2022 THREE(b)

Achievement

Question

The graph below shows the function

y = f(x)

Loading diagram...

For the function above:
(i) Find the value(s) of

x

where

f(x)

is not differentiable.

(ii) Find the value(s) of

x

for which

f'(x) = 0

.

(iii) What is the value of

\lim\limits_{x \to -4} f(x)

?
(State clearly if the value does not exist.)

Official Answer

x=-4,-1,1

(ii)

x=-3,\,x>1

(iii)

3

Grading Criteria

Video Explanation

2022 NCEA L3 Calculus Exam Walkthrough by infinityplusone(starts at 53:43)

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