Matching Rational Functions to Their Graphs

What color represents function f in the graph?

• Green

• Dotted Purple

• Blue

• Magenta

At which value of x does function f have a vertical asymptote?

• x = 0

• x = 2

• x = 5

• x = -5

Which function's expression becomes undefined at x = -5?

• None of the above

• Function g

• Function f

• Function h

What is the horizontal asymptote of function f as x approaches infinity?

• y = 2

• y = 0

• y = -2

• y = 1

Which functions have a vertical asymptote at x = 5?

• Function h and f

• All functions

• Function g and h

• Function f and g

What is the horizontal asymptote of function g?

• y = 1

• y = 0

• y = -2

• y = 2

At what value of x does the numerator of function h's expression equal 0?

• x = 5

• x = 6

• x = -5

• x = 2

What is the horizontal asymptote of function h as x approaches infinity?

• y = 1

• y = -2

• y = 2

• y = 0

Which expression correctly matches function g?

• 2x / (x - 5)

• -2x + 12 / (x - 5)

• 2x - 12 / (x - 5)

• 12 - 2x / (x - 5)

How does the behavior of function g's expression as x approaches infinity confirm its horizontal asymptote?

• Approaches y = 0

• Approaches y = -2

• Approaches y = 2

• Approaches y = 1