For the quadratic function below, what is the rate of change over the interval.
3 ≤ x ≤ 5
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Answer:
2
Step-by-step explanation:
The rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ 3, 5 }
and from the graph
f(b) = f(5 ) = 3 and f(a) = f(3) = - 1, hence
rate of change = [tex]\frac{3-(-1)}{5-3}[/tex] = [tex]\frac{4}{2}[/tex] = 2