2023 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 continuous but not differentiable.

(ii) Find the value(s) of

x

where

f'(x) = 0

and

f''(x) < 0

are both true.

(iii) What is the value of

\lim_{x \to 6} f(x)

?

State clearly if the value does not exist.

Official Answer

x=8

(ii)

x=-4

(iii)
The limit does not exist.

Grading Criteria

Achievement (u)

$2$ out of $3$ correct responses.

Merit (r)

-

Excellence T1

-

Excellence T2

-

Video Explanation

2023 NCEA L3 Calculus Exam Walkthrough by infinityplusone(starts at 52:52)

Exam Paper (2023)Assessment Schedule (2023)

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