10.4 Homework MAT210

Question

Calculate the average rate of change of the given function f over the intervals [a, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h = 0.01, 0.001, and 0.0001.) (Round your answers to five decimal places.)

f(x)=8/x ; a=4

h = 1

h = 0.1

h = 0.01

h = 0.001

h = 0.0001

Answer 1

Jenna,

My recommendation is to use a TI-84 calculator

Make "y₁" equal 8/x

go to "table" and start at 4, but vary the "step" to get your value

Otherwise, you can use a spreadsheet on a computer to do the same thing.

Hope this helps--Andrew F.