Question

The functions f and g are given by f(x) = x^4 and g(x) = 4x^2. Isse claims that the graphs of the functions intersect at the point (-2,16). Is Ise's claim true? Motivate your answer.

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Answer to a math question The functions f and g are given by f(x) = x^4 and g(x) = 4x^2. Isse claims that the graphs of the functions intersect at the point (-2,16). Is Ise's claim true? Motivate your answer.

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Maude
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105 Answers
1. Evaluate f(x) = x^4 at x = -2 :

f(-2) = (-2)^4 = 2^4 = 16

2. Evaluate g(x) = 4x^2 at x = -2:

g(-2) = 4(-2)^2 = 4 \cdot 4 = 16

Since f(-2) = 16 and g(-2) = 16 , the given point ( -2, 16 ) satisfies both functions.

Answer: Yes, Isse's claim is true. The graphs intersect at the point (-2, 16).

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