Piecewise Question

Question

Hi All, having trouble with a piecewise function question.

{x^2+9 IF X< 9),

((13x+9)^2 IF 9 ≤ x ≤ 13),

(21x^2+30x+30 IF 13 < x < 21),

(30x-30 IF x ≥ 21)}

Here are the inputs:

f(18)

f(32)

f(6)

f(22)

I did the first line as that makes sense to me:

6 < 9

f(6) = 6^2 + 9

f(6) = 36 + 9

f(6) = 45

I just don't know how the others one fit logically or if this is a trick question.

Thank you!

Answer 1

I'm not sure what your question is.

13 < 18 < 21

f(18) = 21(18)2 + 30(18) + 30

f(18) = 21(324) + 540 + 30

f(18) = 6741 + 570

f(18) = 7311

I bet you can get the rest.