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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Ok when the function is increasing that means the slope of the tangent at a particular point on the function is increasing right?
Yes
just find the interval where f'(x) is positive. f will increase on that interval. and find the interval where f'(x) is negative. f will decrease on that interval

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Other answers:

It is a quadratic, so we can use the vertex and not do all this pesky calculus stuff.
Is it increasing at (-inifinity, -1) U (-4, infinity) and decreasing at (-1,-4)
Correct
Actually waittt no you flipped the signs all should he positive
So you're saying it should be decreasing at (-infinity,1) U (44,infinity) and increasing at (1,4)
Noo i mean its increasing from ]inf,1[ uni ]5,inf[ and decr (1,4)
-inf*
Do you mean -inf,1 and 4, inf because thats what the answer choice says
Yess
Thats when its increasing oh yeah sorry i wrote 5 by mistake
Okay thank you so much!!!!
Anytime

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