Question

Algebra 1 question
Medal + Fan

Answer 1

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.

Answer 2

Did you come up with the rational function yet ?

Answer 3

sorry I went for a bite @math&ing001

Answer 4

and no, I didn't

Answer 5

No worries, can you come up with two random binomials ?

Answer 6

Umm.... sure :) Ill try

Answer 7

x^2 + 5 and x^2 + x.... I mean you asked for just any binomials not a rational function with a linear binomial.... right?

Answer 8

Yeah, forgot to precise. The binomials should be linear.
It simply means they should be written as \(ax+b\)

Answer 9

oh ok.... so what would an example look like?

Answer 10

Like 2x+3

Answer 11

ah ah ok then... so what should I do again?

Answer 12

After you come up with two linear binomials put one of them in the nominator and the other in the denominator: that's your rational function.

Answer 13

ok so here are 2 random ones: 4x+1 and 2x+9 making it (4x+1)/(2x+9)

Answer 14

Great !
Now here's the graph for f(x)=(4x+1)/(2x+9) using technology:
https://www.desmos.com/calculator/esrhtx9zgr

Answer 15

Thank you.... now we're off to part 2 :D

Answer 16

OK we'll start by the x and y-intercepts.
Put x=0 and find y, that the y-intercept.

Answer 17

hmmm.... 1 and 9?

Answer 18

before we continue, how would the asympnote be placed on the graph?