Answer: c = 4.97 and c = -1.97
Step-by-step explanation: <u>Mean Value Theorem</u> states if a function f(x) is continuous on interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:
So, for the function f(x) = on interval [-4,9]
f(-4) =
f(-4) = 113
f(9) =
f(9) = 100
Calculating average:
Resolving through Bhaskara:
c =
c = = 4.97
c = = -1.97
<u>Both values of c exist inside the interval [-4,9], so both values are mean slope: c = 4.97 and c = -1.97</u>