Limits of Composite Functions

Limits of Composite Functions

11th Grade - University

10 Qs

quiz-placeholder

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Limits of Composite Functions

Limits of Composite Functions

Assessment

Quiz

Mathematics

11th Grade - University

Medium

CCSS
HSF-BF.A.1C, HSF-BF.A.1B, HSA.REI.C.6

+4

Standards-aligned

Created by

Jessica Stewart

Used 39+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following is true?

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find  g(f(2))g\left(f\left(2\right)\right)  

-4

-2

0

4

Tags

CCSS.HSF-BF.A.1C

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find  f(g(4))f\left(g\left(4\right)\right)  

1

-2

-3

-4

Tags

CCSS.HSF-BF.A.1C

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

0

1

2

3

DNE

Answer explanation

Because the limit as x approaches 2 of g(x) does not exist (the left approaches -inf while the right approaches +inf) then the composite function cannot exist.

Tags

CCSS.HSF-BF.A.1C

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

0

-1

1

3

DNE

Answer explanation

Since g(x) is not continuous at x= -1 we cannot make a formal conclusion about the value of the limit.

Tags

CCSS.HSF-BF.A.1C

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

4

-3

-12

2

DNE

Answer explanation

Since the limit of the inside function DNE then the composite function DNE

Tags

CCSS.HSF-BF.A.1B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

0

-1

1

3

DNE

Tags

CCSS.HSF-BF.A.1C

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