NCEA Calculus 2016 TWO(c - Solution & Explanation

Question

The graph below shows the function

y = f(x)

.

Loading diagram...

For the function

y = f(x)

above:

(i) Find the value(s) of

x

that meet the following conditions:

1.

f

is not continuous:

2.

f

is not differentiable:

3.

f'(x) = 0

:

4.

f''(x) < 0

:

(ii) What is the value of

\lim_{x\to-1} f(x)

?
State clearly if the value of the limit does not exist.

Official Answer

1:

-1, 1

2:

-2, -1, 1, 4

3:

-4, 3, x > 4

4:

1 < x < 4

(ii)

1

Grading Criteria

-

-

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2016 TWO(c)