Question

What can you say about the end behavior of the function ?
f(x) = -4x^6+6x^2-52
A. The leading coefficient is positive so the left end of the graph goes up.
B. f(x) is even so both ends of the graph go in the same direction.
C. f(x) is even so both ends of the graph go in opposite directions.
D. The leading coefficient is positive so the left end of the graph goes down.

Answer 1

It's multiple choice but i'm only getting B

Answer 2

your answer is correct :)

Answer 3

There are no other answers?

Answer 4

The leading coefficient is -4.

Is that positive or negative?

Answer 5

Negative, thank you!

Answer 6

Which means it can't be A or D. And if both ends go in the same direction, it isn't possible for it to have both legs going in opposite directions.

Also, the way to check if a function is even/odd is by plugging in -x in place of x

If f(x) = f(-x), the function is even
If f(x) = -f(x), the function is odd
If it isn't either of those, the function is neither even nor odd.

Answer 7

@TheSmartOne would you be able to help me with another question?

Answer 8

Sure :)

Answer 9

@TheSmartOne

Answer 10

Any ideas?

You're multiplying f(x) by 2 to get f(x), mhmm

Answer 11

I think it's D because when I graph it it looks like it stretches but i'm not one hundred percent sure

Answer 12

Is it D?

Answer 13

Correct :)

Answer 14

Ok thank you!

Answer 15

Anytime! :)

Answer 16

@TheSmartOne Sorry to ask for your help, I just need to get all the answers correctly. Is this correct?

Answer 17

C is correct, but there aren't any asymptotes

take a look at this graph: https://www.desmos.com/calculator/h7u1prnwib

Answer 18

Ok, so they are logarithmic functions?

Answer 19

yes, the answer is C and D :)

Answer 20

@TheSmartOne sorry last one. Is this correct?

Answer 21

correct :)

Answer 22

Thank you so much! :D

Answer 23

Anytime! :D