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The function f(x) is shown in the graph and the function g(x) is defined as g(x) 'y -8 -7 -6 -5 -4 -3 -2 -1 0 -1- -2 -4- -5 1 2 3 = = -3x² - 12x.

The function f(x) is shown in the graph and the function g(x) is defined as g(x) 'y -8 -7 -6 -5 -4 -3 -2 -1 0 -1- -2 -4- -5 1 2 3 = = -3x² - 12x.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −3x² – 12x. 'y -7 -6 f(x) -5 -4 -3 --2 -1 Both functions open downward. 0 -1- -2- ·3· These are both the same function. -4 -5 -6- -7 -8- -9- -10- -11- The function f(x) has a higher maximum. -12- 1 The function f(x) has only one x-intercept, while g(x) has two x-intercepts. Both functions have an axis of symmetry at x = -2. 2 3
Transcribed Image Text:The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −3x² – 12x. 'y -7 -6 f(x) -5 -4 -3 --2 -1 Both functions open downward. 0 -1- -2- ·3· These are both the same function. -4 -5 -6- -7 -8- -9- -10- -11- The function f(x) has a higher maximum. -12- 1 The function f(x) has only one x-intercept, while g(x) has two x-intercepts. Both functions have an axis of symmetry at x = -2. 2 3
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