The rate of change of function f is the same from x=-2 to x=1 as it is from x=1 to x=4. Is function f linear, quadratic, or exponential?

Answer 1

So Alia, look at the "width" of the two intervals quoted. They are each +3 units, right? So if the rate of change is identical, the net change over the intervals is identical (since rate = net change / net run). So what kind of function does that? Has continuous, even rise / run? If still in doubt, just sketch an example of each of the possible types of function. Hint: use a straightedge = ruler to draw the linear function. If you still don't have a clue as to what the function types are, look them up in your textbook, perhaps? These are really basic math relationship types; it's not like you need to master "How to Bake π ", which by the way is an outstanding book if you are finding math challenging.

-- Cheers, --Mr. d.