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Identify the type of function represented by f(x)= 3(1.5)*.
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth


Sagot :

By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

How to determine the nature of the function

In this question we must determine the kind of function according to its characteristics based on definitions of typical functions, which are represented below:

Quadratic

y = a · x² + b · x + c

This function is reduced into a linear function when a = 0.

Exponential

[tex]y = a \cdot b^{c\cdot t}[/tex]

Where:

  • c > 0 - Exponential growth.
  • c < 0 - Exponential decay.

By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

Remark

The statement is poorly formatted. The correct statement is presented below:

Identify the type of function represented by f(x) = 3 · 1.5ˣ:

A. Quadratic

B. Exponential decay

C. Linear

D. Exponential growth

To learn more on exponential functions: https://brainly.com/question/11487261

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