Function vs Nonfunction Graphs

What is an example of a non-function?

• y = x^2

• y^2 = x

• y = 2x + 3

• y = 3

What is the domain of a function?

• The set of all possible output values (y-values).

• The set of all possible input values (x-values).

• The range of the function.

• The maximum value of the function.

How can you tell if a graph is not a function?

• A graph is not a function if any vertical line intersects it at more than one point.

• A graph is not a function if it has a curve.

• A graph is not a function if it is a straight line.

• A graph is not a function if it has no points.

What is a one-to-one function?

• A function where each output is paired with exactly one input.

• A function that can have multiple outputs for a single input.

• A function that is always increasing or decreasing.

• A function that maps every input to the same output.

In a graph, which values run up and down?

• 'x' values

• 'y' values

• 'z' values

• 'a' values

What does the vertical line test determine?

• It determines if a graph represents a function.

• It measures the slope of a graph.

• It identifies the maximum point of a graph.

• It calculates the area under the graph.

What is a mapping in relation to functions?

• A mapping shows how each element of a set (domain) is paired with an element of another set (range).

• A mapping is a graphical representation of a function's output values.

• A mapping is a method to calculate the area under a curve.

• A mapping is a technique used to solve differential equations.

What is an example of a function?

• y = 2x + 3, where each x-value has a unique y-value.

• y = x^2 + 1, which is a quadratic function.

• y = 3, which is a constant function.

• y = 1/x, which is a rational function.

What does it mean for a table to represent a function?

• A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

• A table represents a function if it contains at least two outputs for each input.

• A table represents a function if all inputs are unique.

• A table represents a function if it has more rows than columns.

What is a non-function?

• A relation where each input has exactly one output.

• A relation where at least one input has more than one output.

• A function that is not defined for certain inputs.

• A relation that does not have any inputs.