# Find all relative extrema of the function. (If an answer does not exist, enter DNE.)f(x) = −4x2 + 5x + 8relative maximum    (x, y) =        relative minimum    (x, y) =

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Find all relative extrema of the function. (If an answer does not exist, enter DNE.)

f(x) = −4x2 + 5x + 8
relative maximum     (x, y)  =

relative minimum     (x, y)  =
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Step 1

Finding f’(x)

To find the relative extremum points of the function, we must use first derivative of the function,

Step 2

Finding all the critical points and all points where f is undefined.

The critical points of a function f are x-values within the domain of f for which f’(x) = 0 or

Where the function is defined and its derivative is zero and undefined.

So, critical points are:

Step 3

Analysing intervals of increase or decrease:

T...

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