tmua.fyi Paper 2 Challenge 2 · Question 11

The diagram shows a sketch of $y=f'(x)$ , the derivative of a function $f$ defined for all real $x$ . The curve meets the $x$ -axis at $x=-2$ and $x=1$ , and touches it at $x=3$ . Which statement about $f$ is true?

f

has a local minimum at

x=-2

and a local maximum at

x=1

f

has exactly two stationary points.

f

has a local maximum at

x=1

and a local minimum at

x=-2

f

has a local maximum at

x=-2

, a local minimum at

x=1

, and a stationary point of inflection at

x=3

f

is decreasing for

x>3

f

has a local maximum at

x=3

f

has a local minimum at

x=3

f

is increasing for

-2<x<1

examday

tmua.fyi Paper 2 Challenge 2 · Q11