Question 1

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 2

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 3

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

Question 4

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

Accepted Answer

A)    −B/A-B / A−B/A 
B)    A+B A+BA+B 
C)    −AB-A B−AB 
D)    B−AB-AB−A

Question 5

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 6

Determine the intersection of the linear functions

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

Question 7

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...

Question 8

Match the graph to the linear inequality it represents.

Accepted Answer

A)    y≥34x+1y \geq \frac{3}{4} x+1y≥43​x+1 
B)    y≥34x−1y \geq \frac{3}{4} x-1y≥43​x−1 
C)    y≤43x−1y \leq \frac{4}{3} x-1y≤34​x−1 
D)    y≤−34x−1y \leq-\frac{3}{4} x-1y≤−43​x−1

Question 9

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 $P$.

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

Question 10

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 11

Could the following table represent a linear function?

Accepted Answer

A) True 
 B)False

Question 12

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

Accepted Answer

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

Question 13

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 14

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 15

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 16

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 17

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

Accepted Answer

A)    f(1) ">f(5) >f(1)  f(5) >f(1) f(5) >f(1)  
B)    f(5) ≤f(1)  f(5)  \leq f(1) f(5) ≤f(1)  
C)    0">f(1) −f(5) 1−5>0\frac{f(1) -f(5) }{1-5}>01−5f(1) −f(5) ​>0 
D)   For some value of  x≠5,f(x) =f(5) x 
eq 5, f(x) =f(5) x=5,f(x) =f(5)

Question 18

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

Accepted Answer

A)    13f(x) −1=x\frac{1}{3} f(x) -1=x31​f(x) −1=x 
B)    −13g(x) =x+1-\frac{1}{3} g(x) =x+1−31​g(x) =x+1 
C)    4h(x) −x=34 h(x) -x=34h(x) −x=3 
D)    j(x) =3x j(x) =3 xj(x) =3x 
E)    k(x) =3 k(x) =3k(x) =3 F)   4p(x) −x=74 p(x) -x=74p(x) −x=7

Question 19

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)

Accepted Answer

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

Question 20

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  ?

Accepted Answer

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

Exam 1: Linear Functions and Change

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 .

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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.

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Could the following table represent a linear function?

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

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

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Match the graph to the linear inequality it represents.

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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) .

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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=―――

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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)

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

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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?

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

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Determine the intersection of the linear functions

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

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

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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=―――

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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 ?

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

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

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

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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 $P$ .

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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.

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

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Match the graph to the linear inequality it represents. $Match the graph to the linear inequality it represents. A) y \geq \frac{3}{4} x+1 B) y \geq \frac{3}{4} x-1 C) y \leq \frac{4}{3} x-1 D) y \leq-\frac{3}{4} x-1$

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

Correct Answer
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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 $m=―――$

Correct Answer
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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)

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

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

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

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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 $m=―――$

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

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

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

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