Question

What is the graph of the function f(x) = x^2-7x+12/x-3

Answer 1

@sylbot dont give up on meeeee

Answer 2

i wont give up = )

Answer 3

yay! i missed you :D

Answer 4

: D

Answer 5

The graph is a line, do you know why @andy11 ?

Answer 6

Hint: `x²-7x+12 = (x-3)(x-4)`

Answer 7

ughh

Answer 8

Okay fine

Answer 9

The graph is a line, because \(\normalsize\color{blue}{ x^2-7x+12 }\) factors into \(\normalsize\color{blue}{ (x-3)(x+4) }\), and thus `(x-3)` cancels on top and bottom.

Answer 10

The result you get is, \(\normalsize\color{blue}{ f(x)=x+4 }\)

Answer 11

(pretty much) the same as `y=x+4` and you know what that will look like. If not, I can demonstrate 2 very easy ways to do it.

Answer 12

I'll be back if I am on after you reply.

Answer 13

hey thank you so much for explaining it. i can take it from here thanks again!

Answer 14

Just wanted to add

SHIFTS:

f(x)= ∛x ⇒ f(x)= ∛(x \(\normalsize\color{blue}{ +~\rm{c} }\) ) , c units left.
f(x)= ∛x ⇒ f(x)= ∛(x \(\normalsize\color{blue}{ -~\rm{c} }\) ) , c units right.
f(x)= ∛x ⇒ f(x)= ∛(x )\(\normalsize\color{blue}{ -~\rm{c} }\) , c units down.
f(x)= ∛x ⇒ f(x)= ∛(x )\(\normalsize\color{blue}{ +~\rm{c} }\) , c units up.

You can also tell, that y=x+4 is the same as y=x, but shifted 4 units up.

Answer 15

Anytime.... !

Answer 16

ok thank you and the answer that i got was the last attachment i posted

Answer 17

yes, that is correct :)

Answer 18

yay! thank you (:

Answer 19

You welcome !