Consider the given function and the given interval. f(x) = (x-3)², [2,5] (a) Find the average value fave of fon the given interval. fave - 1 (b) Find c such that fave = f(c). (Enter your answers as a comma-separated list.) C = (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. 1 2 3 4 5 6 -1 2 1 2 3 4 5 X -1 1 2 3 4 5 1 2
Consider the given function and the given interval. f(x) = (x-3)², [2,5] (a) Find the average value fave of fon the given interval. fave - 1 (b) Find c such that fave = f(c). (Enter your answers as a comma-separated list.) C = (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. 1 2 3 4 5 6 -1 2 1 2 3 4 5 X -1 1 2 3 4 5 1 2
Consider the given function and the given interval. f(x) = (x-3)², [2,5] (a) Find the average value fave of fon the given interval. fave - 1 (b) Find c such that fave = f(c). (Enter your answers as a comma-separated list.) C = (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. 1 2 3 4 5 6 -1 2 1 2 3 4 5 X -1 1 2 3 4 5 1 2
Consider the given function and the given interval.
Transcribed Image Text:Consider the given function and the given interval.
f(x) = (x-3)², [2,5]
(a) Find the average value fave of fon the given interval.
fave - 1
(b) Find c such that fave = f(c). (Enter your answers as a comma-separated list.)
C =
(c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f.
1
2
3 4 5
6
-1
2
1
2
LOLL
1 2 3 4 5
3 4 5
-1
1
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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![Consider the given function and the given interval.
f(x) = (x-3)², [2,5]
(a) Find the average value fave of fon the given interval.
fave - 1
(b) Find c such that fave = f(c). (Enter your answers as a comma-separated list.)
C =
(c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f.
1
2
3 4 5
6
-1
2
1
2
LOLL
1 2 3 4 5
3 4 5
-1
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c697d28-b045-4ad5-89b7-d2d0492910f8%2F2f03d176-8e04-431b-89e8-4b160275acca%2F1b30mr_processed.png&w=3840&q=75)
