Question

Consider the function f(x)=5,200(1.1)x. What does the value 1.1 represent in the function?

1) The base of the exponential function
2) The coefficient of the exponential function
3) The exponent of the exponential function
4) The constant term of the exponential function

Answer 1

The value 1.1 in the function f(x)=5,200(1.1)^x is the base of the exponential function, indicating the growth factor per unit increase in the exponent x.

Step-by-step explanation:

The value 1.1 in the function f(x)=5,200(1.1)^x represents the base of the exponential function. This means that for each unit increase in x, the function's output is multiplied by 1.1. The base signifies the factor by which the initial amount (5,200 in this case) is repeatedly multiplied, indicating exponential growth.