Given the graph of the function f below, estimate the intervals in which fis
increasing.

  (-∞, -5/2) ∪ (1, ∞)

Step-by-step explanation:

"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.

It is increasing again from the local minimum on the right to the right side of the graph.

The two sections where the graph is increasing are ...

  (-∞, -5/2) ∪ (1, ∞)

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The graph is decreasing between the maximum on the left and the minimum on the right.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.