Graphing Exponential Functions and Identifying Y-Intercepts

The video tutorial covers graphing equations, focusing on identifying the y-intercept and determining whether an equation represents growth or decay. The instructor explains how to plot points on a graph by choosing values to the left and right of the y-intercept. The lesson emphasizes understanding the shape of the graph and the significance of the 'a' and 'b' values in the equation y = a * b^x.

What is the first step in graphing the equation y = a * b^x?

• Determine the slope

• Identify the y-intercept

• Identify the x-intercept

• Find the vertex

In the equation y = a * b^x, what does the 'a' represent?

• The exponent

• The x-intercept

• The y-intercept

• The slope

If 'b' in the equation y = a * b^x is greater than 1, what type of equation is it?

• Decay

• Linear

• Quadratic

• Growth

What is the value of 'b' in the example given in the video?

• 1/3

• 2

• 1/6

• 0.66

What is the y-value when x = 1 in the example provided?

• 1/3

• 2/3

• 1/6

• 2

What is the y-value when x = -1 in the example provided?

• 2

• 1/6

• 2/3

• 1/3

What is the purpose of choosing values to the right and left of the y-intercept?

• To determine the slope

• To find the vertex

• To identify the x-intercept

• To plot additional points on the graph

What is the decimal equivalent of 2/3?

• 0.66

• 0.5

• 1.5

• 0.33

What happens to the exponent when you have a negative power?

• It becomes positive in the denominator

• It doubles

• It becomes zero

• It remains the same

What are the final steps in graphing the equation?

• Identify the y-intercept and plot points to the left and right

• Find the x-intercept and plot it

• Determine the slope and draw the line

• Find the vertex and plot it