Identifying Functions

What is a mapping diagram?

• A visual representation of a function showing input-output pairs.

• A type of graph used to plot data points.

• A diagram that illustrates the steps in a mathematical proof.

• A chart that lists all possible functions.

How can you identify a function from a set of ordered pairs?

• A set of ordered pairs is a function if no x-value is repeated with different y-values.

• A set of ordered pairs is a function if all y-values are unique.

• A set of ordered pairs is a function if the x-values are in ascending order.

• A set of ordered pairs is a function if it contains at least one pair with the same x-value.

Can a function have the same y-value for different x-values?

• No, a function cannot have the same y-value for different x-values.

• Yes, a function can have the same y-value for different x-values, as long as each x-value has only one y-value.

• Yes, a function can have multiple y-values for the same x-value.

• No, each x-value must have a unique y-value.

What does it mean if a relation is not a function?

• A relation is not a function if at least one x-value is paired with more than one y-value.

• A relation is not a function if all x-values are unique.

• A relation is not a function if it contains only one y-value for each x-value.

• A relation is not a function if it is represented by a straight line.

Which of the following is a function? {(2,3), (3,4), (2,5)}

• It is a function, as each x-value has a unique y-value.

• Not a function, because the x-value 2 has two different y-values (3 and 5).

• It is a function, as there are no repeated pairs.

• It is a function, because all y-values are different.

If a relation has the pairs {(1,2), (2,3), (3,4)}, is it a function?

• Yes, it is a function because each x-value is paired with exactly one y-value.

• No, it is not a function because there are multiple y-values for some x-values.

• Yes, it is a function because it contains only unique pairs.

• No, it is not a function because it does not follow the vertical line test.

Can a function be represented in multiple ways?

• Yes, a function can be represented as an equation, a table, a graph, or a set of ordered pairs.

• No, a function can only be represented as an equation.

• Yes, but only as a graph or a table.

• Yes, but only as a set of ordered pairs.

What is a function?

• A function is a relation where each input (x-value) has exactly one output (y-value).

• A function is a type of equation that has multiple outputs for a single input.

• A function is a graphical representation of data points without any specific relationship.

• A function is a mathematical operation that can only be performed on integers.

What is the definition of an ordered pair?

• An ordered pair is a pair of numbers (x, y) where x is the first element and y is the second element.

• An ordered pair is a single number that represents a point in space.

• An ordered pair is a collection of three numbers that define a triangle.

• An ordered pair is a pair of letters used in algebraic expressions.

What is the vertical line test?

• A method to determine if a graph represents a function by checking if a vertical line intersects the graph at more than one point.

• A technique used to find the slope of a line on a graph.

• A way to measure the area under a curve in calculus.

• A test to determine if a graph is symmetrical about the y-axis.