Question

y=x^2-2. What is Δ Y?

Answer 1

Δ Y= \(dy\)

let's find Δ y/Δx
when Δ x--->0
Δ y/Δx ---> dy/dx
let's find
dy/dx
=2x
dy=2x dx
so
Δ y=2xΔx

Answer 2

That wasn't one of the answers.. I chose something longer like [(x-Δx)^2-(something) (x^2-2)]

Answer 3

yeah it can be like this also
y=x^2-2
(y+Δ y)=(x+Δx)^2-2
subtracting the two , we get
Δy= (x+Δx)^2-(x^2)

Answer 4

Shoot, got that one wrong.

Answer 5

are you writing a test?

Answer 6

Nope, I just took my calc test and i'm checking the ones i wasn't sure about!

Answer 7

okay :) do it well next time:)

Answer 8

thanks!

Answer 9

Do you know if there is a function with 5 horizontal asymptotes? this was another t/f question

Answer 10

We'd have to check options, can't tell like this . Maybe the function is piece wise defined