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Use the graph of g to answer the questions. Assume the domain of g is [-8,8]. a. g(8) = b. g(-4) = c. For how many values of x does g(x) = -0.1? ______ d. For what value(s) is g = 0? ______ (You can round to nearest half of a unit and enter multiple values separated by commas, if necessary).

Use the graph of g to answer the questions. Assume the domain of g is [-8,8]. a. g-example-1
User JamoBox
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Given the graph and knowing that the Domain of the "g" is:


Domain\colon\mleft[-8,8\mright]

You need to remember that the x-values are also called input values, and the y-values are also called output values.

a. Notice that you need to find:


g(8)

This is the corresponding output value for:


x=8

You can use the graph to find it by identifying the corresponding y-coordinate for the x-coordinate 8. See the picture below:

Therefore:


g(8)=4

b. Use the same procedure to find:


g\mleft(-4\mright)

Whose input value is:


x=-4_{}

See the picture below:

Hence:


g\mleft(-4\mright)=-2

c. Notice that you have this output value:


g\mleft(x\mright)=-0.1

You can identify in the graph that the approximate location of the point that has that y-coordinate is:

Where the red dots represent the points that have this y-coordinate:


y=-0.1

Therefore, three x-values have this output value:


g\mleft(x\mright)=-0.1

Notice that that point has

d. You can identify that the graph of "g" passes through the Origin:


(0,0)

And it intersects the x-axis at:


\begin{gathered} x=-2 \\ x=2 \end{gathered}

By definition, the value y-value is zero when the graph intersects the y-axis. Therefore, you can identify that the points that have y-coordinate 0 are:


(0,0),(-2,0),(2,0)

Hence, the answers are:

a.


g(8)=4

b.


g\mleft(-4\mright)=-2

c. For three values.

d.


\begin{gathered} x=0 \\ x=2 \\ x=-2 \end{gathered}

Use the graph of g to answer the questions. Assume the domain of g is [-8,8]. a. g-example-1
Use the graph of g to answer the questions. Assume the domain of g is [-8,8]. a. g-example-2
Use the graph of g to answer the questions. Assume the domain of g is [-8,8]. a. g-example-3
User Benjamin Oakes
by
8.4k points

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