How to graph an exponential equation with a table of values

The video tutorial explains how to use tables to graph equations, focusing on creating a table of values and calculating Y values by plugging in X values. It covers the domain and range of logarithmic functions, emphasizing the use of simple numbers for ease of calculation. The tutorial also discusses graphing points, analyzing results, and understanding transformations, including vertical shifts and asymptotes. The video concludes with a recap of the key concepts and methods discussed.

What is the primary benefit of using a table of values when graphing an equation?

• It eliminates the need for an X&Y axis.

• It simplifies the graphing process by providing coordinate points.

• It restricts the choice of X values.

• It allows for precise calculations.

Why is it suggested to keep the choice of X values simple?

• To ensure the graph is accurate.

• To make the graph look symmetrical.

• To avoid complex calculations.

• To use only positive numbers.

How is the Y value calculated once an X value is chosen?

• By dividing the X value by the Y value.

• By plugging the X value into the equation.

• By multiplying the X value by a constant.

• By adding a fixed number to the X value.

What is the result of 3 raised to the negative second power?

• 1/27

• 1/9

• 1/3

• 1/81

What is the significance of using both positive and negative X values in graphing?

• To ensure the graph is balanced.

• To make calculations easier.

• To understand the graph's behavior on both sides.

• To avoid using fractions.

What is the new asymptote after the graph is shifted vertically?

• y = 0

• y = 1

• y = 3

• y = 2

What is the range of the graph after the transformation?

• From 2 to Infinity

• From 1 to Infinity

• From 3 to Infinity

• From 0 to Infinity