Graphing Exponential Functions: Key Concepts and Techniques

The video tutorial introduces students to graphing exponential functions, specifically y = 2^x. It guides through generating a table of values using specified x values, plotting these points on a graph, and understanding the domain and range of the function. A practice problem is provided for further learning.

What is the first step in graphing an exponential function?

• Drawing the coordinate axes

• Identifying the domain and range

• Generating a table of values

• Plotting the points on the graph

If x is -1 in the function y = 2^x, what is the value of y?

• 2

• 1

• 1/2

• 0

What is the value of y when x is 0 in the function y = 2^x?

• 2

• 1

• 4

• 0

What is the ordered pair for x = 1 in the function y = 2^x?

• (1, 4)

• (1, 0)

• (1, 2)

• (1, 1)

What is the y-value when x is 2 in the function y = 2^x?

• 2

• 8

• 16

• 4

How should the x-axis be positioned when graphing the function y = 2^x?

• At the top

• At the right

• In the center

• In a lower position

What should you do after generating the table of values for an exponential function?

• Identify the domain and range

• Plot the points on the graph

• Solve for x

• Find the y-intercept

What is the domain of the exponential function y = 2^x?

• 0 to infinity

• Negative infinity to infinity

• Negative infinity to 0

• 1 to infinity

What is the range of the exponential function y = 2^x?

• 0 to infinity

• 0 to 1

• 1 to infinity

• Negative infinity to infinity

What is the function given in the practice problem?

• y = x^3

• y = 3^x

• y = 2^x

• y = x^2