- #1

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For example,

Could you find the absolute max and min for this equation?

[tex]f(x) = -x^{4} + 4x^{3}[/tex]

Or do you need the restrictions:

[tex]f(x) = x^2 + 16x^{-1} , 1 \leq x \leq 4[/tex]

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- Thread starter Macleef
- Start date

- #1

- 30

- 0

For example,

Could you find the absolute max and min for this equation?

[tex]f(x) = -x^{4} + 4x^{3}[/tex]

Or do you need the restrictions:

[tex]f(x) = x^2 + 16x^{-1} , 1 \leq x \leq 4[/tex]

- #2

- 378

- 2

In polynomial case, it is infinite (see their graphs ).. (so you do need restrictions if you want to find some meaningful maximum or minimum values)

but there are some functions like e^(-x^2) that do have absolute maximum or minimum.. (see it's graph)

- #3

Dick

Science Advisor

Homework Helper

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- #4

- 378

- 2

Ooops, I forgot about even polynomials ><

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