Understanding the Function f(x) = √(2 - x)

Understanding the Function f(x) = √(2 - x)

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial by C chamber Jacob explains how to find the domain and range of the function f(x) = √(2 - x). The domain is determined by ensuring the expression under the square root is non-negative, resulting in x being less than or equal to 2. The range is found by evaluating the smallest value of the function, which is zero, and determining that f(x) is greater than or equal to zero. The video concludes with a prompt to watch the next video for further learning.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the function given in the video?

f(x) = √(2 - x)

f(x) = 2x - √x

f(x) = √(x - 2)

f(x) = x² - 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the domain of the function f(x) = √(2 - x)?

By setting 2 - x = 0

By setting 2 - x > 0

By setting x = 0

By setting x > 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't x be greater than 2 in the domain of f(x) = √(2 - x)?

Because it results in a positive number

Because it results in a negative number

Because it results in zero

Because it results in an imaginary number

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the function f(x) = √(2 - x) in interval notation?

(-∞, 2)

[2, ∞)

[0, 2]

(-∞, 2]

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the smallest value of f(x) = √(2 - x) when x is in its domain?

1

-1

0

2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the function f(x) = √(2 - x)?

(-∞, 2]

[0, ∞)

(-∞, 0]

[0, 2]

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If x = 1, what is the value of f(x) = √(2 - x)?

√2

1

0

2

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