Question

The graph of f ′′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?

The graph of f has a relative maximum at x = 0.
The graph of f has a relative minimum at x = 0.
The graph of f has an inflection point at x = 0.
The graph of f has an x-intercept at x = 0.

Answer 1

@ganeshie8

Answer 2

@Conqueror

Answer 3

@IrishBoy123

Answer 4

Hi :) is this kind of math familiar to u?

Answer 5

none of them are strictly true, IMHO

but get a second opinion, i'm crap at maths

Answer 6

I know
y= -x^3 would give
y' = -3x^2
y'' = -6x
if we plot y= -6x, it "is continuous and decreasing with an x-intercept at x = 0"
and in this case, x=0 is an inflection point.