Exploring Functions in Algebra 1

This video tutorial covers the basics of functions, including the definition and identification of functions using ordered pairs and the vertical line test. It explains the concepts of domain and range, and how to determine them from graphs. The tutorial also discusses independent and dependent variables, using a practical example of a function representing juice consumption. The video encourages viewers to practice identifying these concepts and provides a structured approach to understanding functions in mathematics.

What is a function?

• A relation where each output can have multiple inputs

• A relation where each output has exactly one input

• A relation where each input can have multiple outputs

• A relation where each input has exactly one output

Which of the following is NOT a function?

• (4, 0) and (4, 3)

• (1, 2) and (2, 3)

• (3, 4) and (4, 5)

• (0, 5) and (1, 6)

What does the vertical line test determine?

• If a graph represents a function

• If a graph is continuous

• If a graph is increasing

• If a graph is decreasing

Which graph passes the vertical line test?

• A graph where a vertical line intersects at four points

• A graph where a vertical line intersects at two points

• A graph where a vertical line intersects at three points

• A graph where a vertical line intersects at one point

What is the domain of a function?

• The set of all possible output values

• The set of all negative values

• The set of all possible input values

• The set of all positive values

What is the range of a function?

• The set of all negative values

• The set of all positive values

• The set of all possible input values

• The set of all possible output values

For the graph with domain from -2 to 3, what is the range?

• -1 to 2

• 1 to 4

• 0 to 3

• -2 to 3

In the function y = -3x + 12, what is the independent variable?

• y

• 12

• x

• -3

In the function y = -3x + 12, what is the dependent variable?

• x

• 12

• -3

• y

If you take 3 gulps, how many ounces of juice remain in the bottle?

• 12 ounces

• 9 ounces

• 6 ounces

• 3 ounces