Question

Which of the following functions has a constant rate of change that stays the same?

Answer 1

@rebeccaxhawaii

Answer 2

Do you know how to find the rate of change of a function?

Answer 3

No @Bobo-i-bo

Answer 4

intuitively, the rate of change of a function is how fast the function goes up or down as you progress from left to right. The rate of change of a function is
\[\frac{dy}{dx}\]
So for example, if
\[y=x^2\]
then the rate of change of the function at a point x is:
\[\frac{dy}{dx}=\frac{d}{dx} (x^2)=2x\]
Get what I mean? :)

Answer 5

Kinda. So am I right with what I chose in the pic?? @Bobo-i-bo

Answer 6

Yes :) But what's your justification?

Answer 7

So I am right?

Answer 8

B is the correct answer??

Answer 9

Lol, no guessing. What's your justification?

Answer 10

I'm not really sure

Answer 11

I just looked at the possible answers and that one seemed to look like it was correct

Answer 12

Okay, so the rate of change of a function is the derivative of the function. The question is asking, the differential of which function is always a constant value?
For example, in the example I gave, when y=x^2, dy/dx=2x. When x=2, dy/dx=2*2=4 and when x=4, dy/dx=2*4=8. Therefore the value of dy/dx changes when the value of x changes. The question is asking, which dy/dx does not change when x changes. Make sense? :P

Answer 13

Yea! Now I get it! Thanks @Bobo-i-bo :0
So my answer is B

Answer 14

Yup! :)