Given the exponential function a(x) = p(1 + r)x, what value for r will make the function a growth function? r = −2.1 r = −0.1 r = 0 r = 2.1

one thing to recall is that, the growth/decay factor, namely the number in the parentheses, if it's greater than 1, is a growth function, if it's less than 1, like 0.9, or 0.6 or such, is decay.

so, any value for "r" that's positive will do to make a growth function.

The value for r that will make the function a growth function is:

                          r=2.1

Step-by-step explanation:

We know that the exponential function that represent a growth rate is modeled by the equation of the type:

where x is the time over which the growth is estimated.

and the value of r is strictly greater than 0.

(

Since if -1<r<0 then the function is a decay function

and if r=0 then there is no change it remain constant     )

        Hence, the possible value of r is:

                 r=2.1

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.