Question

Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function?
Determine whether –x2 – (–x) + 8 is equivalent to x2 – x + 8.
Determine whether (–x)2 – (–x) + 8 is equivalent to x2 – x + 8.
Determine whether –x2 – (–x) + 8 is equivalent to –(x2 – x + 8).
Determine whether (–x)2 – (–x) + 8 is equivalent to –(x2 – x + 8).

Answer 1

for an even function

f(x) = f(-x)

Answer 2

which of the above options replaces every x in f(x) by -x?

Answer 3

(–x)2 – (–x) + 8

Answer 4

right - and then compares it with x^2 - x + 8?

Answer 5

Would that be the second answer?
Determine whether (–x)2 – (–x) + 8 is equivalent to x2 – x + 8.

Answer 6

yes

Answer 7

thank you

Answer 8

yw

Answer 9

if i wanted to find an odd, would it be in reverse?

Answer 10

for an odd function

f(-x) = -f(x)
- the last option tests for this

Answer 11

Okay, so could I use: 9 – 4(–x)2 is equivalent to –(9 – 4x2) for an odd function?

Answer 12

yes

Answer 13

Okay, thank you so much!

Answer 14

yw