8. Let f(x) = √25 - x² and g(x) = sinx. a) Graph f(x) and describe its shape. Is this function even, odd, or neither? I b) Graph g(x) on the same set of axes. Is this function even, odd, or neither? c) Predict the shape of y = f(x)g(x). Sketch a graph of your prediction. Then, check your prediction using graphing technology.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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8. Let f(x) = √25 - x² and g(x) sinx.
a) Graph f(x) and describe its shape. Is this
function even, odd, or neither?
I
b) Graph g(x) on the same set of axes. Is this
function even, odd, or neither?
c) Predict the shape of y = f(x)g(x). Sketch a
graph of your prediction. Then, check your
prediction using graphing technology.
d) Give the domain of y = f(x)g(x). Estimate
the range, to two decimal places, of
y = f(x)g(x). Explain why only an
estimate is possible.
Transcribed Image Text:8. Let f(x) = √25 - x² and g(x) sinx. a) Graph f(x) and describe its shape. Is this function even, odd, or neither? I b) Graph g(x) on the same set of axes. Is this function even, odd, or neither? c) Predict the shape of y = f(x)g(x). Sketch a graph of your prediction. Then, check your prediction using graphing technology. d) Give the domain of y = f(x)g(x). Estimate the range, to two decimal places, of y = f(x)g(x). Explain why only an estimate is possible.
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