2019 THREE(b)

Achievement
Question
The graph below shows the function y=f(x)y = f(x).
Loading diagram...
(i) Find all the value(s) of xx which meet each of the following conditions:

1. f′(x)=0f'(x) = 0:

2. f(x)f(x) is not differentiable:

(ii) What is the value of lim⁡x→1f(x)\lim_{x \to 1} f(x)?

State clearly if the value does not exist.
Official Answer
1. x=2x = 2, x>4x > 4
2. x=−2,1,4x = -2, 1, 4
Does not exist.
Grading Criteria

Achievement (u)

  • Two correct solutions i.e. TWO of (i) 1, (i) 2 and (ii).

Merit (r)

-

Excellence T1

-

Excellence T2

-
Video Explanation
NCEA Level 3 Calculus Differentiation 2019 NZQA Exam - Worked Answers by infinityplusone(starts at 47:23)
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Exam Paper (2019)Assessment Schedule (2019)
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