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I need help with the second part of Graph A
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 \[\le or \ge \]
so would it be x>4 and x<-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
I put that in and it said it was wrong...
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
I tried putting that in for f(x) < 0 and it said incorrect....
Okay, yeah, im being an idiot x_x I see the problem, but its whether or not you trust me to explain.
no problem, go ahead
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.
okay, thank you @Psymon