Respuesta :

The function y = 5x demonstrates exponential growth.

What do we exactly mean by Exponential Function?

  • An exponential function is indicated when the input variable x appears as an exponent in the formula f(x) = ax.
  • Both the exponential function and the value of x have an effect on the exponential curve.

The exponential function is a fundamental mathematical function with the following formula:

f(x) = aˣ

  • Where a>0 and a does not equal to 1.
  • x can be any genuine number.
  • If the value of the variable is negative, the function for (-1<x<1) is undefined.

Here,

  1. The variable is  "x".
  2. The base of the function, "a," is a constant.
  • An exponential curve may increase or decrease depending on the exponential function.
  • If a quantity regularly increases or decreases by a predetermined percentage, it should have either exponential growth or exponential decay.

So,

Given function: y = 5x

If we put x = 1 as follows:

  • y = 5×1
  • y = 5

Then, if we put x = 2 as follows:

  • y = 5×2
  • y = 10

We see that 10 > 5.

  • So, when x increases, y also increases.

Therefore, the function y = 5x demonstrates exponential growth.

Know more about Exponential Function here:

https://brainly.com/question/2456547

#SPJ4

Otras preguntas