A continuous piecewise function, g(x), is defined by the following conditions. i. The range is (0, 6]. ii. The graph has an endpoint at (4, 3). iii. On the interval [3, 4], g(x) is quadratic with a vertex at (3, 6) iv. On the interval [1, 3], g(x) is constant. v. On the interval (-o, 1], g(x) is exponential 3 -1, and contains the points -2, and 4 Sketch g(x).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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A continuous piecewise function, g(x), is defined
by the following conditions.
i. The range is (0, 6].
ii. The graph has an endpoint at (4, 3).
iii. On the interval [3, 4], g(x) is quadratic with a
vertex at (3, 6)
iv. On the interval [1, 3], g(x) is constant.
v. On the interval (-o, 1], g(x) is exponential
3
and contains the points -2,
and -1,
Sketch g(x).
lowing.
Transcribed Image Text:A continuous piecewise function, g(x), is defined by the following conditions. i. The range is (0, 6]. ii. The graph has an endpoint at (4, 3). iii. On the interval [3, 4], g(x) is quadratic with a vertex at (3, 6) iv. On the interval [1, 3], g(x) is constant. v. On the interval (-o, 1], g(x) is exponential 3 and contains the points -2, and -1, Sketch g(x). lowing.
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