To determine the type of function [tex]\( f(x) = 2^x - 14 \)[/tex], let’s analyze its components.
1. Primary Component Analysis:
- The primary term [tex]\( 2^x \)[/tex] is a key indicator.
- This term is of the form [tex]\( a^x \)[/tex], where [tex]\( a \)[/tex] is a constant.
2. Characteristic Identification:
- Functions of the form [tex]\( a^x \)[/tex] (where [tex]\( a \)[/tex] is a constant) are categorized as exponential functions.
3. Understanding Other Terms:
- The term [tex]\(-14\)[/tex] is a constant, and adding or subtracting a constant does not change the fundamental nature of the underlying function.
4. Final Classification:
- Since the term [tex]\( 2^x \)[/tex] defines the primary behavior of the function and it is an exponential expression (regardless of the constant [tex]\(-14\)[/tex]), the function [tex]\( f(x) = 2^x - 14 \)[/tex] is Exponential.
Therefore, the function [tex]\( f(x) = 2^x - 14 \)[/tex] is classified as an Exponential function.
