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The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −5x² – 20x. 0 -1- -8 -7 -6 f(x) -5 -4 -3 -2 -1 These are both the same function. Both functions open downward. -2 -3- =4 -5 -6 -7 -8- -9- -10- -11- -12- The function f(x) has a higher maximum. 1 2 Both functions have an axis of symmetry at x = -2. 3 The function f(x) has only one x-intercept, while g(x) has two x-intercepts.

The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −5x² – 20x. 0 -1- -8 -7 -6 f(x) -5 -4 -3 -2 -1 These are both the same function. Both functions open downward. -2 -3- =4 -5 -6 -7 -8- -9- -10- -11- -12- The function f(x) has a higher maximum. 1 2 Both functions have an axis of symmetry at x = -2. 3 The function f(x) has only one x-intercept, while g(x) has two x-intercepts.

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) = −5x² – 20x. V -8 -7 -6 f(x) -3 -2 -1 These are both the same function. Both functions open downward. 0 =1 =2 £3- -4 -5 -6- -7- -8- -9- -10- -11- -12- The function f(x) has a higher maximum. 1 2 Both functions have an axis of symmetry at x = -2. 3 The function f(x) has only one x-intercept, while g(x) has two x-intercepts.
Transcribed Image Text:The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −5x² – 20x. V -8 -7 -6 f(x) -3 -2 -1 These are both the same function. Both functions open downward. 0 =1 =2 £3- -4 -5 -6- -7- -8- -9- -10- -11- -12- The function f(x) has a higher maximum. 1 2 Both functions have an axis of symmetry at x = -2. 3 The function f(x) has only one x-intercept, while g(x) has two x-intercepts.
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