A family of functions is given by f(x) = = (kx - b)e, where k ‡ 0. 1. Find the critical points of f(x), the intervals on which it is increasing and decreasing, and then classify the critical points as local maxima or minima. 2. Find all inflection points. Determine intervals at which the function is concave up or concave down. 3. For what values of k and b does the function has a critical point at x = = -2, and f(−2) 3 -2 e . Find the expression of the function. Enter the value of k in the blank below. Round your answer to two decimal places. =
A family of functions is given by f(x) = = (kx - b)e, where k ‡ 0. 1. Find the critical points of f(x), the intervals on which it is increasing and decreasing, and then classify the critical points as local maxima or minima. 2. Find all inflection points. Determine intervals at which the function is concave up or concave down. 3. For what values of k and b does the function has a critical point at x = = -2, and f(−2) 3 -2 e . Find the expression of the function. Enter the value of k in the blank below. Round your answer to two decimal places. =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 32E: For each function, find a the critical numbers; b the open intervals where the function is...
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