Lars was 20 inches tall when he was born, and six foot one when he died at age 83. Use the Intermediate Value Theorem to show that there must have been some point in Lars's life at which his height in inches was equal to his age in years

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
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Lars was 20 inches tall when he was born, and six foot one when he died at age 83. Use the Intermediate Value Theorem to show that there must have been some point in Lars's life at which his height in inches was equal to his age in years. 

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Intermediate value theorem :-

Let f be a continuous function on [a,b] and f(a) =/ f(b) with f(x) < N < f(b). Then there exist c in (a,b) such that f(c) = N

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