Sam graphed a cube root function. What is the equation of the function Sam graphed?

Question

y=2\sqrt[3]{x-1}+3

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y=\sqrt[2]{x-1}+3

y=\sqrt[2]{x+1}-3

y=2\sqrt[2]{x+1}-3

Answer 1

The equation of the function Sam graphed is y=2\sqrt[3]{x-1}+3.

Answer 2

Select the description that corresponds to the graphed function

(1 point)

1. The domain of the function is the set of all real numbers and the range is the set of all non- negative real numbers.

2. The domain and range of the function are both the set of all non-negative real numbers

3. The domain of the function is the set of all non-negative real numbers and the range is the set of all real numbers.

4. The domain and range of the function are both the set of all real numbers

Answer 3

None of the options provided accurately describe the graph of the function. The correct description would be:

The domain of the function is the set of all real numbers, and the range is the set of all real numbers.

Answer 4

Compare the graphs of f(x) = √2+1-2 and g(x) = x+1-2 Identify which of the following features is true about the graphs.

(1 point)

1. The graphs have the same x-intercept

2. The graphs have the same y-intercept

3. The graphs have the same domains.

4. The graphs have the same ranges.

Answer 5

The correct answer is:

3. The graphs have the same domains.

The domain of both functions, f(x) and g(x), is the set of all real numbers since there are no restrictions on the input values.

Answer 6

Option #1

LESSON 7

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Cube Root Functions

Option #2

Option #3

COURSE OUTLINE

The functions have the same domain.

The functions have the same domain

The functions have different domains.

page 14 o

Option #4

Item 2

Item 3

The functions have different domains

The functions have the same range.

The functions have different ranges

The functions have the same range

The functions have different ranges

Item 4

COURSE TOOLS

Both functions are decreasing

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Both functions are decreasing

Both functions are increasing

Both functions are increasing

Item 5

Compare the graphs of f(z) = √4z and g(x)=4z Which of the options describing the graphs is true?

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4

(1 point)

Option #4

Option #2

Option #3

Option #1

Answer 7

The correct answer is Option #2: Both functions are increasing.

Answer 8

Option #1

LESSON 7

Back to Intro Page

Mark as Complete

Cube Root Functions

Option #2

Option #3

COURSE OUTLINE

The functions have the same domain.

The functions have the same domain

The functions have different domains.

page 14 o

Option #4

Item 2

Item 3

The functions have different domains

The functions have the same range.

The functions have different ranges

The functions have the same range

The functions have different ranges

Item 4

COURSE TOOLS

Both functions are decreasing

>

Both functions are decreasing

Both functions are increasing

Both functions are increasing

Item 5

Compare the graphs of f(z) = √4z and g(x)=4z Which of the options describing the graphs is true?

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(1 point)

Option #4

Option #2

Option #3

Option #1

Answer 9

The correct answer is Option #2: The functions have the same domain.

Answer 10

Option #1

LESSON 7

Back to Intro Page

Mark as Complete

Cube Root Functions

Option #2

Option #3

COURSE OUTLINE

The functions have the same domain.

The functions have the same domain

The functions have different domains.

page 14 o

Option #4

Item 2

Item 3

The functions have different domains

The functions have the same range.

The functions have different ranges

The functions have the same range

The functions have different ranges

Item 4

COURSE TOOLS

Both functions are decreasing

>

Both functions are decreasing

Both functions are increasing

Both functions are increasing

Item 5

Compare the graphs of f(z) = √4z and g(x)=4z Which of the options describing the graphs is true?

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4

(1 point)

Option #4

Option #2

Option #3

Option #1

Answer 11

The correct answer is Option #4.