2017 THREE(c)

Merit
Question
The graph below shows the function y=f(x)y = f(x).
Loading diagram...
For the function above:
(i) Find the value(s) of xx that meet the following conditions:
(1) f(x)=0f'(x) = 0:
(2) f(x)f(x) is continuous but not differentiable:
(3) f(x)f(x) is not continuous:
(4) f(x)<0f''(x) < 0:

(ii) What is the value of limx1f(x)\lim_{x \to -1} f(x)?
State clearly if the value does not exist.
Official Answer
(i) 1. x<2, x=2x<-2,\ x=2
2. 2, 1-2,\ 1
3. 1, 0-1,\ 0
4. x>1x>1
(ii) 22
Grading Criteria

Achievement (u)

  • 22 correct answers.

Merit (r)

  • 33 correct answers.

Excellence T1

-

Excellence T2

-
Video Explanation
NCEA Level 3 Calculus Differentiation 2017 NZQA Exam - Worked Answers by infinityplusone(starts at 52:38)
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