Master How to determine the domain of a rational function

What is the domain of the function y = X^2?

• Numbers greater than zero

• Only negative numbers

• Only positive numbers

• All real numbers

Why can't negative numbers be part of the domain for y = sqrt(X)?

• Negative numbers are not integers

• Negative numbers are not real

• The function is only defined for positive numbers

• The square root of a negative number is not defined in real numbers

What is a common method to determine the domain of a rational function?

• Finding the range of the function

• Identifying values that make the denominator zero

• Calculating the derivative

• Graphing the function

For the function F(X) = 1/X, which value is not part of the domain?

• All real numbers

• -1

• 0

• 1

How can the domain of a function be expressed?

• Using set notation

• Using interval notation

• Using only verbal description

• Using both set and interval notation

What is the domain of the function H(X) = X - 2 / (X^2 - 8X + 7)?

• All real numbers except 7 and 1

• All real numbers except -7 and -1

• All real numbers

• Only positive numbers

Why is it important to consider the denominator when finding the domain of a rational function?

• The denominator can be zero, which is undefined

• The denominator affects the slope

• The denominator determines the range

• The denominator is always positive

What happens if the denominator of a rational function is zero?

• The function is undefined

• The function is zero

• The function is infinite

• The function is negative

In the function X^2 - 64, what values are excluded from the domain?

• 8 and -8

• All positive numbers

• 64 and -64

• 0 and 64

What is the domain of a function expressed as X such that X cannot equal 7 and 1?

• Only positive numbers

• All real numbers except 7 and 1

• All real numbers except -7 and -1

• All real numbers