Question

For each of the following functions, calculate the average rate of change on the interval XE [2,5].
a) f(x)= 3x+1

Answer 1

Since this is a straight line, the slope of that line (its rate of change) is constant no matter what interval you look at.

The equation is given to you in y=mx+b form, where m is the slope. So, using that information...what is the average rate of change of this function?

Answer 2

but how can we solve this question!!

Answer 3

Plz help me

Answer 4

@razor99

Answer 5

y=mx+b
y=3x+1
m = 3

Answer 6

so basically we have to find the slope

Answer 7

Yes. Rate of change = slope.

Answer 8

but how can we find for this one g(x)= 1/x

Answer 9

@k8lyn911

Answer 10

yes k8 is right

Answer 11

@
Kevindragonlord

Answer 12

@Kevindragonlord

Answer 13

Well g(x)=1/x is a curved line, so the slope changes depending on where on the line you're looking.

If you want to find the slope at a particular point on the line you need calculus, but if all you need is the average slope between two points on that line, just calculate the slope using the equation for slope:

\[m={y_2-y_1 \over x_2-x_1}\]