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Describing Quadratic Functions

Describing Quadratic Functions 1.9 - Solution

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a
We are given the two functions below. One is linear, and the other is a quadratic function.

We have to find the rate of change of each function from to Before starting the computations, let's remember the expression that gives us the average rate of change of a function between and Using this formula, we can find the rate of change of each of the given functions.

Rate of Change

From the table above, we conclude that the function has greater rate of change from to We can also check it graphically.

b
First, let's remember the formula to calculate the rate of change of a function from to

As in Part A, let's find the rate of change of each of the given functions from and

Rate of Change

From the table above, we conclude once more that the function has a greater rate of change from to We can also check it graphically.