2 years ago

From the graph below, what are the two intervals that the function is increasing on?

Mathematics

1 answer:

larisa86 [58]2 years ago

4 0

Step-by-step explanation:

The graphed function has its local maximum at x = - 1 and local minimum at x = 2.

The function is decreasing between those points and increasing outside.

The increasing intervals are

x ∈ (- ∞, - 1) ∪ (2, + ∞)

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What is the area of this figure?

nalin [4]

Answer:

<em>290.5 square miles</em>

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

$Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles$