Understanding Functions and Graphs

What is the primary characteristic of a function in terms of x and y values?

• Each x-value corresponds to multiple y-values.

• Each x-value corresponds to exactly one y-value.

• Each y-value corresponds to multiple x-values.

• Each y-value corresponds to exactly one x-value.

Why is it important to label the axes on a graph?

• To clearly identify the variables being represented.

• To make the graph easier to draw.

• To ensure the graph is colorful.

• To make the graph look more professional.

What is the domain of a linear function that extends infinitely in both directions?

• Only integers

• All real numbers

• All negative numbers

• All positive numbers

For a linear function, what is the range if the graph extends infinitely up and down?

• All real numbers

• Only positive numbers

• Only negative numbers

• Only integers

In a parabola, what happens if two different x-values correspond to the same y-value?

• The y-value is not valid.

• It is still a function.

• It is not a function.

• The graph is incorrect.

What is the range of a parabola that does not go below y = -2?

• (-∞, ∞)

• [-2, ∞)

• [0, ∞)

• (-∞, -2]

What is the vertical line test used for?

• To determine the slope of a line.

• To find the domain of a function.

• To calculate the range of a function.

• To check if a graph is a function.

If a vertical line intersects a graph at two points, what can be concluded?

• The graph is a function.

• The graph is a linear function.

• The graph is not a function.

• The graph is a parabola.

What is a relation in terms of graphing?

• A graph that has no domain.

• A graph that may not be a function but still has a domain and range.

• A graph that is always a function.

• A graph that only has a range.

What will the next video focus on after this introduction to functions?

• Linear equations

• Advanced calculus

• Function notation

• Graphing techniques