1. What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? 2. Describe the constraints of the domain

Step-by-step explanation:

1), Average rate of change of a function in the interval [a, b] is given by,

   Average rate of change =

   From the given graph,

   Rate of change in the interval from x = 2 to x = 5,

   Average rate of change =

                                            =

                                            = 20

2). Domain of the function → (-∞, ∞)

   Or Domain → set of all real numbers.  

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.