Writing Exponential Equations from Graphs: Two-Point Method

This lesson teaches how to write exponential equations by analyzing graphs. It covers identifying exponential growth and decay, understanding the general equation y = aB^X, and addresses common misconceptions. Two scenarios are explored: one with a known Y-intercept and another with an unknown Y-intercept, demonstrating how to derive equations using data points from graphs.

What is the general form of an exponential equation?

Explain the difference between exponential growth and exponential decay.

What common misunderstanding might occur when analyzing a graph for exponential relationships?

How can you determine the initial value 'a' in the exponential equation?

Describe the steps to find the explicit equation when the Y intercept is unknown.

What values do you need to substitute into the general equation to find 'B'?

Summarize the process of writing an exponential equation from a graph.