Question

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

Explanation:

Step1: Evaluate \( g(7) \)

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 (output of the function) is 4. So, \( g(7)=4 \).

Step2: Evaluate \( g(0) \)

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

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

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

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

To find the \( x \)-value(s) for which \( g(x)=3 \), we look at the graph of \( y = g(x) \) and find the \( x \)-value(s) where the \( y \)-value is 3. From the graph, when \( y = 3 \), the corresponding \( x \)-value is 9. So, \( g(x)=3 \) when \( x = 9 \).

Answer:

\( g(7) = \boldsymbol{4} \)
\( g(0) = \boldsymbol{7} \)
\( g(-5) = \boldsymbol{5} \)
\( g(x) = 3 \) when \( x = \boldsymbol{9} \)