Question

The function f is defined on the domain [-4,4] by

Answer 1

\(f(x)=x+5,-4\le~x\le-2\)

Answer 2

\(f(x)=x^{2}+2,-2<x\le2\)

Answer 3

and \(f(x)=-x+7,2<~x\le4\)

Answer 4

Sketch the graph of f.

Answer 5

@kittybasil

Answer 6

The latex is not working properly. I cannot understand your question :-|

Answer 7

but i can c d latex... xD

Answer 8

sometimes it takes time to load @aravindg

Answer 9

Let's graph each thing piece by piece

this is f(x) = x + 5
for −4 ≤ x ≤ −2
notice how because there are "or equal to" things, the end point dots are fully black

Answer 10

now let's graph
f(x) = x^2 + 2
for -2 < x ≤ 2

now notice how it is an open dot at (-2, 6)
I also included the points I used to reference what this graph looks like

Answer 11

and lastly, the graph of
f(x) = -x + 7
for 2 < x ≤ 4

same idea

Answer 12

@MARC If you got confused on any part of this, feel free to ask ^_^
I'm sorry for replying so late (which is why I tried including all the necessary steps)

here is a fun fact
- because of the way they limited the domains of each function, this graph as a whole DOES pass the vertical line test :)

Answer 13

Thanks for the explanation.Really helps me a lot. @Angle ^_^

Answer 14

To anyone who says they can't see the LaTeX: