Understanding Functions and Their Representations

This video tutorial explains how to connect different representations of functions using a graph and table. It guides viewers through completing a table of values by referring to a graph, determining the formula for the function K of n, and describing the relationship between input and output variables. The function K of n is identified as squaring the input value.

What is the main focus of the lesson in part four?

• Learning about calculus

• Connecting different representations of functions

• Solving equations

• Understanding geometry

Where do we find the inputs on a graph?

• On the circular axis

• On the vertical axis

• On the diagonal axis

• On the horizontal axis

What is the output when the input is -3 according to the graph?

• Negative 9

• Zero

• Positive 3

• Positive 9

What are the coordinates of the point when the input is -2?

• (-2, 2)

• (-2, 0)

• (-2, 4)

• (-2, -4)

What is the ordered pair when the input is zero?

• (0, 1)

• (0, 9)

• (0, 0)

• (0, -1)

What is the output when the input is 2?

• Positive 2

• Positive 4

• Negative 4

• Zero

What is the relationship between the inputs and outputs in the function K(n)?

• The output is the input plus 2

• The output is the input minus 2

• The output is the input squared

• The output is the input divided by 2

What is the formula for K(n)?

• K(n) = 2n

• K(n) = n^2

• K(n) = n - 2

• K(n) = n + 2

How can the function K(n) be described in words?

• It doubles the input

• It adds 2 to the input

• It squares the input

• It subtracts 2 from the input

What is the output when the input is 3?

• Positive 9

• Positive 6

• Zero

• Positive 3