Graphing Exponential Functions Concepts

This video tutorial covers graphing equations by plotting points, specifically using the equation y = 2^x. It explains how to calculate ordered pairs by substituting x values into the equation, plot these points on a Cartesian plane, and sketch the resulting graph. The tutorial also includes a demonstration of verifying the graph using a graphing calculator, ensuring accuracy of the plotted points and the overall graph.

What is the first step in graphing the equation y = 2^x?

• Calculate the y-intercept.

• Determine the axis of symmetry.

• Find the slope of the line.

• Substitute x values to find y values.

If x = -3, what is the corresponding y value for the equation y = 2^x?

• 1

• 1/2

• 1/4

• 1/8

How do you simplify 2 raised to the power of -2?

• 4

• 1/4

• 1/2

• 2

What is the ordered pair for x = 0 in the equation y = 2^x?

• (0, 0)

• (0, 1)

• (0, 4)

• (0, 2)

Why is the horizontal axis sketched lower than usual?

• To fit more points on the graph.

• To accommodate negative x values.

• Because there are no negative y values.

• To make the graph look symmetrical.

What is the y value when x = 3 for the equation y = 2^x?

• 4

• 10

• 6

• 8

Which ordered pair corresponds to x = 4?

• (4, 8)

• (4, 14)

• (4, 12)

• (4, 16)

What is the purpose of using a graphing calculator in this lesson?

• To calculate the x-intercepts.

• To find the slope of the graph.

• To determine the axis of symmetry.

• To verify the plotted graph.

What is the decimal equivalent of the output for x = -3?

• 0.25

• 0.75

• 0.5

• 0.125

What should be the Y-max setting on the graphing calculator for this graph?

• 16

• 12

• 10

• 18