Identifying exponential growth functions which is an exponential growth function? f(x) = 6(0.25)x f(x) = 0.25(5.25)x f(x) = –4.25x f(x) = (–1.25)x

f(x) = 0.25(5.25)ˣ

Step-by-step explanation:

In order to show exponential growth, the numbers must be positive and the base of the exponent must be larger than 1.

Think of it as a percentage.  The base of the exponent will be the percentage of the original amount taken each time; if it is less than 1.00 then it would shrink.  Larger than 1.00 will grow.  The only one with positive numbers and a growth factor of greater than 1 is f(x) = 0.25(5.25)ˣ.

The exponential growth function is . Option (b) is correct.

Further explanation:

Given:

The options are as follows,

(a).

(b).

(c).

(d).

Explanation:

The general form of exponential function can be expressed as follows,

Here, represents the initial value, is the value after time and represents the growth rate.

For exponential grown function the value of b must be greater than 1.

In option (a) value of is less than 1. Therefore, it doesn’t represent the exponential growth.

In option (b) value of is greater than 1. Therefore, itrepresents the exponential growth.

In option (c) value of is less than 1. Therefore, it doesn’t represent the exponential growth.

In option (d) value of is less than 1. Therefore, it doesn’t represent the exponential growth.

The exponential growth function is . Option (b) is correct.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponential function

Keywords: population grow, rate of growth, growth model, exponential growth, estimates, t years, exponential growth model, standard form, point slope form, exponential function.

-6 is the correct option from the above given options

answer: about 22.67

step-by-step explanation: