What is the rate of growth as a percent for the following function d(x)=23(1.0032)^x

g(x), the % growth rate function, is

where b and a are x-values of the function d(x), b > a, and a ≠ 0.

Step-by-step explanation:

So,

Since no two values were specified, I will proceed to make a new function, the % growth rate function g(x), based on the one you have given.

We can define g(x) as follows:

Where b and a are x-values, b > a, and a ≠ 0.

Substituting the function for values a and b, we get:

Simplifying, we get:

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)