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The function f(x) = -x^4 + 3 does not have an absolute maximum. TRUE OR FALSE?

User Jovi
by
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2 Answers

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We have to determine if the function has the absolute value maximum:

F(x)=-x^4+3 ⮕ (1)

The plot of the function is (1)


The f(x) has the absolute mad, and it is at x=0


Solution


False
User Cuzi
by
8.1k points
5 votes

Answer:

False.

Explanation:

The equation f(x) =
-x^4 + 3 has a maximum interval of (0, 3).

First simplify the equation:

f(x) =
-4x^3

Then find the intervals:

Increasing -∞<x<0, Decreasing 0>x>∞

Plug x = 0 into
-x^4+3: 3

Therefore the maximum interval of
f(x) = -x^4 + 3 is (0, 3)

User Ilya Sereb
by
8.5k points

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