Domain for Rational Functions Expressions

Identify the vertical asymptotes of the following function

• y=1

• y=0

• x=3

  x=-2

• x=2

  x=4

Identify the Horizontal asymptote of the function

• y=1

• y=2

• y=0

• y=4

What are the restrictions on the domain?

• x ≠ 3

• x ≠ -1

• x ≠ 3, -1

• x ≠ 3, 1

State the domain restrictions.

• x ≠ 3, -2, 6, -1

• x ≠ -1, 6

• x ≠ 3, -2

• No Domain Restrictions

Find the domain of the function. f(x)=\frac{x^3}{x+8}

• x cannot equal to 8

• x cannot equal to 0

• x cannot equal to -8

• All real numbers

Simplify

Simplify.

To find the domain of a rational function, you must.......

• .......set the denominator equal to zero, solve for the variable, then exclude those answers from the implied domain

• .......set the numerator equal to zero, solve for the variable, then exclude those answers from the implied domain

• .......simplify the expression by cancelling out the common factors

• .......use the 5-step method to factor, then exclude the factor(s) from the implied domain

The 3rd Learning Target of Section 7.1 is asking you to learn how to "Use ------ real-life problems.

When a rational function is written, it is understood that the real numbers that make the denominator zero are excluded from the final answer. This is the definition of --