Finding X and Y Intercepts of Rational Functions

What is the condition for an X-intercept in a rational function?

• X equals 0

• Y equals 0

• X equals 1

• Y equals 1

What should you do first when finding X-intercepts in a rational function?

• Add 1 to both sides

• Divide the denominator

• Multiply the numerator

• Set restrictions

In the example problem, what is the X-intercept for the function after setting restrictions and simplifying?

• X = 7

• X = 3

• X = -7

• X = -3

What is the condition for a Y-intercept in a rational function?

• Y equals 1

• X equals 1

• Y equals 0

• X equals 0

How do you find the Y-intercept for a rational function?

• Set Y to 1

• Set X to 0

• Set Y to 0

• Set X to 1

What is the Y-intercept for the function in the second example problem?

• 0, -1

• 0, 2

• 0, 1

• 0, 3

What is the first step in graphing a rational function?

• Multiply the numerator

• Find the Y-intercept

• Set restrictions

• Find the horizontal asymptote

How do you determine the horizontal asymptote of a rational function?

• Set X to 0

• Compare the degrees of the numerator and denominator

• Multiply the numerator

• Set Y to 0

What is the simplified form of the function in the second example problem after setting restrictions?

• X - 2

• X - 1

• X + 1

• X + 2

What is the purpose of using the standard form when writing equations for rational functions?

• To find the Y-intercept

• To find the X-intercept

• To easily see vertical and horizontal asymptotes

• To multiply the numerator