3. the values given in the table below lie on the graph of a function.\nfind the average rate of change over…
3. the values given in the table below lie on the graph of a function.\nfind the average rate of change over the interval 0,10
Answer
Explanation:
Step1: Identify the formula for average rate of change
The formula for the average rate of change of a function (y = f(x)) over the interval ([a,b]) is (\frac{f(b)-f(a)}{b - a}).
Step2: Substitute the values from the table
Here, (a = 0), (f(a)=6) (when (x = 0,y = 6)), (b = 10), (f(b)=- 3) (when (x = 10,y=-3)). Substitute into the formula: (\frac{-3 - 6}{10-0}).
Step3: Simplify the expression
First, calculate the numerator: (-3-6=-9). The denominator is (10 - 0=10). So, (\frac{-9}{10}=-0.9).
Answer:
(-0.9)