Question

7 use the graph to evaluate the function below for specific inputs and outputs. y 9 8 y = g(x) 7 6 5 4 3 2 1 -9 8 7 6 5 4 3 2 -1 1 2 3 4 5 6 7 8 9 x -2 -3 -4 -5 -6 -7 -8 -9 g(7) = \square g(0) = \square g(-5) = \square g(x) = 3 when x = \square

Explanation:

Step1: Find \( g(7) \)

To find \( g(7) \), we look at the graph of \( y = g(x) \) and find the \( y \)-value when \( x = 7 \). From the graph, when \( x = 7 \), the corresponding \( y \)-value (which is \( g(7) \)) is 4.

Step2: Find \( g(0) \)

To find \( g(0) \), we look at the graph and find the \( y \)-value when \( x = 0 \). From the graph, when \( x = 0 \), the corresponding \( y \)-value (which is \( g(0) \)) is 7.

Step3: Find \( g(-5) \)

To find \( g(-5) \), we look at the graph and find the \( y \)-value when \( x = -5 \). From the graph, when \( x = -5 \), the corresponding \( y \)-value (which is \( g(-5) \)) is 5.

Step4: Find \( x \) when \( g(x) = 3 \)

To find \( x \) when \( g(x) = 3 \), we look at the graph and find the \( x \)-value(s) where the \( y \)-value is 3. From the graph, when \( y = 3 \), the corresponding \( x \)-value is 8 (we check the graph and see that at \( x = 8 \), \( g(8)=3 \)).

Answer:

\( g(7) = \boxed{4} \)
\( g(0) = \boxed{7} \)
\( g(-5) = \boxed{5} \)
\( g(x) = 3 \) when \( x = \boxed{8} \) (Note: Depending on the graph's exact details, there might be other solutions, but from the given graph, the visible solution for \( g(x)=3 \) is at \( x = 8 \))