Question 1

Determine whether the given function is linear or nonlinear.
-$$\begin{array} { c | c } 
x & y = f ( x ) \
\hline 3 & 15 \
7 & 35 \
11 & 55 \
15 & 75
\end{array}$$
A) linear
B) nonlinear

Accepted Answer

The function is linear because the difference in y-values divided by the difference in x-values is constant. For each increase of 4 in x (from 3 to 7, 7 to 11, and 11 to 15), the y-value increases by 20, indicating a constant rate of change.

Question 2

Determine the average rate of change for the function.
-$$F ( x ) = 10$$
A) 0
B) $\frac { 1 } { 10 }$
C) 10
D) $- 10$

Accepted Answer

The average rate of change for a constant function, like $F(x) = 10$, is always 0 because the function does not change as $x$ changes.

Question 3

Use the slope and y-intercept to graph the linear function.
-$h ( x ) = - \frac { 1 } { 2 } x - 3$

A)

B)

C)

D)

Accepted Answer

D

Question 4

Determine the slope and y-intercept of the function.
-F(x) = 2
A) m = 0; b = 2
B) m = 2; b = 2
C) m = 0; b = 0
D) m = 2; b = 0

Accepted Answer

The function F(x) = 2 is a horizontal line, which means its slope (m) is 0, and it intersects the y-axis at y = 2, making the y-intercept (b) 2.

Question 5

Use the slope and y-intercept to graph the linear function.
-f(x)=-3

A)

B)

C)

D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 6

Determine the slope and y-intercept of the function.
-p(x) = -x + 6
A) m = 0; b = 6
B) m =1; b = - 6
C) m = -1; b =6
D) m = -1; b = - 6

Accepted Answer

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. For p(x) = -x + 6, m = -1 and b = 6.

Question 7

Use the slope and y-intercept to graph the linear function.
-g(x)=-3x-1

A)

B)

C)

D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 8

Use the slope and y-intercept to graph the linear function.
-f(x) = 2x - 2  
A)

B)

C)

D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 9

Use the slope and y-intercept to graph the linear function.
-$G ( x ) = 4 x$

A)

B)

C)

D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 10

Use the slope and y-intercept to graph the linear function.
-$F ( x ) = \frac { 1 } { 2 } x$

A)

B)

C)

D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 11

Determine the average rate of change for the function.
-f(x) = 9x + 5
A) 5
B) 9
C) -5
D) -9

Accepted Answer

The average rate of change for a linear function like f(x) = 9x + 5 is the coefficient of x, which is 9.

Question 12

Use the slope and y-intercept to graph the linear function.
-p(x)=-x-4

A)

B)

C)

D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 13

Determine the slope and y-intercept of the function.
-$f ( x ) = - \frac { 1 } { 2 } x + 3$
A) $m = 3 ; b = - \frac { 1 } { 2 }$
B) $m = \frac { 1 } { 2 } ; b = - 3$
C)$ { m } = - \frac { 1 } { 2 } ; \mathrm { b } = 3$
D) $\mathrm { m } = - 2 ; \mathrm { b } = - 3$

Accepted Answer

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. For the given function $f(x) = -\frac{1}{2}x + 3$, the slope $m = -\frac{1}{2}$ and the y-intercept $b = 3$.

Question 14

Determine the slope and y-intercept of the function.
-f(x) = 5x - 10
A) m = 5; b = 10
B) m = -5; b = -10
C) m = -5; b = 10
D) m = 5; b = -10

Accepted Answer

The function is in the form y = mx + b, where m is the slope and b is the y-intercept. For f(x) = 5x - 10, m = 5 and b = -10.

Question 15

Use the slope and y-intercept to graph the linear function.
-$f ( x ) = \frac { 3 } { 5 } x - 1$

A)

B)

C)

D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 16

Determine the slope and y-intercept of the function.
-$$F ( x ) = \frac { 1 } { 4 } x$$
A) $\mathrm { m } = 0 ; \mathrm { b } = \frac { 1 } { 4 }$
B) $\mathrm { m } = 4 ; \mathrm { b } = 0$
C) $\mathrm { m } = \frac { 1 } { 4 } ; \mathrm { b } = 0$
D) $\mathrm { m } = - \frac { 1 } { 4 } ; \mathrm { b } = 0$

Accepted Answer

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. For $F(x) = \frac{1}{4}x$, $m = \frac{1}{4}$ and $b = 0$, matching option C.

Question 17

Determine the average rate of change for the function.
-p(x) = -x - 4
A) 1
B) 4
C) -1
D) -4

Accepted Answer

The average rate of change for a linear function like p(x) = -x - 4 is the coefficient of x, which is -1.

Question 18

Determine the average rate of change for the function.
-h(x) = -7x - 2
A) - 2
B) 7
C) -7
D) 2

Accepted Answer

The average rate of change for a linear function like h(x) = -7x - 2 is the coefficient of x, which in this case is -7.

Question 19

Determine the slope and y-intercept of the function.
-G(x) = -2x
A) m = 2; b = 0
B) m = -2; b = 0
C) m = 1 ; b = 0
D) m = 0; b = -2 - 2

Accepted Answer

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. For G(x) = -2x, m = -2 and b = 0, matching option B.

Question 20

Determine the slope and y-intercept of the function.
-h(x) = -11x - 10
A) m = -11; b = - 10
B) m = 11; b = - 10
C) m = -11; b = 10
D) m = 11; b = 10

Accepted Answer

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. For h(x) = -11x - 10, m = -11 and b = -10.

