How to write the domain of a rational function with a radical

The video tutorial explains how to determine where a function is not defined by identifying restrictions such as when the denominator is zero or when the radicand is negative for even roots. It also covers how to find the domain of a function by identifying the values where the function is defined.

What is the implied domain of a function?

• All values that make the radicand positive

• All values that make the numerator zero

• All values that provide a real number answer

• All values that make the function undefined

Which value makes the function undefined due to the denominator?

• X = 0

• X = 2

• X = 3

• X = -3

What happens when you plug X = 3 into the function?

• The function equals one

• The function is defined

• The function is undefined

• The function equals zero

What is the condition for the second restriction involving radicands?

• 4 - X^2 <= 0

• 4 - X^2 < 0

• 4 - X^2 > 0

• 4 - X^2 >= 0

For which range of X is the function defined according to the second restriction?

• X < -2 or X > 2

• -2 <= X <= 2

• X > 2

• X < -2

What is the domain of the function?

• X = 3

• Less than -2

• Greater than 2

• -2 to 2

Which value is not within the domain of the function?

• X = -1

• X = 3

• X = 0

• X = 1