2x^2-12x+19. find the interval where f is increasing and decreasing.

I need to find the intervals for f where it is increasing or decreasing. 2x^2-12x+19.
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1 Answer

f(x)=2x²-12x+19=2(x²-6x+9-9)+19,

f(x)=2(x-3)²-18+19=2(x-3)²+1 has a vertex at (3,1).

On the left side of the vertex f(x) is decreasing and on the right side it’s increasing. That is, x<3 decreasing, x>3 increasing; or (-∞,3) decreasing, (3,∞) increasing.

by Top Rated User (1.2m points)

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