Exploring Functions: Vertical Line Test and Domain/Range

What is a function in terms of X and Y values?

• A relationship where each Y value corresponds to multiple X values.

• A relationship where each Y value corresponds to exactly one X value.

• A relationship where each X value corresponds to exactly one Y value.

• A relationship where each X value corresponds to multiple Y values.

Which of the following tables represents a function?

• Table where X=1 corresponds to Y=3 and Y=4.

• Table where X=1 corresponds to Y=7 and X=2 corresponds to Y=7.

• Table where X=2 corresponds to Y=4 and Y=7.

• Table where X=3 corresponds to Y=5 and Y=6.

How can you quickly identify if a set of ordered pairs is a function?

• Check if the product of X and Y values is constant.

• Check if any X values repeat.

• Check if any Y values repeat.

• Check if the sum of X and Y values is constant.

What is the domain of a function?

• All the Y values.

• All the X values.

• All the ordered pairs.

• All the unique values.

What is the range of a function?

• All the ordered pairs.

• All the unique values.

• All the X values.

• All the Y values.

What does the vertical line test determine?

• If a graph is linear.

• If a graph is symmetrical.

• If a graph is quadratic.

• If a graph represents a function.

If a vertical line touches a graph at two points, what does it indicate?

• The graph is linear.

• The graph is quadratic.

• The graph is not a function.

• The graph is a function.

Which of the following graphs is not a function?

• A complete circle.

• A linear graph.

• A parabolic graph.

• A hyperbolic graph.

What is the purpose of the algebra course mentioned in the video?

• To teach basic arithmetic only.

• To cover advanced calculus topics.

• To provide a comprehensive overview of algebra topics.

• To focus solely on graphing techniques.

Which topic is NOT covered in the algebra course overview?

• Basic arithmetic.

• Fractions.

• Calculus.

• Quadratic equations.