Rational Function Relay #1

For the rational function f(x), find the x-intercept(s):

• (5, 0)

• (0, 5)

• (-2, 0)

• (5, 0) and (-2, 0)

For the rational function f(x), find the y-intercept:

• No y-intercept

• (5/7, 0)

• (0, -5/7)

• (0, 5/7)

For the rational function f(x), find the horizontal asymptote:

• No horizontal asymptote

• y = 1

• x = 1

• y = 0

For the rational function f(x), find the vertical asymptotes:

• y = 7

• x = -2 and x = 7

• x = 7

• No vertical asymptotes

For the rational function f(x), find the slant asymptote:

• No slant asymptote

• y = x

• y = x + 2

• y = x - 2

For the rational function f(x), find the end behavior:

• As x approaches ±∞, f(x) approaches -1.
• As x approaches ±∞, f(x) approaches 0.
• As x approaches ±∞, f(x) approaches 1.
• As x approaches ±∞, f(x) approaches ∞.

For the rational function f(x), find coordinates of the hole:

• (-2, 7/9)
• (0, 5)
• (-1, 3/4)
• (3, 2)

For the rational function g(x), find the x-intercept(s):

• x = -1
• x = 3

• x = -3

• x = 3, x = -3

For the rational function g(x), find the y-intercept:

• -3
• 3

• -9

• -1

For the rational function g(x), find the horizontal asymptote:

• y = 0
• None

• y = -1
• y = 1