Understanding Parameters in Radical Functions

Understanding Parameters in Radical Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explores the domain and range of radical functions, focusing on square roots. It explains how the parameter 'a' affects the function's vertical stretch, direction, and range. The domain is determined by the values under the square root, which must be non-negative. The parameters 'H' and 'K' shift the function horizontally and vertically, respectively, influencing the domain and range.

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus when analyzing the domain and range of radical functions?

The behavior of the function as X approaches infinity

The effect of imaginary numbers

The inclusion of square roots as the parent function

The impact of odd roots

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the parameter 'a' affect a radical function when it is between 0 and 1?

It has no effect

It stretches the function horizontally

It makes the function go up slower

It flips the function over

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the range of a radical function if 'a' is negative?

The range increases

The range decreases

The range becomes undefined

The range remains constant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the parameter 'a' do if it is greater than 1?

It has no effect

It flips the function over

It makes the function go up slower

It stretches the function vertically faster

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the range if 'a' is positive?

The range increases

The range remains constant

The range becomes undefined

The range decreases

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of 'a' being negative on the function?

It flips the function over

It makes the function go up faster

It stretches the function horizontally

It has no effect

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does 'a' do if it is between 0 and 1?

It flips the function over

It has no effect

It stretches the function vertically faster

It makes the function go up slower

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