Use the function f(x) = 34.2 · 3x to answer the following questions. 1.) What is the domain and range of the function?

2.) What is the initial value of the function?

3.) What would be the rate of change over the interval [2, 4]?

4.) Let f(x) = 3x − 15, g(x) = 4^x, and h(x) = 0.5(6)^x.

a.) Find the rate of change for each over the interval [1, 4].

b.) Which function has the greatest rate of change over that interval?

c.) Which function has the least rate of change over that interval?

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.