Graphing y=3^x  Summary and Q&A
TL;DR
This content explains how to graph the exponential function y = 3^x using a table of values.
Questions & Answers
Q: How do you graph the exponential function y = 3^x without using parentheses or additional terms?
To graph y = 3^x, create a table of values by selecting different x values. Substitute each x value into the equation to obtain the corresponding y values. Plot these points on a graph and connect them to visualize the curve.
Q: What is the significance of selecting x = 0 as the first value in the table?
Selecting x = 0 as the first value allows us to determine the y value when x is not negative. In this case, when x = 0, y = 1. This value helps establish a reference point on the graph.
Q: Why does the graph of y = 3^x never cross the xaxis?
The graph never crosses the xaxis because the exponential function 3^x can never be equal to zero. Regardless of the value of x chosen, the y value will always be negative and unequal to zero.
Q: How does the graph change when negative x values are used in the table?
When negative x values are used, the y values will still be negative and decrease as x becomes more negative. The curve will approach the xaxis but never intersect it.
Summary & Key Takeaways

The content demonstrates how to create a table of values for the exponential function y = 3^x.

By selecting various x values and using the given equation, the corresponding y values are calculated.

Graphing the points from the table reveals the shape of the graph, which shows that the curve never crosses the xaxis.