2018 TWO(c)

Merit

Question

The diagram below shows the graph of the function

y = f(x)

.

Loading diagram...

For the function above:

(i) What is the value of

f(1)

?
State clearly if the value does not exist.

(ii) For what value(s) of

x

does the function

f(x)

not have a limit?

(iii) Find all the value(s) of

x

that meet the following conditions:

(1)

f'(x) > 0

:

(2)

f'(x) = 0

and

f''(x) < 0

:

(3)

f(x)

is continuous but not differentiable:

Official Answer

5

(ii)

-3,\ 1

(iii)
(1)

1<x<3

or

x>7

(2)

3

(3)

7

Grading Criteria

Achievement (u)

TWO out of five answers correct.

Merit (r)

THREE out of five answers correct.

Excellence T1

-

Excellence T2

-

Video Explanation

NCEA Level 3 Calculus Differentiation 2018 NZQA Exam - Worked Answers by infinityplusone(starts at 23:13)

Exam Paper (2018)Assessment Schedule (2018)

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