Brainliest + points write an exponential growth function. explain why your function represents exponential growth.

We need to write an exponential growth function.

Let us define an exponential function first.

An exponential function is a function whose has a variable the exponent.

Equation of an exponential function is , where is the initial value, b is the growth factor.

Let us define and exponential growth function now.

When the rate in exponential function increase, we get an exponential growth function.

In , equation when value of b is greater than 1, it will be an exponential growth function.

Let us take an example now.

Let us take another example.

Exponential growth function totally depends on the value of b we take.

Only if b>1 it would be an Exponential growth function.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.