The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by
So for f(x) = x² on [1, 5], the AROC of f is
Answer:
The scale factor of the dilation is 3
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
so
Rectangle ABCD and rectangle A'B'C'D' are similar
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
Let
z ----> the scale factor
we have
----> difference of x-coordinates
---> difference of x-coordinates
substitute
The scale factor is greater than 1
so
The dilation is a enlargement