Question

evaluating functions
given the graph of $f(x)$, find each of the following:

function notation	answer	result
$f(0) =$
$f(2) =$
$f(5) =$

Explanation:

Step1: Find \( f(-4) \)

To find \( f(-4) \), we look at the graph of \( f(x) \) and find the \( y \)-value when \( x = -4 \). From the graph, when \( x = -4 \), the corresponding \( y \)-value (the height of the graph at \( x = -4 \)) is 3. So \( f(-4) = 3 \).

Step2: Find \( f(0) \)

To find \( f(0) \), we look at the graph of \( f(x) \) and find the \( y \)-value when \( x = 0 \). From the graph, when \( x = 0 \), the corresponding \( y \)-value is 0 (since the graph passes through the origin \((0,0)\)). So \( f(0) = 0 \).

Step3: Find \( f(2) \)

To find \( f(2) \), we look at the graph of \( f(x) \) and find the \( y \)-value when \( x = 2 \). From the graph, when \( x = 2 \), the corresponding \( y \)-value is -2 (since the graph is at \( y = -2 \) when \( x = 2 \)). So \( f(2) = -2 \).

Step4: Find \( f(5) \)

To find \( f(5) \), we look at the graph of \( f(x) \) and find the \( y \)-value when \( x = 5 \). From the graph, when \( x = 5 \), the corresponding \( y \)-value is -1 (since the graph is at \( y = -1 \) when \( x = 5 \)). So \( f(5) = -1 \).

Answer:

Function Notation	Answer	Result
\( f(0) = \)	0
\( f(2) = \)	-2
\( f(5) = \)	-1