Extrema

Extrema

11th - 12th Grade

7 Qs

quiz-placeholder

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Extrema

Extrema

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
HSF.IF.B.4, HSA.APR.B.3, HSF-IF.C.7D

+1

Standards-aligned

Created by

Dan Schwanekamp

Used 52+ times

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Media Image

x = -1

x = 0

x=1

x = 2

x=3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Over what interval(s) is f(x) increasing? (Be careful this is a graph of f'!)

(-∞, -3) ∪ (1, ∞)
(-3, 1)
(-5, 0) ∪ (2, ∞)
(-5, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

At what x-value(s) does f(x) have a minimum?  (Be careful this is a graph of f'!)

x = -3
x = 1
x = 5
x = -3 and x = 5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

4.

MULTIPLE SELECT QUESTION

45 sec • 5 pts

Media Image

You created a sign chart as shown. At which x values is there a possible absolute maximum? (select all that apply)

-1

0

3

5

7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

You create a sign chart as shown. How many extrema are there total?

0

1

2

3

4

Tags

CCSS.HSA.APR.B.3

6.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Given f'(x), what x values could be critical numbers? (select all that apply)

 f(x)=3xx2f'\left(x\right)=\frac{3x}{x-2}  

0

1

2

3

4

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Lef f be a function and let  f(x)=x2(x2)(x+3)f'\left(x\right)=x^2\left(x-2\right)\left(x+3\right)  At how many points does the graph of f have a relative maxmimum OR minimum?

0

1

2

3

Tags

CCSS.HSA.APR.B.3