33.0k views
3 votes
Please Help,

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.

User Steboc
by
8.8k points

2 Answers

3 votes

Answer:

Explanation:

Required is a graph of a rational function with degree 1 of x both in numerator and denominator also both binomials.

Consider the binomials x-1 and x+9

Let us consider f(x) =
(x-1)/(x+9)

This function graph is shown in the enclosure

2) Equate denominator to 0

We get x=-9

This is the vertical asymptote

For horizontal asymptote we see that both numerator and denominator have same degree

Hence horizontal asymptote is y = ratio of coefficients of leading terms

i.e.y=1 is horizontal asymptote

For x intercept put y =0

we get x =1 is the x intercept

For y intercept put x =0

y = 1/-11 = -1/11

Please Help, Create a rational function with a linear binomial in both the numerator-example-1
User Jvwilge
by
7.9k points
6 votes
f(x) = x−3 / x−5

x intercept = 3
y intercept = 0.6
User Ruena
by
8.7k points

No related questions found