Question

Consider the following graph of a piecewise-defined function.
Choose the correct expression to represent the piecewise-defined function.

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Answer 1

Answer:

Step-by-step explanation:

When x<-2, f(x)=5

When -2<x<3, f(x)=2x+2

When x>3, f(x)=-3

Answer 2

Answer:

Step-by-step explanation:

Given is a graph of piecewise function.

We are given a horizontal line for

$x<-2$

Hence $f(x) = 5, x<-2$  ... I

Whenever

$-2\leq x<3$, the graph is a line passing through (-2,-2) and (3,8)

Hence using two point equation we get

$\frac{y+2}{8+2} =\frac{x+2}{3+2}\\5(y+2)=10(x+2)\\y=2x+2$...II

Again for

$x>3\\y=-3$... III

I,II and III together give the piecewise funciton