1 / t)$ 
A)  $ P=f(t)$ 
B)  $t=f(P)$ 
C)  $t=f(1 / P)$ 
D)  $ P=f(1 / t)$

Question 19

Could the following table represent a linear function?

Accepted Answer

A) True 
 B)False

Question 20

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship.
   
If $C(m)=9.5$, estimate $m$ to 1 decimal place.

Accepted Answer

The answer of The following table shows the cost of...

The following figure gives lines $A, B, C, D$ , and $E$ . Their equations are given below. Which is the equation for line $E$ ?

One of the functions represented in the table below is linear. What is its vertical intercept?

The distance traveled by a car is $D(t)=65 t$ miles, where $t$ is the number of hours driven. What is the meaning of the number 65? (Mark all that apply)

Is the function graphed in the following figure increasing or decreasing on the interval 5 $<\mathrm{x}<7$ ? $Is the function graphed in the following figure increasing or decreasing on the interval 5 <\mathrm{x}<7 ?$

Are the lines represented by these equations parallel? Perpendicular? Or neither? 9 x+8 y=2 8 x+9 y=4

Determine the intersection of the linear functions

Suppose there are 110 people living in a small town and the rate of change of the town's population is 6 people per year. How many people will be living in the town twenty years from now?

If $f(x)$ is an increasing function, which of the following must be true.

Using the following figure, find the average rate of change of $f$ for $1<x<2$ .

In the following figure, let $A=8$ and $B=4$ . Find the equation of the line through $(A$ , $B)$ and $(P, 0)$ and use it to find the value of $P$ .

The formula for the line intersecting the graph of $f(x)=\frac{1}{x}$ at $x=0.2$ and $x=2$ is given by $y=b+m x$ , where $b=―――$ and $m=―――$

Let $y=p(x)$ be defined by the following graph. What is $p(0)$ ?

What is the vertical intercept of the line $l$ in the following figure in terms of the constants $A$ and $B$ ?

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. Estimate $C(2.5)$ .

Match the graph to the linear inequality it represents.

Suppose that $f(x)$ is linear with an $x$ -intercept of -1 and a $y$ -intercept of 5. If $f(x)=b+m x$ , then $b=―――$ and $m=―――$

Mark all of the following functions that are neither increasing nor decreasing.

Write the relationship of population, $P$ , as a function of time, $t$ , in years using function notation. Assume a direct relationship.

Could the following table represent a linear function?

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. If $C(m)=9.5$ , estimate $m$ to 1 decimal place.

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

Exam 1: Linear Functions and Change

The following figure gives lines A,B,C,DA, B, C, DA,B,C,D , and EEE . Their equations are given below. Which is the equation for line EEE ?

One of the functions represented in the table below is linear. What is its vertical intercept?

The distance traveled by a car is D(t)=65tD(t)=65 tD(t)=65t miles, where ttt is the number of hours driven. What is the meaning of the number 65? (Mark all that apply)

Is the function graphed in the following figure increasing or decreasing on the interval 5 <x<7<\mathrm{x}<7<x<7 ?

Are the lines represented by these equations parallel? Perpendicular? Or neither? 9 x+8 y=2 8 x+9 y=4

Determine the intersection of the linear functions

Suppose there are 110 people living in a small town and the rate of change of the town's population is 6 people per year. How many people will be living in the town twenty years from now?

If f(x)f(x)f(x) is an increasing function, which of the following must be true.

Using the following figure, find the average rate of change of fff for 1<x<21<x<21<x<2 .

In the following figure, let A=8A=8A=8 and B=4B=4B=4 . Find the equation of the line through (A(A(A , B)B)B) and (P,0)(P, 0)(P,0) and use it to find the value of PPP .

The formula for the line intersecting the graph of f(x)=1xf(x)=\frac{1}{x}f(x)=x1​ at x=0.2x=0.2x=0.2 and x=2x=2x=2 is given by y=b+mxy=b+m xy=b+mx , where b=―――b=―――b=――― and m=―――m=―――m=―――

Let y=p(x)y=p(x)y=p(x) be defined by the following graph. What is p(0)p(0)p(0) ?

What is the vertical intercept of the line lll in the following figure in terms of the constants AAA and BBB ?

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. Estimate C(2.5)C(2.5)C(2.5) .

Match the graph to the linear inequality it represents.

Suppose that f(x)f(x)f(x) is linear with an xxx -intercept of -1 and a yyy -intercept of 5. If f(x)=b+mxf(x)=b+m xf(x)=b+mx , then b=―――b=―――b=――― and m=―――m=―――m=―――

Mark all of the following functions that are neither increasing nor decreasing.

Write the relationship of population, PPP , as a function of time, ttt , in years using function notation. Assume a direct relationship.

Could the following table represent a linear function?

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. If C(m)=9.5C(m)=9.5C(m)=9.5 , estimate mmm to 1 decimal place.

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

The following figure gives lines $A, B, C, D$ , and $E$ . Their equations are given below. Which is the equation for line $E$ ?

The distance traveled by a car is $D(t)=65 t$ miles, where $t$ is the number of hours driven. What is the meaning of the number 65? (Mark all that apply)

Is the function graphed in the following figure increasing or decreasing on the interval 5 $<\mathrm{x}<7$ ? $Is the function graphed in the following figure increasing or decreasing on the interval 5 <\mathrm{x}<7 ?$

If $f(x)$ is an increasing function, which of the following must be true.

Using the following figure, find the average rate of change of $f$ for $1<x<2$ .

In the following figure, let $A=8$ and $B=4$ . Find the equation of the line through $(A$ , $B)$ and $(P, 0)$ and use it to find the value of $P$ .

The formula for the line intersecting the graph of $f(x)=\frac{1}{x}$ at $x=0.2$ and $x=2$ is given by $y=b+m x$ , where $b=―――$ and $m=―――$

Let $y=p(x)$ be defined by the following graph. What is $p(0)$ ?

What is the vertical intercept of the line $l$ in the following figure in terms of the constants $A$ and $B$ ?

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. Estimate $C(2.5)$ .

Suppose that $f(x)$ is linear with an $x$ -intercept of -1 and a $y$ -intercept of 5. If $f(x)=b+m x$ , then $b=―――$ and $m=―――$

Write the relationship of population, $P$ , as a function of time, $t$ , in years using function notation. Assume a direct relationship.

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. If $C(m)=9.5$ , estimate $m$ to 1 decimal place.