SOLVED: Determine the average value of the piecewise function f defined below on the interval x = -1 to x = 2. Express your answer in simplest form: -121 + 6 for x ≤ 0 6x^2 + 2ac for x > 0 f(x) = 3

Piecewise Functions – Limits and Continuity | Calculus
Piecewise Functions – Limits and Continuity | Calculus

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Determine the average value of the piecewise function f defined below on the interval x = -1 to x = 2. Express your answer in simplest form:
-121 + 6 for x ≤ 0
6x^2 + 2ac for x > 0
f(x) = 3

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Transcript

and in this question it is given that the function f of X is equal to minus. Well let’s plus six for excess less than zero and six. X coil minus two X for access Greater than or equal to zero. You know we are going to find the peace based value of the function defined on the interval X is equal toe minus one two x is equal to two here. The formula to calculate the piecewise valuers average value is equal to one divided by b minus c integral A to b in floor fix. The Higgs here the value of a is -1 and the value of BS too. Now substitute the values in the formula we get one 2 -1 -1 integral -1- two. Yeah F for fix which is equal to one divided by here. This two plus one which is…

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