Reciprocal Function Evaluations

The video tutorial explains how to graph the reciprocal function y = 1/x, highlighting the importance of choosing appropriate x values to avoid complex decimals. It discusses the concept of division by zero, which results in undefined values, and introduces the idea of asymptotes, lines that the graph approaches but never touches. The tutorial provides a step-by-step guide to calculating y values for various x values and graphing the function, emphasizing the characteristic shape of the reciprocal function and its asymptotic behavior.

What happens when you try to divide by zero in mathematics?

• You get a very large number

• The result is zero

• It is undefined

• You get a negative number

Why is the point where x equals zero undefined in the reciprocal function?

• Because it results in a positive number

• Because division by zero is undefined

• Because it results in a negative number

• Because it results in a fraction

Why is it important to choose specific x-values when graphing the reciprocal function?

• To make the graph colorful

• To make the graph look symmetrical

• To avoid complex decimals

• To ensure all values are positive

What is the value of 1 divided by negative 4?

• -4

• 0.25

• -0.25

• 4

What is the value of 1 divided by negative 0.5?

• 0.5

• -0.5

• 2

• -2

What is the value of 1 divided by negative 1?

• 2

• 1

• -1

• 0

What is the value of 1 divided by negative 2?

• 2

• -0.5

• 0.5

• -2

What is the value of 1 divided by negative 0.25?

• -0.25

• -4

• 0.25

• 4

What is the value of 1 divided by negative 8?

• -0.125

• 0.125

• -8

• 8

What is the value of 1 divided by negative 0.125?

• -0.125

• 8

• 0.125

• -8