How to find the inverse of a linear equation domain and range

How to find the inverse of a linear equation domain and range

Assessment

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Mathematics

11th Grade - University

Hard

5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the inverse of a function?

Replace the function notation with 'Y'

Swap the variables X and Y

Solve for Y

Find the domain

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to swap the variables X and Y when finding an inverse?

To practice the process

To find the domain

To simplify the equation

To find the range

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the restrictions to consider when determining the domain of a function?

The function must be increasing

You cannot divide by zero or take the square root of a negative number

The function must be differentiable

The function must be continuous

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you eliminate a fraction when solving for the inverse of a function?

Multiply by the reciprocal

Divide by the reciprocal

Add the same number to both sides

Subtract the same number from both sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the range of a function and the domain of its inverse?

They are the same

The range of the function is the domain of its inverse

They are unrelated

The domain of the function is the range of its inverse