Exploring Rational Functions and Their Operations

What is the first step in writing a rational equation from a graph?

• Identify the x-intercept

• Identify the y-intercept

• Identify the asymptotes

• Identify the slope

If the vertical asymptote is at x = 2, what is the denominator of the rational equation?

• x / 2

• 2x

• x - 2

• x + 2

How do you determine the value of 'a' in the rational equation?

• By finding the slope

• By using the x-intercept

• By using the y-intercept

• By plugging in a coordinate point

What should you do after forming the rational equation to ensure its accuracy?

• Find another coordinate point

• Recalculate the asymptotes

• Check the equation in a graphing tool

• Change the value of 'a'

In the practice example, what is the vertical asymptote if it is at x = 0?

• x + 0

• 0

• x - 0

• x

When given characteristics of a graph, what is the first step in writing the rational equation?

• Identify the vertical asymptote

• Identify the horizontal asymptote

• Find the y-intercept

• Draw the graph

If the vertical asymptote is at x = -1, what is the factor in the denominator?

• x

• 1 - x

• x + 1

• x - 1

What is the horizontal asymptote if it is at y = 0?

• y = 1

• y = -1

• y = 0

• y = 2

In the final example, what is the horizontal asymptote if it is at y = 3?

• y = -1

• y = -3

• y = 3

• y = 0

What is the final step after writing the rational equation?

• Recalculate the asymptotes

• Find another coordinate point

• Change the value of 'a'

• Verify the equation with the graph