Question

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

Answer 1

Answer:

$y=-4x+10$

Step-by-step explanation:

A linear function has a constant rate of change.

So all you need to do is to identify which of the given options is a linear function.

$y=-4x+10$ is a linear function and the rate of change is -4.

We can see this is a constant.

$y=\frac{1}{2}x^2$ has a variable rate of change which is $x$

$y=3^x$ also has a rate of change which is  $3^x\ln3$

$y=x^2+2$ also has a variable rate of change which is 2x