Quiz 2: Linear and Quadratic Functions

Determine whether the given function is linear or nonlinear. - $\begin{array} { c | c } x & y = f ( x ) \\\hline 3 & 15 \\7 & 35 \\11 & 55 \\15 & 75\end{array}$

Determine the average rate of change for the function. - $F ( x ) = 10$

Use the slope and y-intercept to graph the linear function. - $h ( x ) = - \frac { 1 } { 2 } x - 3$ $Use the slope and y-intercept to graph the linear function. - h ( x ) = - \frac { 1 } { 2 } x - 3 A) B) C) D)$

Determine the slope and y-intercept of the function. -F(x) = 2

Use the slope and y-intercept to graph the linear function. -f(x) =-3

Determine the slope and y-intercept of the function. -p(x) = -x + 6

Use the slope and y-intercept to graph the linear function. -g(x) =-3x-1

Use the slope and y-intercept to graph the linear function. -f(x) = 2x - 2

Use the slope and y-intercept to graph the linear function. - $G ( x ) = 4 x$

Use the slope and y-intercept to graph the linear function. - $F ( x ) = \frac { 1 } { 2 } x$ $Use the slope and y-intercept to graph the linear function. - F ( x ) = \frac { 1 } { 2 } x A) B) C) D)$

Determine the average rate of change for the function. -f(x) = 9x + 5

Use the slope and y-intercept to graph the linear function. -p(x) =-x-4

Determine the slope and y-intercept of the function. - $f ( x ) = - \frac { 1 } { 2 } x + 3$

Determine the slope and y-intercept of the function. -f(x) = 5x - 10

Use the slope and y-intercept to graph the linear function. - $f ( x ) = \frac { 3 } { 5 } x - 1$ $Use the slope and y-intercept to graph the linear function. - f ( x ) = \frac { 3 } { 5 } x - 1 A) B) C) D)$

Determine the slope and y-intercept of the function. - $F ( x ) = \frac { 1 } { 4 } x$

Determine the average rate of change for the function. -p(x) = -x - 4

Determine the average rate of change for the function. -h(x) = -7x - 2

Determine the slope and y-intercept of the function. -G(x) = -2x

Determine the slope and y-intercept of the function. -h(x) = -11x - 10

Quiz 2: Linear and Quadratic Functions

Determine whether the given function is linear or nonlinear. - xy=f(x) 31573511551575\begin{array} { c | c } x & y = f ( x ) \\\hline 3 & 15 \\7 & 35 \\11 & 55 \\15 & 75\end{array}x371115​y=f(x) 15355575​​

Determine the average rate of change for the function. - F(x) =10F ( x ) = 10F(x) =10

Use the slope and y-intercept to graph the linear function. - h(x) =−12x−3h ( x ) = - \frac { 1 } { 2 } x - 3h(x) =−21​x−3

Determine the slope and y-intercept of the function. -F(x) = 2

Use the slope and y-intercept to graph the linear function. -f(x) =-3

Determine the slope and y-intercept of the function. -p(x) = -x + 6

Use the slope and y-intercept to graph the linear function. -g(x) =-3x-1

Use the slope and y-intercept to graph the linear function. -f(x) = 2x - 2

Use the slope and y-intercept to graph the linear function. - G(x) =4xG ( x ) = 4 xG(x) =4x

Use the slope and y-intercept to graph the linear function. - F(x) =12xF ( x ) = \frac { 1 } { 2 } xF(x) =21​x

Determine the average rate of change for the function. -f(x) = 9x + 5

Use the slope and y-intercept to graph the linear function. -p(x) =-x-4

Determine the slope and y-intercept of the function. - f(x) =−12x+3f ( x ) = - \frac { 1 } { 2 } x + 3f(x) =−21​x+3

Determine the slope and y-intercept of the function. -f(x) = 5x - 10

Use the slope and y-intercept to graph the linear function. - f(x) =35x−1f ( x ) = \frac { 3 } { 5 } x - 1f(x) =53​x−1

Determine the slope and y-intercept of the function. - F(x) =14xF ( x ) = \frac { 1 } { 4 } xF(x) =41​x

Determine the average rate of change for the function. -p(x) = -x - 4

Determine the average rate of change for the function. -h(x) = -7x - 2

Determine the slope and y-intercept of the function. -G(x) = -2x

Determine the slope and y-intercept of the function. -h(x) = -11x - 10

Determine whether the given function is linear or nonlinear. - $\begin{array} { c | c } x & y = f ( x ) \\\hline 3 & 15 \\7 & 35 \\11 & 55 \\15 & 75\end{array}$

Determine the average rate of change for the function. - $F ( x ) = 10$

Use the slope and y-intercept to graph the linear function. - $h ( x ) = - \frac { 1 } { 2 } x - 3$ $Use the slope and y-intercept to graph the linear function. - h ( x ) = - \frac { 1 } { 2 } x - 3 A) B) C) D)$

Use the slope and y-intercept to graph the linear function. - $G ( x ) = 4 x$

Use the slope and y-intercept to graph the linear function. - $F ( x ) = \frac { 1 } { 2 } x$ $Use the slope and y-intercept to graph the linear function. - F ( x ) = \frac { 1 } { 2 } x A) B) C) D)$

Determine the slope and y-intercept of the function. - $f ( x ) = - \frac { 1 } { 2 } x + 3$

Use the slope and y-intercept to graph the linear function. - $f ( x ) = \frac { 3 } { 5 } x - 1$ $Use the slope and y-intercept to graph the linear function. - f ( x ) = \frac { 3 } { 5 } x - 1 A) B) C) D)$

Determine the slope and y-intercept of the function. - $F ( x ) = \frac { 1 } { 4 } x$