Question

8 use the graph to evaluate the function below for specific inputs and outputs.
y = g(x)

g(x) = 6 when x =

g(x) = -2 when x =

Explanation:

Step1: Find x when g(x)=6

Look at the graph of \( y = g(x) \). We need to find the \( x \)-value where the \( y \)-value (output) is 6. From the graph, the peak with \( y = 6 \) occurs at \( x = -4 \) (since moving along the x-axis, the point with \( y = 6 \) is at \( x = -4 \)).

Step2: Find x when g(x)=-2

Now, find the \( x \)-value where \( y = -2 \). Looking at the graph, the valley with \( y = -2 \) is at \( x = 3 \) (checking the x-coordinate of the point where \( y = -2 \)).

Answer:

For \( g(x) = 6 \), \( x = -4 \); for \( g(x) = -2 \), \( x = 3 \)