How can I do this with the function (x+2) / x-3

Create a rational function with a linear binomial in both the numerator and denominator.

Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x - and y-intercepts on your graph. Label the asymptotes and intercepts.

Part 2. Show all work to identify the vertical asymptote, the x-intercepts, and the y-intercept.

Question

Kelly Gentry

Mathematics

10 March, 20:54

How can I do this with the function (x+2) / x-3

Create a rational function with a linear binomial in both the numerator and denominator.

Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x - and y-intercepts on your graph. Label the asymptotes and intercepts.

Part 2. Show all work to identify the vertical asymptote, the x-intercepts, and the y-intercept.

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Answers (1)

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Van Mcconnell · Answer 1

Y = (x+2) / (x-3)

This function exists for x≠3 (value that render the denominator nil)

If x →3, then y→ ∞, then:

Vertical Asymptote x=3

Horizontal asymptotes ↔ lim y = 1

x→∞

Horizontal asymptotes y = 1

x-intercept: for y = 0, x = - 2

y-intercept: for x = 0, y = - 2/3