WILL MARK BRAINIEST Given: f(x) = 5x3 - x2 - 5x + 1 a. What are the interval(s) where the graph is increasing?
) and (
b. What are the interval(s) where the graph is decreasing?
Round all answers to the nearest hundredth. You may write negative infinity or positive infinity if you
must use these as part of your answer.

steps below

Step-by-step explanation:

f(x) = 5x³ - x² - 5x + 1

Local extremes: 15x²-2x-5=0  .. gradient=0

x = (2 ± √2²-4*(15)*(-5)) / (2*15)

  = (2 ± √304) / 30

  = (2 ± 4√19) / 30

  = (1 ± 2√19) / 15

  = (1 ± 8.718) / 15

local maximum: (1 + 8.718) / 15 = 0.648

local minimum: (1 - 8.718) / 15 = - 0.515

the interval(s) where the graph is increasing: x < - 0.515 or x > 0.648

the interval(s) where the graph is decreasing: - 0.515 < x < 0.648

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step-by-step explanation:

is there more to this question?