1. Sketch a graph of a function that has the features to match the following: i. It has x intercepts at x=0 and x=2 ii. It has y intercept at y=0 iii. The 1st derivative and 2nd derivative of the function follows the table below: f'(x) fƒ"(x) x<0 x=0 01.5 negative 0 positive 0 positive positive positive 0 negative a) At what x value(s) does the function have critical points? b) At what x value does the function have a relative max? c) At what x value does the function have a relative min? d) At what x value(s) does the function have a point of inflection? e) List the intervals where the function is increasing. f) List the intervals where the function is decreasing. g) List the intervals where the function is concave up. h) List the intervals where the function is concave down. negative negative negative

1. Sketch a graph of a function that has the features to match the following: i. It has x intercepts at x=0 and x=2 ii. It has y intercept at y=0 iii. The 1st derivative and 2nd derivative of the function follows the table below: f'(x) fƒ"(x) x<0 x=0 01.5 negative 0 positive 0 positive positive positive 0 negative a) At what x value(s) does the function have critical points? b) At what x value does the function have a relative max? c) At what x value does the function have a relative min? d) At what x value(s) does the function have a point of inflection? e) List the intervals where the function is increasing. f) List the intervals where the function is decreasing. g) List the intervals where the function is concave up. h) List the intervals where the function is concave down. negative negative negative

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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