Question

the function ( f(x) ) is represented below as a graph. use ( f(x) ) to answer the following questions
evaluate ( f(2) : ) ( f(2) = ) blank 1
determine ( x ) when ( f(x) = -5 ) ( x = ) blank 2
blank # 1
blank # 2

Explanation:

For Blank 1 (Evaluate \( f(2) \)):

Step1: Locate \( x = 2 \) on x - axis

Find the point on the graph where the x - coordinate is 2.

Step2: Find corresponding y - value

From the graph, when \( x = 2 \), we look at the vertical line \( x = 2 \) and find its intersection with the graph of \( f(x) \). The y - coordinate of this intersection point is 5. So \( f(2)=5 \).

For Blank 2 (Determine \( x \) when \( f(x)= - 5 \)):

Step1: Locate \( y=-5 \) on y - axis

Find the point on the graph where the y - coordinate is - 5.

Step2: Find corresponding x - value

From the graph, when \( y = - 5 \) (i.e., \( f(x)=-5 \)), we look at the horizontal line \( y = - 5 \) and find its intersection with the graph of \( f(x) \). The x - coordinate of this intersection point is - 3. So \( x=-3 \).

Answer:

Blank #1: 5
Blank #2: -3