Question 1

Graph the function.
-$f ( x ) = | x |$

Accepted Answer

The answer of Graph the function.
-\(f ( x ) =...

Question 2

Graph the function.
-$f ( x ) = \left\{ \begin{array} { l l } 
1 & \text { if } - 3 \leq x < 7 \
| x | & \text { if } 7 \leq x < 9 \
3 \sqrt { x } & \text { if } 9 \leq x \leq 11
\end{array} \right.$

Accepted Answer

The answer of Graph the function.
-\(f ( x ) =...

Question 3

Graph the function.
-$f ( x ) = \left\{ \begin{array} { l l } 
x + 2 & \text { if } - 9 \leq x < 3 \
- 7 & \text { if } x = 3 \
- x + 4 & \text { if } x > 3
\end{array} \right.$

Accepted Answer

The answer of Graph the function.
-\(f ( x ) =...

Question 4

Locate any intercepts of the function.
-$f ( x ) = \left\{ \begin{array} { l l } - 7 x + 8 & \text { if } x < 1 \ 8 x - 7 & \text { if } x \geq 1 \end{array} \right.$

Accepted Answer

The answer of Locate any intercepts of the function.
-\(f (...

Question 5

Match the graph to the function listed whose graph most resembles the one given.
-

Accepted Answer

The answer of Match the graph to the function listed...

Question 6

Graph the function.
-$$f ( x ) = \left\{ \begin{array} { l l } 
1 & \text { if } - 5 \leq x < - 1 \
| x | & \text { if } - 1 \leq x < 5 \
\sqrt { x } & \text { if } 5 \leq x \leq 27
\end{array} \right.$$

Accepted Answer

The function is defined over three intervals: from -5 to -1, it is constant at 1; from -1 to 5, it follows the absolute value of x; and from 5 to 27, it is the square root of x. This covers all x values from -5 to 27 inclusively, making the domain {x|-5 ≤ x ≤27}.

Question 7

Graph the function.
-$f ( x ) = x ^ { 2 }$

Accepted Answer

The answer of Graph the function.
-\(f ( x ) =...

Question 8

Graph the function.
-$f(x)=\left\{\begin{array}{ll}
-x+3 & \text { if } x<2 \
2 x-3 & \text { if } x \geq 2
\end{array}\right.$

Accepted Answer

The answer of Graph the function.
-\(f(x)=\left\{\begin{array}{ll}
-x+3 & \text { if...

Question 9

Match the graph to the function listed whose graph most resembles the one given.
-

Accepted Answer

The answer of Match the graph to the function listed...

Question 10

Graph the function.
-$f ( x ) = \sqrt { x }$

Accepted Answer

The answer of Graph the function.
-\(f ( x ) =...

Question 11

Graph the function.
-f(x) = x

Accepted Answer

The answer of Graph the function.
-f(x) = x  
...

Question 12

Graph the function.
-$f ( x ) = \sqrt [ 3 ] { x }$

Accepted Answer

The answer of Graph the function.
-\(f ( x ) =...

Question 13

Graph the function.
-

Accepted Answer

The answer of Graph the function.
- 
...

Question 14

Graph the function.
-$f(x)=\left\{\begin{array}{ll}
x+5 & \text { if } x<1 \
-2 & \text { if } x \geq 1
\end{array}\right.$

Accepted Answer

The answer of Graph the function.
-\(f(x)=\left\{\begin{array}{ll}
x+5 & \text { if...

Question 15

Graph the function.
-$f(x)=\left\{\begin{array}{ll}
-x+2 & x<0 \
\sqrt{x}+3 & x \geq 0
\end{array}\right.$

Accepted Answer

The answer of Graph the function.
-\(f(x)=\left\{\begin{array}{ll}
-x+2 & x<0 \
\sqrt{x}+3 &...

Question 16

Graph the function.
-f(x)=1

Accepted Answer

The answer of Graph the function.
-f(x)=1

...

Question 17

Locate any intercepts of the function.
-$$f ( x ) = \left\{ \begin{array} { l l } 
1 & \text { if } - 8 \leq x < - 2 \
| x | & \text { if } - 2 \leq x < 8 \
\sqrt [ 3 ] { x } & \text { if } 8 \leq x \leq 17
\end{array} \right.$$

Accepted Answer

The function has a y-intercept at (0, 0) because when $x = 0$, $f(x) = |0| = 0$. There are no x-intercepts other than (0, 0) because the other parts of the function do not cross the x-axis.

