The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 80 feet per second is f (t) = -16t² + 80t + 4. (a) verify that f(2) = f(3). f(2)= f(3) = (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (2, 3)? ft/sec Find that time. t= ft ft S

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Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
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The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 80 feet per second is f (t) = -16t² + 80t + 4.
(a) verify that f(2) = f(3).
f(2)=
f(3) =
(b) According to Rolle's Theorem, what must be the velocity at some time in the interval (2, 3)?
ft/sec
Find that time.
t=
ft
ft
S
Transcribed Image Text:The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 80 feet per second is f (t) = -16t² + 80t + 4. (a) verify that f(2) = f(3). f(2)= f(3) = (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (2, 3)? ft/sec Find that time. t= ft ft S
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