Question

1. the graph of a function ( y = f(x) ) is shown.

a. find ( f(-1) ).
b. for which value(s) of ( x ) is ( f(x) = 6 )?

Explanation:

Step1: Find \( f(-1) \)

To find \( f(-1) \), we look at the value of \( y \) when \( x = -1 \) on the graph of \( y = f(x) \). When \( x=-1 \), from the graph, \( y = 1 \). So \( f(-1)=1 \).

Step2: Find \( x \) when \( f(x) = 6 \)

To find the value(s) of \( x \) for which \( f(x)=6 \), we look for the \( x - \)coordinate(s) of the point(s) on the graph where \( y = 6 \). From the graph, when \( y = 6 \), \( x=16 \).

Answer:

a. \( f(-1)=1 \)
b. \( x = 16 \)