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which statement is true about a function f(x), where f prime of x equals 2x squared plus 4 over x
f is increasing for x < −1.260 because f ′(x) < 0 for x < −1.260

f is increasing for x < −1.260 because f ′(x) > 0 for x < −1.260

f is decreasing for x > 0 because f ′(x) < 0 for x > 0

f is decreasing for x > 0 because f ′(x) > 0 for x > 0


Sagot :

Function f'(X) is increasing for x< - 1.260   because f ′(x) > 0 for x < −1.260

Describe function using an example?

A unique relationship where each input only has one output. Where x is the input value, it is frequently expressed as function "f(x)".

                             Example: "f of x equals x divided by 2" (f(x) = x/2). This expression is a function because each input "x" has a single output "x/2": • f(2) = 1.

Given,

              f'(X) = 2x² + 4/x

              f'(x) =  2x³ + 4/x

So, here f'(X) is positive for x< 1.260 .

f'(X) is increasing for x< - 1.260   because f ′(x) > 0 for x < −1.260

Learn more about function

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