# Algebra II

posted by .

Give the equations of any horizontal asymptotes for the graphs of the rational functions.

h(x)=(7x²-8x-5)/(8x²-3x+9)

g(x)=(x²+4x-8)/(x-8)

• Algebra II -

divide top and bottom by x^2 to get

h(x) = (7 - 8/x - 5/x^2)/(8 - 3/x + 9/x^2)
as x approaches infinity, h(x) --> 7/8
so the horizontal axis is y = 7/8

the second one does not have a horizontal axis, but ...
g(x) = x + 12 + 88/(x-8)

there is an oblique asymptote at y = x + 12

## Similar Questions

1. ### MATH _ GRAPHING RATIONAL FUNCTIONS

When graphing rational functions, how do I know which directions the graphs go?
2. ### Gr.11 - Rational functions graphing.

1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. …
3. ### Algebra

Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, …
4. ### Algebra II

Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x²+7)
5. ### Algebra II

Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(3x³+6x-6)/(x²+3x-10)
6. ### Algebra II

Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x²+7)
7. ### Math

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes Is the answer D. vertical asymptotes?
8. ### Geomatry

For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6
9. ### algebra

For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6
10. ### m240

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes My answer is B is this correct.

More Similar Questions