Question 18

Match the graph to the function listed whose graph most resembles the one given.
-

Accepted Answer

The answer of Match the graph to the function listed...

Question 19

Graph the function.
-$f ( x ) = x ^ { 3 }$

Accepted Answer

The answer of Graph the function.
-\(f ( x ) =...

Question 20

Based on the graph, find the range of y = f(x).
-$f ( x ) = \left\{ \begin{array} { l l } 
\frac { 1 } { 3 } x & \text { if } x \neq 0 \
6 & \text { if } x = 0
\end{array} \right.$

Accepted Answer

The answer of Based on the graph, find the range...

Quiz 1: Functions and Their Graphs

Graph the function. - $f ( x ) = | x |$

Locate any intercepts of the function. - $f ( x ) = \left\{ \begin{array} { l l } - 7 x + 8 & \text { if } x < 1 \\ 8 x - 7 & \text { if } x \geq 1 \end{array} \right.$

Match the graph to the function listed whose graph most resembles the one given. -

Graph the function. - $f ( x ) = \left\{ \begin{array} { l l } 1 & \text { if } - 5 \leq x < - 1 \\| x | & \text { if } - 1 \leq x < 5 \\\sqrt { x } & \text { if } 5 \leq x \leq 27\end{array} \right.$

Graph the function. - $f ( x ) = x ^ { 2 }$ $Graph the function. - f ( x ) = x ^ { 2 } A) B) C) D)$

Graph the function. - $f(x) =\left\{\begin{array}{ll}-x+3 & \text { if } x<2 \\2 x-3 & \text { if } x \geq 2\end{array}\right.$ $Graph the function. - f(x) =\left\{\begin{array}{ll} -x+3 & \text { if } x<2 \\ 2 x-3 & \text { if } x \geq 2 \end{array}\right. A) B) C) D)$

Match the graph to the function listed whose graph most resembles the one given. -

Graph the function. - $f ( x ) = \sqrt { x }$ $Graph the function. - f ( x ) = \sqrt { x } A) B) C) D)$

Graph the function. -f(x) = x

Graph the function. - $f ( x ) = \sqrt [ 3 ] { x }$ $Graph the function. - f ( x ) = \sqrt [ 3 ] { x } A) B) C) D)$

Graph the function. -

Graph the function. - $f(x) =\left\{\begin{array}{ll}x+5 & \text { if } x<1 \\-2 & \text { if } x \geq 1\end{array}\right.$ $Graph the function. - f(x) =\left\{\begin{array}{ll} x+5 & \text { if } x<1 \\ -2 & \text { if } x \geq 1 \end{array}\right. A) B) C) D)$

Graph the function. - $f(x) =\left\{\begin{array}{ll}-x+2 & x<0 \\\sqrt{x}+3 & x \geq 0\end{array}\right.$ $Graph the function. - f(x) =\left\{\begin{array}{ll} -x+2 & x<0 \\ \sqrt{x}+3 & x \geq 0 \end{array}\right. A) B) C) D)$

Graph the function. -f(x) =1

Locate any intercepts of the function. - $f ( x ) = \left\{ \begin{array} { l l } 1 & \text { if } - 8 \leq x < - 2 \\| x | & \text { if } - 2 \leq x < 8 \\\sqrt [ 3 ] { x } & \text { if } 8 \leq x \leq 17\end{array} \right.$

Match the graph to the function listed whose graph most resembles the one given. -

Graph the function. - $f ( x ) = x ^ { 3 }$ $Graph the function. - f ( x ) = x ^ { 3 } A) B) C) D)$

Quiz 1: Functions and Their Graphs

Graph the function. - f(x) =∣x∣f ( x ) = | x |f(x) =∣x∣

Graph the function. - f(x) ={x+2 if −9≤x<3−7 if x=3−x+4 if x>3f ( x ) = \left\{ \begin{array} { l l } x + 2 & \text { if } - 9 \leq x < 3 \\- 7 & \text { if } x = 3 \\- x + 4 & \text { if } x > 3\end{array} \right.f(x) =⎩⎨⎧​x+2−7−x+4​ if −9≤x<3 if x=3 if x>3​

