Question

The average rate of change for an exponential function grows by equal [blank1] per unit interval. FILL IN THE BLANK...

Answer 1

Factors

Explanation:

For example, consider the exponential function

y =2(4)ˣ

Let's make a table of a few values.

`\begin{array}{rcc}\mathbf{x} & \mathbf{y} & \textbf{Factor}\\-2 & (1)/(8)& \\& &\mathbf{4} \\-1 & (1)/(2) & \\& &\mathbf{4} \\0 & 2 & \\& & \mathbf{4}\\1 & 8 & \\& &\mathbf{4} \\2 & 32 & \\\end{array}`

The average rate of change for the exponential function grows by equal factors of 4 per unit interval.