Question

The function graphed below is a cubic function. f(a)=-f(2). Which of the following could be the value of a?

a) -2
b) -1/2
c) 0
d) 1/2
e) 2

Thank you for your time!!!

Answer 1

Where is the graph?

Answer 2

Here it is! :)

Answer 3

Hint: From the graph, \(f(2)=0\).

Answer 4

Hmm, would that be because when you plug in the 2, it turns into -2, which is (0,-2) where the line passes though?

Answer 5

Wait. I did something wrong again lol. \(f(2)=-4\) I am very sorry.

Answer 6

its 0

Answer 7

Ooooh! I see it now! Thank you very much!!! :)

Answer 8

What's your answer then?

Answer 9

Well if you plug in f(0) that equals -2, so it should be 0 then, right?

Answer 10

From the graph, \(f(2)=-4\) so \(f(a)=-(-4)=4\). To find the value(s) of \(a\), draw a line at \(y=4\) and check the x-coordinate of each intersection of the \(y=4\) line and \(f(x)\). I think the answer would be \(a=\dfrac{1}{2}\). There are other intersections but they are not options so we ignore them.

Answer 11

Wow, that's way more complicated than I thought haha XD Thanks a lot for the explanation! I'll work it out with those pointers and I'll check if it's 1/2 or something else! Thanks a lot!