Question

Help Functions
See Attachment

Answer 1

I need help with the second part of Graph A

Answer 2

Looks like you just put the wrong inequalities. You reversed which ones you're supposed to do. f(x) < 0 means the function is LESS than 0. f(x) > 0 means the function is GREATER than zero. Not only that, since the question used < >, you dont want to be using
\[\le or \ge \]

Answer 3

so would it be x>4 and x<-4 ?

Answer 4

Well you still want to use 0 and 4 like you were. Its just if f(x) < 0, the function is LESS than 0. And since < was originally used, you use the same symbol. So for that interval, it'd be -4 < x < 0

Answer 5

I put that in and it said it was wrong...

Answer 6

Ah, I see the mistake.
\[-4\le x < 0\]
Yeah, need to include the -4, my apologies. That would be the one for f(x) < 0

Answer 7

I tried putting that in for f(x) < 0 and it said incorrect....

Answer 8

Okay, yeah, im being an idiot x_x I see the problem, but its whether or not you trust me to explain.

Answer 9

no problem, go ahead

Answer 10

Alright. I'm immediately thinking intervals, which are usually given in terms of x. But since it says f(x) less than 0, I needed to realize it was speaking of y values. So the answers you have on the screenshot appear to be correct except for the fact you cannot include 0, so you must use < sign for 0 on those intervals.
f(x) < 0
\[0< x \le 4 \]Because this is where the graph is below the x-axis
f(x) > 0
\[-4 \le x < 0 \]
Since this is where the graph is above the x-axis. So yeah, just needed to use regular < and > for the 0 part.

Answer 11

okay, thank you @Psymon