Q. 10 - Calculus

Question

The graphs of the exponential functions y = e^x, y = e^3x, and y = e^-2x are shown in the preceding graph at the right. Use your knowledge of transformations to determine which graph is which without using a graphing calculator. 

Step-by-Step Solution

Answer

The graph passing through (0.1) is e^x The graph passing through (0.1) is e^3x The graph passing through (0.1) is e^-2x

Step 1. Given infromation

We have to determine which graph is of which in the given graph.

Step 2. Determine the graphs

The graph of $y=e^x,y=e^{3x},y=e^{-2x}$ is :

The graph passing through (0.1) is e^x The graph passing through (0.1) is e^3x The graph passing through (0.1) is e^-2x