Rational Functions Test Review

Front

Simplify: (x^2 - 81)/(x^2 - 9)

Back

1/(x-9)

Front

What is the horizontal asymptote of the function f(x) = (2x^2 + 3)/(4x^2 + 5)?

Back

y = 1/2

Front

Identify the vertical asymptote of the function f(x) = (x + 3)/(x - 2).

Back

x = 2

Front

What is the horizontal asymptote of the function f(x) = (3x + 1)/(2x - 4)?

Back

y = 3/2

Front

Describe the transformation of the function f(x) = (x + 3)/(x - 2).

Back

shift left 3 units

Front

What is the domain of the function f(x) = (x + 1)/(x^2 - 4)?

Back

x ∈ R, x ≠ -2, 2

Front

What is the range of the function f(x) = (x - 1)/(x + 1)?

Back

y ∈ R, y ≠ 1

Front

Find the x-intercept of the function f(x) = (x - 4)/(x + 2).

Back

x = 4

Front

What is the vertical asymptote of the function f(x) = (x^2 - 1)/(x^2 - 4)?

Back

x = 2, -2

Front

What is the horizontal asymptote of the function f(x) = (5x^3)/(2x^3 + 1)?

Back

y = 5/2