Question

URGENT SOMEONE PLEASE HELP NEED DONE BY TODAYY!!!

Answer 1

Answer:

Part 1) $f(x)=5$

Part 2) $f(x)=2x+2$

Part 3) $f(x)=-3$

Step-by-step explanation:

Find the piece-wise defined function in each interval

step 1

For $x$ ----> the number -2 is not included

$f(x)=5$

step 2

For $-2\leq x$

Find the equation of the line

Let

$A(-2,-2),B(0,2)$

the slope is equal to

$m=\frac{2+2}{0+2}=\frac{4}{2}=2$

with the slope m and the point B find the equation of the line

Remember that the equation of the line into slope intercept form is equal to

$y=mx+b$

we have

$m=2$

$b=2$ -----> the point B is the y-intercept

substitute

$f(x)=2x+2$

step 3

For $x\geq3$

$f(x)=-3$

therefore

1) For x<-2

The value of f(x) is

$f(x)=5$

2) For -2< x <3

The value of f(x) is

$f(x)=2x+2$

3) For x>3

The value of f(x) is

$f(x)=-3$