Question

Need help with ap calc. Problem in comments

Answer 1

Can you choose more than one option?

Answer 2

No

Answer 3

A, D and E
A is true because both x^3 and x are odd functions, making the overall f an odd function.
B is not true because both x^3 and x have a value of 0 when x = 0.
C is not true because at only x = 0, x^3 has an inflexion point, not a maximum, and x has no stationary point anywhere.
D is true because derivative of x^3 is 3x^2 and 3x^2 = 0 when x = 0.
E is true because when x < 0, the derivative of x^3, 3x^2 will always be positive due to the square and when x > 0, the derivative of x will always be 1, which is bigger than 0.

Answer 4

So what do you think by best guess is?

Answer 5

You sure cannot select more than one? The question did state 'statements'

Answer 6

Nope I just tried it again all it does is move the dot every time

Answer 7

Try E then

Answer 8

let's think about all these.
A is not odd because the graph doesn't have symmetry about the origin
look at the graph:
You will get the same graph if you flip it upside down?

B is it discontinuous at x=0?
well consider the following:
is f(0) equal to the limit as x approaches 0?
if this answer is yes then it is continuous
if this answer is no then it is discontinuous

C. f has a relative max... refer to the picture drawn...

D. f'(0)=0? consider the left derivative and the right derivative
are they the same as x approaches 0?


E. f'(x)>0 when x not equal to 0
well f'(x)>0 for all x means the function is increasing
is the function increasing all the time (well you know except at x=0)?