Graphing y=-3^x | Summary and Q&A

19.7K views
November 22, 2016
by
blackpenredpen
YouTube video player
Graphing y=-3^x

TL;DR

This content explains how to graph the exponential function y = -3^x using a table of values.

Install to Summarize YouTube Videos and Get Transcripts

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 x-axis?

The graph never crosses the x-axis 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 x-axis 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 x-axis.

Share This Summary 📚

Summarize YouTube Videos and Get Video Transcripts with 1-Click

Download browser extensions on:

Explore More Summaries from blackpenredpen 📚

Summarize YouTube Videos and Get Video Transcripts with 1-Click

Download browser extensions on: