Question

The rational function has a y-intercept of 7. What is the equation for this function?

Answer 1

@rebeccaskell94 can you help

Answer 2

I don't think I'd be your best option for getting help, sorry :c

Answer 3

Its okay thank you

Answer 4

f(0)=7
the function is a hyperbola of form\[f(x)=\frac{a}{x-p}+q\]

Answer 5

Im not really sure what you mean by that @Jonask could you walk me through it

Answer 6

where p and q are vertical and horizontal asymptote

Answer 7

the green line and the blue line are your asymptotes 'lines that the graph can never touch'

Answer 8

so what is their equation

Answer 9

i mean what is the equation of the green and the blue line

Answer 10

x = -2 and y = 5

Answer 11

yes you got it so this values are your p and q so i can write
x=p=-2 y=q=5

Answer 12

is that ok

Answer 13

yes what next

Answer 14

so f(x) = a/(x+2) +5

Answer 15

yes you are on the right track now find a by plucking in any point on the graph

Answer 16

a = 4?

Answer 17

yes and then you are done just put a back in the fuction
f(x) = a/(x+2) +5

Answer 18

so f(x) = 4/(x+2)+5
thank you!

Answer 19

yw