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Analyzing and sketching a graph

Authored by Venkata Rachakulla

Mathematics

12th Grade

CCSS covered

Used 1+ times

Analyzing and sketching a graph
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15 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

The graph shown is the DERIVATIVE of f. From the derivative's graph, identify the interval graph where f (the original function) is concave up.

(-1,1) & (3,4)
(-3,-2)
(-2,-1)
(-3,-1) & (1,3)

2.

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

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The concavity of a function is described by its _______________.

first derivative
second derivative
third derivative
expression

4.

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

5.

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

6.

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

7.

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)

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