The true statement is (c) the function is increasing, but the average rate of change decreases
How to determine the true statement?
From the function table of values, we have the following highlights
- The x values increase
- The values of f(x) also increase
The above means that the function is increasing
Next, we calculate the average rates of change:
At interval x = [0,1], the average rate of change is:
Rate = (8.49 - 3)/(1- 0) = 5.49
At interval x = [1,2], the average rate of change is:
Rate = (11.62 - 8.49)/(2- 1) = 3.13
The above shows that the average rate of change decreases
Hence, the true statement is (c) the function is increasing, but the average rate of change decreases
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