Suppose f(x) = – 0.5 · x² + 3 graphing calculator (like Desmos function f. a. Determine the interval(s) c over which f has positive graph is "concave up"). b. Determine the interval(s) C over which f has negative the graph is "concave dow

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.5: Graphing Rational Functions
Problem 36PS
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Suppose f(x) = - 0.5 · x* + 3æ². Use a
graphing calculator (like Desmos 2) to graph the
function f.
a. Determine the interval(s) of the domain
over which f has positive concavity (or the
graph is "concave up").
Preview
b. Determine the interval(s) of the domain
over which f has negative concavity (or
the graph is "concave down").
Preview
c. Determine any inflection points (points
where the concavity changes in the form
x, f(x))) for the function. If there is more
than one, enter all of them as a comma-
separated list.
Preview
Transcribed Image Text:Suppose f(x) = - 0.5 · x* + 3æ². Use a graphing calculator (like Desmos 2) to graph the function f. a. Determine the interval(s) of the domain over which f has positive concavity (or the graph is "concave up"). Preview b. Determine the interval(s) of the domain over which f has negative concavity (or the graph is "concave down"). Preview c. Determine any inflection points (points where the concavity changes in the form x, f(x))) for the function. If there is more than one, enter all of them as a comma- separated list. Preview
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