First and Second Derivative Applications

First and Second Derivative Applications

10th - 12th Grade

12 Qs

quiz-placeholder

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First and Second Derivative Applications

First and Second Derivative Applications

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Hard

CCSS
HSF.IF.B.4, HSA.REI.D.10, HSA.APR.B.3

+1

Standards-aligned

Created by

Donald York

Used 121+ times

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

On which of the following intervals is f increasing?

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2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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For which value of x is f ' positive and increasing?

a

b

c

d

e

Tags

CCSS.HSA.REI.D.10

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which of the following statements must be true?

I. f has a relative Min at x=-3.

II. The graph of f has a point of inflection at x=2.

III. The graph of f is concave down for 0 < x < 4.

I only

II only

III only

I and II only

I and III only

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

f has a local Max at x = ?

-2.314

-1.332

0.350

0.829

1.234

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The function f has a local Max at x = ?

-3

-1

1

3

4

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What are all intervals on which the graph of f is concave down?

-1 < x < 1

0 < x < 2

1 < x < 3 ONLY

-2 < x < -1 ONLY

-2 < x < -1 AND 1 < x < 3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Let f be a polynomial function with values of f '(x) at selected values of x given in the table. Which of the following must be true for -2 < x < 6 ?

The graph of f is concave up

The graph of f has at least two points of inflection

f is increasing

f has no critical points

f has at least two relative extrema

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