the average rate of change from ( x = - 2 ) to ( x = 6 ) for the function shown in the graph is
the average rate of change from ( x = - 2 ) to ( x = 6 ) for the function shown in the graph is
Answer
Explanation:
Step1: Recall the formula for average rate of change
The formula for the average rate of change of a function (y = f(x)) from (x=a) to (x = b) is (\frac{f(b)-f(a)}{b - a}). Here, (a=-2), (f(a) = 7), (b = 6), and (f(b)=3).
Step2: Substitute the values into the formula
Substitute (a=-2), (f(a) = 7), (b = 6), and (f(b)=3) into (\frac{f(b)-f(a)}{b - a}). We get (\frac{3 - 7}{6-(-2)}=\frac{-4}{8}).
Step3: Simplify the fraction
Simplify (\frac{-4}{8}) to (-0.5).
Answer:
(-0.5)