Graphing Exponential Functions Worksheet Solution Guide

Step 1: Begin by identifying the base and the exponent in the given equation. These components determine how the curve will behave and the direction in which it grows or decays.

Step 2: Plot key points by selecting several values for the variable and calculating their corresponding results. Make sure to include both positive and negative inputs for a more complete view of the graph.

Step 3: After plotting, observe the steepness and direction of the curve. For growth models, the curve should rise steeply as the input increases. For decay models, it should decrease as the input increases.

Step 4: Use the calculated points to sketch the curve smoothly, keeping in mind the horizontal asymptote, which represents the value the graph approaches but never quite reaches.