Question

Quick question, when you are trying to find the rate of change for a function is what ever is on the bottom always going to be the rate of change. If not how do you find the rate of change?

Answer 1

\[\frac{ y }{ x }\]

If it looks like this will x be the rate of change?

Answer 2

rate of changes are always calculated using
\[\frac{ y2-y1 }{ x2-x1 }\]
in some functions they tell you calculate it for which x=1 and x = 6 for example

Answer 3

what's your question that would help more to solve it as example

Answer 4

Given a graph of a function, explain how to find the rate of change and how to determine whether it is a linear or nonlinear function.

Answer 5

That is a question

Answer 6

To find the rate of change of a function, you need to find two points on the graph. Then, you will use the equation (y2-y1)/(x2-x1). It is a linear function if it is a line. For example, y=5x is linear. But y=5x^2 is not.

Answer 7

okay
So the rate of change in linear functions is constant which means that it moves by a constant rate.

nonlinear is quite the opposite which is that the rate is quite different from points to another such as the exponential function or polynomials

Answer 8

To prove that the function is linear or not pick 4 coordinates and calculate the rate of change between each 2 coordinates and if they were constant (same rate) then the function is linear

Answer 9

need example or did you get it?

Answer 10

Um... I just started learning about this, I am in the 8th grade so an example would be great.

Answer 11

okay so here's a linear function
2x + 1
The coordinates we have are
A(0,1) B(0.5,2) C(1.5,4) D(2,5)
1st find the average between A and B
And then find the average between C and D
you'll find out that the average in both cases is equal to 2
which confirms that the rate is constant which mean that the function is linear..
hope that helps i have to go

Answer 12

A and B +(.5, 1)

Answer 13

That does help! Thanks!!