Consider the function f(x) = ax³ + bx where a > 0. (a) Consider b>0. i. Find the x-intercepts. ii. Find the intervals on which f is increasing and decreasing. iii. Identify any local extrema. iv. Find the intervals on which f is concave up and concave down. (b) Consider b < 0. i. Find the x-intercepts. ii. Find the intervals on which f is increasing and decreasing. iii. Identify any local extrema. iv. Find the intervals on which f is concave up and concave down.
Consider the function f(x) = ax³ + bx where a > 0. (a) Consider b>0. i. Find the x-intercepts. ii. Find the intervals on which f is increasing and decreasing. iii. Identify any local extrema. iv. Find the intervals on which f is concave up and concave down. (b) Consider b < 0. i. Find the x-intercepts. ii. Find the intervals on which f is increasing and decreasing. iii. Identify any local extrema. iv. Find the intervals on which f is concave up and concave down.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.2: Zeros Of Linear Fumctions
Problem 53PFA
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