Question

Analyze the characteristics of the exponential function f(x)=3. What is the initial value?

a) 6
b) 8
c) 4
d) -8

Answer 1

The initial value of the exponential function f(x) = 3 is 3, as the function represents a horizontal line where the y-value is constantly 3 regardless of x.

Step-by-step explanation:

The characteristics of the exponential function f(x) = 3 show that the value of f(x) is constant, meaning that it does not change as x changes. This means that the function does not have the common properties of an exponential function where the value increases or decreases at a rate proportional to its current value. Instead, it represents a horizontal line on the graph where the y-value is always 3. Therefore, in this context, the term 'initial value' refers to the y-value of the function when x is zero. Since f(x) is always equal to 3 regardless of x, the initial value of the function is 3.