In this problem you will use Rolle's theorem to determine whether it is possible for the function f(x) 9x4x- 19 to have two or more real roots (or, equivalently, whether the graph of y =f(x) crosses the X-axis two or more times) Suppose thatf (x) has at least two real roots. Choose two of these roots and call the smaller one a and the larger one b. By applying Rolle's theorem tof on the interval a, b], there exists at least one number C in the interval (a, b) so thatf (c) = derivative f (x) The values of the and therefore it is? for f(x) to have two or more real roots. are always ?
In this problem you will use Rolle's theorem to determine whether it is possible for the function f(x) 9x4x- 19 to have two or more real roots (or, equivalently, whether the graph of y =f(x) crosses the X-axis two or more times) Suppose thatf (x) has at least two real roots. Choose two of these roots and call the smaller one a and the larger one b. By applying Rolle's theorem tof on the interval a, b], there exists at least one number C in the interval (a, b) so thatf (c) = derivative f (x) The values of the and therefore it is? for f(x) to have two or more real roots. are always ?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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Drop down options 1: changing, negative, positive, zero, undefined
Drop down options 2: plausible, unlikely, possible, impossible
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