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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108 Answers

1. Evaluate

f(x) = x^4

x = -2

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

2. Evaluate

g(x) = 4x^2

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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