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In each part, sketch the graph of a continuous function $f$ with the stated properties.(a) $f$ is concave up on the interval $(-\infty,+\infty)$ and has exactly one relative extremum.(b) $f$ is concave up on the interval $(-\infty,+\infty)$ and has no relative extrema.(c) The function $f$ has exactly two relative extrema on the interval $(-\infty,+\infty),$ and $f(x) \rightarrow+\infty$ as $x \rightarrow+\infty$(d) The function $f$ has exactly two relative extrema on the interval $(-\infty,+\infty),$ and $f(x) \rightarrow-\infty$ as $x \rightarrow+\infty$

graph

Calculus 1 / AB

Chapter 4

THE DERIVATIVE IN GRAPHING AND APPLICATIONS

Section 2

Analysis of Functions II: Relative Extrema; Graphing Polynomials

Functions

Limits

Derivatives

Differentiation

Continuous Functions

Applications of the Derivative

Baylor University

University of Michigan - Ann Arbor

University of Nottingham

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So for this first function, we see that there is one relative extremely and, um, the entire graphics con cave up we see for the second one. Um, there is no relative extreme a but it is calm. Keep up across the entire interval for this graph. Here we see that there are two relative extreme are here and here. And as X approaches infinity f of x purchase infinity Then lastly, we see that there are two relevant relative extreme A here in here and as X approaches infinity f of x approaches native city.

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