Graphing Exponential Functions in Algebra 1

In this video, Justin teaches how to graph exponential functions using equations and tables. The lesson covers understanding the equation's components, predicting graph behavior, and using tables to plot points accurately. An example problem is provided to reinforce the concepts, focusing on identifying the y-intercept and growth rate, and understanding the common ratio in exponential functions.

What is the purpose of using a table when graphing exponential functions?

• To simplify the equation

• To find the slope of the line

• To get exact points for the graph

• To determine the x-intercept

What should you do before starting to graph an exponential function?

• Calculate the slope

• Find the x-intercept

• Make predictions about the graph

• Simplify the equation

What does a growth rate greater than one indicate about the graph?

• The graph will have no y-intercept

• The graph will go up from left to right

• The graph will be a straight line

• The graph will go down from left to right

How can you make the exponent positive when evaluating the equation at negative x values?

• By adding the base to the exponent

• By moving the base down with the exponent

• By dividing the exponent by the base

• By subtracting the base from the exponent

What is the common ratio in an exponential function?

• The sum of consecutive x values

• The difference between consecutive y values

• The factor by which y values are multiplied

• The quotient of consecutive x values

Where can you find the a value on the graph of an exponential function?

• At the x-intercept

• At the y-intercept

• At the highest point of the graph

• At the lowest point of the graph

What should you do if a point does not fit on the graph when plotting?

• Ignore the point

• Change the equation

• Scale the axis to fit the point

• Use a different table

What is the first step in creating a graph for an exponential function?

• Find the x-intercept

• Simplify the equation

• Determine the slope

• Calculate the y values for a table

How can you use the b value to fill in the rest of the table efficiently?

• By adding the b value to each y value

• By multiplying the previous y value by the b value

• By subtracting the b value from each y value

• By dividing the previous y value by the b value

What does the b value represent in an exponential function?

• The x-intercept

• The common ratio

• The y-intercept

• The slope