Question

PLZ HELP WILL GIVE BRAINLIEST 50+25 POINTS!!!Graph the following piecewise function.

Answer 1

We need to graph the given piecewise function.

To graph any piecewise function we do that into parts

Let's graph upper part first which is

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

restriction for that is $-5 \leq x < 3$

that means we are free to pick any number for x that is between -5 and 3, including 3.

So we will find few points by plugging random numbers between -5 and 3.

Let's use x=-5, we get:

$f(-5)=(-5)^2+2=25+2=27$

so first point is (-5,27).

similarly we can find other points like (0,2), (2,6), (-1,3) etc.

Now we join those points by a curved line.

$-5 \leq x$ means we use a close circle at -5

x<3 means use open circle at 3

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Repeat same process for 2nd part f(x)=x-4

choose any number between 3 and 7 like x=3, 4 etc

so we get points (3,-1), (4,0) etc

Now graph them

So the final graph will look like:

Answer 2

Answer:

see plot below

Step-by-step explanation: