a) f(x) is a quadratic function. The graph of f(x) decreases on the interval (-0, –2) and increases on the interval (2, ∞). It has a y-intercept at (0, 4). What is a possible equation for f(x)? b) Is there only one quadratic function, f(x), that has the characteristics given in part a)? c) If f(x) is an absolute value function that has the characteristics given in part a), is there only one such function? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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a) f(x) is a quadratic function. The graph of f(x) decreases on the
interval (-0, –-2) and increases on the interval (2, ∞). It has a
y-intercept at (0, 4). What is a possible equation for f(x)?
b) Is there only one quadratic function, f(x), that has the
characteristics given in part a)?
c) If f(x) is an absolute value function that has the characteristics
given in part a), is there only one such function? Explain.
Transcribed Image Text:a) f(x) is a quadratic function. The graph of f(x) decreases on the interval (-0, –-2) and increases on the interval (2, ∞). It has a y-intercept at (0, 4). What is a possible equation for f(x)? b) Is there only one quadratic function, f(x), that has the characteristics given in part a)? c) If f(x) is an absolute value function that has the characteristics given in part a), is there only one such function? Explain.
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