Locate any intercepts of the function. - f(x) ={−7x+8 if x<18x−7 if x≥1f ( x ) = \left\{ \begin{array} { l l } - 7 x + 8 & \text { if } x < 1 \\ 8 x - 7 & \text { if } x \geq 1 \end{array} \right.f(x) ={−7x+88x−7​ if x<1 if x≥1​

Match the graph to the function listed whose graph most resembles the one given. -

Graph the function. - f(x) =x2f ( x ) = x ^ { 2 }f(x) =x2

Graph the function. - f(x) ={−x+3 if x<22x−3 if x≥2f(x) =\left\{\begin{array}{ll}-x+3 & \text { if } x<2 \\2 x-3 & \text { if } x \geq 2\end{array}\right.f(x) ={−x+32x−3​ if x<2 if x≥2​

Match the graph to the function listed whose graph most resembles the one given. -

Graph the function. - f(x) =xf ( x ) = \sqrt { x }f(x) =x​

Graph the function. -f(x) = x

Graph the function. - f(x) =x3f ( x ) = \sqrt [ 3 ] { x }f(x) =3x​

Graph the function. -

Graph the function. - f(x) ={x+5 if x<1−2 if x≥1f(x) =\left\{\begin{array}{ll}x+5 & \text { if } x<1 \\-2 & \text { if } x \geq 1\end{array}\right.f(x) ={x+5−2​ if x<1 if x≥1​

Graph the function. - f(x) ={−x+2x<0x+3x≥0f(x) =\left\{\begin{array}{ll}-x+2 & x<0 \\\sqrt{x}+3 & x \geq 0\end{array}\right.f(x) ={−x+2x​+3​x<0x≥0​

Graph the function. -f(x) =1

Match the graph to the function listed whose graph most resembles the one given. -

Graph the function. - f(x) =x3f ( x ) = x ^ { 3 }f(x) =x3

Based on the graph, find the range of y = f(x) . - f(x) ={13x if x≠06 if x=0f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 3 } x & \text { if } x \neq 0 \\6 & \text { if } x = 0\end{array} \right.f(x) ={31​x6​ if x=0 if x=0​

Graph the function. - $f ( x ) = | x |$

Locate any intercepts of the function. - $f ( x ) = \left\{ \begin{array} { l l } - 7 x + 8 & \text { if } x < 1 \\ 8 x - 7 & \text { if } x \geq 1 \end{array} \right.$

Graph the function. - $f ( x ) = x ^ { 2 }$ $Graph the function. - f ( x ) = x ^ { 2 } A) B) C) D)$

Graph the function. - $f(x) =\left\{\begin{array}{ll}-x+3 & \text { if } x<2 \\2 x-3 & \text { if } x \geq 2\end{array}\right.$ $Graph the function. - f(x) =\left\{\begin{array}{ll} -x+3 & \text { if } x<2 \\ 2 x-3 & \text { if } x \geq 2 \end{array}\right. A) B) C) D)$

Graph the function. - $f ( x ) = \sqrt { x }$ $Graph the function. - f ( x ) = \sqrt { x } A) B) C) D)$

Graph the function. - $f ( x ) = \sqrt [ 3 ] { x }$ $Graph the function. - f ( x ) = \sqrt [ 3 ] { x } A) B) C) D)$

Graph the function. - $f(x) =\left\{\begin{array}{ll}x+5 & \text { if } x<1 \\-2 & \text { if } x \geq 1\end{array}\right.$ $Graph the function. - f(x) =\left\{\begin{array}{ll} x+5 & \text { if } x<1 \\ -2 & \text { if } x \geq 1 \end{array}\right. A) B) C) D)$

Graph the function. - $f(x) =\left\{\begin{array}{ll}-x+2 & x<0 \\\sqrt{x}+3 & x \geq 0\end{array}\right.$ $Graph the function. - f(x) =\left\{\begin{array}{ll} -x+2 & x<0 \\ \sqrt{x}+3 & x \geq 0 \end{array}\right. A) B) C) D)$

Graph the function. - $f ( x ) = x ^ { 3 }$ $Graph the function. - f ( x ) = x ^ { 3 } A) B) C) D)$