Select the correct answer. This table represents function f.
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If function g is a quadratic function that contains the points (-3,5) and (0,14), which statement is true over the interval [-3,0]?

A.
The average rate of change of f is more than the average rate of change of g.
B.
The average rates of change of f and g cannot be determined from the given information.
C.
The average rate of change of f is the same as the average rate of change of g.
D.
The average rate of change of f is less than the average rate of change of g.

college

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.