Graphing Equations by Plotting Points

This video tutorial covers graphing equations by plotting points, focusing on the equation y = 2^x. It begins with calculating outputs for positive X values, identifying patterns in the table, and then moves to calculating outputs for negative X values, explaining properties of exponents. Finally, it demonstrates plotting these points on a Cartesian plane, emphasizing the pattern of outputs approaching zero but never reaching it.

What is the equation used in this lesson to graph equations by plotting points?

• y = 2x

• y = x^2

• y = 2^x

• y = x/2

What is the output when the input is 2 using the equation y = 2^x?

• 4

• 2

• 16

• 8

What pattern is observed in the outputs as the input increases by one?

• Multiply by 2

• Subtract 2

• Divide by 2

• Add 2

What is the output when the input is 0 using the equation y = 2^x?

• 1

• 2

• 0

• 4

What is the property of exponents that states a nonzero base raised to the power of zero equals?

• Two

• One

• Negative one

• Zero

What is the output when the input is -1 using the equation y = 2^x?

• 1/2

• 1

• 2

• 4

What happens to the outputs as the inputs decrease by one?

• They multiply by 2

• They add 2

• They divide by 2

• They subtract 2

What is the output when the input is -2 using the equation y = 2^x?

• 1/4

• 1/2

• 1

• 2

How are the axes set up on the Cartesian plane for this graph?

• Horizontal by 1s, Vertical by 2s

• Horizontal by 4s, Vertical by 2s

• Horizontal by 1s, Vertical by 4s

• Horizontal by 2s, Vertical by 4s

What is the behavior of the graph as the inputs decrease?

• Crosses the horizontal axis

• Approaches zero but never reaches it

• Increases indefinitely

• Becomes negative