Question

Question At what value ( c ) does the function ( f(x)=3 x-3 ) take on the average value ( f(c) ) over the interval ( [1,4] ) ? Provide your answer below: [ c=square ]

          Question
At what value ( c ) does the function ( f(x)=3 x-3 ) take on the average value ( f(c) ) over the interval ( [1,4] ) ?

Provide your answer below:
[
c=square
]

Added by Alex P.

Calculus Early Transcendentals

Howard Anton, Irl Bivens, Stephen Davis 9th Edition

Chapter 5

Instant Answer

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01/26/2024

Step 1

The average value of a continuous function $ f(x) $ over the interval $[a, b]$ is given by the formula: \[ \text{Average value} = \frac{1}{b-a} \int_{a}^{b} f(x) \, dx \] For the function $ f(x) = 3x - 3 $ over the interval [1,4], we calculate the average Show more…

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