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4.6 QUIZ Calculus

Authored by Tywania Griffin

Mathematics

10th - 12th Grade

CCSS covered

4.6 QUIZ Calculus
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f '(3) = 0 and f"(3) < 0, then which of the following must be true?

There is a local max at x=3
There is a local min at x = 3
There is an inflection point at x = 3
There is an x-intercept at x = 3

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The concavity of a function is described by its _______________.

first derivative
second derivative
third derivative
expression

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3.

increasing
decreasing
concave up
concave down

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.

increasing
decreasing
concave up
concave down

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If a function's FIRST derivative is negative at a certain point, what does that tell you?

The function is increasing at that point
The function is decreasing at that point
The concavity of the function is up at that point
The concavity of the function is down at that point

Tags

CCSS.HSF.IF.B.4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the intervals of the graph increasing for f(x) = 2x4- 4x2 + 1

(-1,0)

(0,1)

(-∞,-1) and (0,1)

(1,∞) and (-1,0)

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f''(x)>0 over the interval (-7,1), then what will be true about f'(x)?

It's constant
It's increasing
It's decreasing
Cannot be determined

Tags

CCSS.HSF.IF.B.4

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