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  5. Chapter 8 Curve Sketching Ap Cumulative Review

Chapter 8 Curve sketching AP cumulative review

Authored by Vi Nguyen

Mathematics

12th Grade

CCSS covered

Used 3+ times

Chapter 8 Curve sketching AP cumulative review
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20 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

On what interval(s) is the function

y = x3 + 6x2

concave up?

(-∞,∞)

(-∞,-2)

(-2,∞)

(0,∞)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If (a,b) is a local maximum, then what will be true about f''(a)?

It's positive
It's negative
It's zero
Cannot be determined

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Use the sign chart for f'(x). There is(are) ...

a local maximum at x = -2.

a local minimum at

x = -2 and a local maximum at x = 4.

a local maximum at

x = -2 and a local minimum at x = 4.

no extrema.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the critical numbers of a function?

Critical numbers only occur when f'(x) = 0.

Critical numbers only occur when f'(x) is undefined.

Critical numbers occur when f'(x) = 0 or where f'(x) is undefined.

Critical numbers occur as x-intercepts on the graph.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Where is the point of infection for the function y = x3 + 6x2?

0

-4

-2

4

Tags

CCSS.HSF-IF.C.7C

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Let g(x) = (1/4)x4-4x3+24x2, for what values of x does the graph of g have points of inflection?

x = -3 
x = 0
x = 4
g has no points of inflection

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If (a,b) is a local maximum, then what will be true about f''(a)?

It's positive
It's negative
It's zero
Cannot be determined

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