Compare Two Functions by Analyzing an Equation and a Table

This video tutorial teaches how to compare two functions by analyzing an equation and a table. It explains the numeric representation of functions through tables and the algebraic representation through equations. The video highlights the importance of understanding the constant rate of change and common mistakes made when calculating it. Real-world examples, such as recycling programs in California and Michigan, are used to illustrate these concepts. The tutorial also covers function characteristics, including one-to-one relationships, and reiterates how to calculate the rate of change using tables.

What is a common mistake when checking the constant rate of change in a table?

• Checking both x and y values

• Ignoring the table completely

• Only checking the change in y values

• Only checking the change in x values

In the California soda can example, what is the constant rate of change?

• 10 cents per can

• 2 cents per can

• 15 cents per can

• 5 cents per can

How much money do you get for recycling three cans in Michigan?

• 30 cents

• 40 cents

• 20 cents

• 10 cents

What defines a function in terms of input and output?

• Inputs and outputs are unrelated

• Each output has multiple inputs

• Each input has exactly one output

• Each input can have multiple outputs

What is the constant rate of change if the change in y is -6 and the change in x is 3?

• -2

• 2

• -3

• 3