We are given the function:
g(x) = 6 (4)^x
Part A.
To get the average rate of change, we use the formula:
average rate of change = [g(x2) – g(x1)] / (x2 – x1)
Section A:
average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) =
18
Section B:
average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) =
288
Part B.
288 / 18 = 16
Therefore the average rate of change of Section B is 16 times
greater than in Section A.
<span>The average rate of change is greater between x = 2 to x = 3 than between
x = 1 and x = 0 because an exponential function's rate of change increases
with increasing x (not constant).</span>
The length of the radius will be 22 units.
<h3>What is the radius?</h3>
The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.
Now from the question, we have an expression:
By solving the above equation we get
Hence the length of the radius will be 22 units.
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The way that this linear function compares to y+11 is that It has the same slope and the same y-intercept.
<h3>What is a linear function?</h3>
This is the type of function that would produce a line when it is graphed out.
When we write out the equations in 1 and 2 we would see that they are basically the same type of equation. A linear equation is made up of the slope and the intercept.
Read more on linear equation here:
brainly.com/question/14323743
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