Question

in an exponential function of the form $f(x) = ab^{cx}$, the number $b$ is called the _____.

\bigcirc variable

\bigcirc root

\bigcirc base

\bigcirc exponent

Explanation:

In an exponential function of the form \( f(x)=ab^{cx} \), we recall the components of exponential notation. The general form of an exponential expression is \( \text{coefficient} \times \text{base}^{\text{exponent}} \). Here, \( b \) is the base of the exponential part. A variable would be \( x \) (the input to the function), a root is related to solving equations (not the name for \( b \) here), and the exponent is \( cx \) (the power to which the base is raised). So \( b \) is called the base.

Answer:

C. base