Understanding Function Values and Limits

Understanding Function Values and Limits

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7D, HSF.IF.A.2, HSF-IF.C.7B

+1

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7D
,
CCSS.HSF.IF.A.2
,
CCSS.HSF-IF.C.7B
CCSS.HSF-IF.C.7E
,
The video tutorial explains how to evaluate the function value F(4) using a graph, identifying that F(4) equals 7 due to a plotted point. It then explores various limits: the one-sided limits as X approaches 1 from the right and left, showing different function values, and concludes that the overall limit as X approaches 1 does not exist. Finally, it evaluates the limit as X approaches 4, determining it exists and equals 5.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the function value of f(x) when x = 4?

3

9

5

7

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of a hole in the graph at x = 4?

It means the function value is 7

It suggests the limit does not exist

It shows the function is undefined at that point

It indicates the function value is zero

Tags

CCSS.HSF-IF.C.7B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the function value of f(x) when x = 4, despite the hole in the graph?

9

7

5

3

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When approaching x = 1 from the right, what value does the function approach?

4

3

2

1

Tags

CCSS.HSF.IF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the function value of f(x) when x = 1?

3

4

2

1

Tags

CCSS.HSF.IF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a one-sided limit from the right indicate?

The average of the function values from both sides

The behavior of the function as it approaches from the right

The behavior of the function as it approaches from the left

The function value at that point

Tags

CCSS.HSF.IF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When approaching x = 1 from the left, what value does the function approach?

1

4

3

2

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