Question

Question #7bbc6

Answer 1

Socratic has scratchpads with a graphing feature.
www.desmos.com/calculator is a free online graphing calculator.

Explanation:

To access the Socratic scratchpad feature, select Scratchpads in the drop-down menu in the top right of your screen.

When your scratchpad is in edit mode, the tool bar has a graphing feature that is the same as the graphing feature in answer a question mode. I have graphed `2^x`, below:

graph{2^x [-10, 10, -5, 5]}

For the bases other than e and 10, you must use the base conversion formula `log_b(x) = ln(x)/ln(b)` or `log_b = log_10(x)/log_10(b)`

In the graphed, below, I have graphed `log_2(x)` by entering `ln(x)/ln(2)`

graph{ln(x)/ln(2) [-10, 10, -5, 5]}

If you must graph by hand here are a few order pairs:

For `2^x`: `(-3,1/8),(-2,1/4),(-1,1/2),(0,1),(1,2),(2,4), and (3,8)`
For `log_2(x)`: `(1/8,-3),(1/4,-2),(1/2,-1),(1,0),(2,1),(4,2), and (8,3)`