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QUESTION IMAGE

use the graph of f(x) to complete the table. (graph of a piecewise func…

Question

use the graph of f(x) to complete the table.
(graph of a piecewise function with a table having x values -5, 2, 10 and corresponding f(x) values -3, blank, blank)

Explanation:

Step1: Find f(2) from graph

Locate $x=2$ on x-axis, move up to the graph, the corresponding y-value is 1.

Step2: Find f(10) from graph

First, confirm the right segment's slope: for $x\geq-4$, the line passes through $(0,0)$ and $(4,2)$, so slope $m=\frac{2-0}{4-0}=\frac{1}{2}$. The equation is $y=\frac{1}{2}x$. Substitute $x=10$: $y=\frac{1}{2}\times10=5$.

Answer:

$x$$f(x)$
21
105