PA Units 6-7 Mastery Check Lesson 1: Functions-Domain-Range

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean if a graph fails the vertical line test?

Back

If a graph fails the vertical line test, it means that there are at least two points on the graph that have the same x-value, indicating that it is not a function.

Front

Can a function have repeating x-values?

Back

No, a function cannot have repeating x-values. Each input must correspond to exactly one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for each x-value, there is a unique y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the set of points {(1,2), (1,3)}, where the input 1 corresponds to two different outputs.

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

Front

What is the range of the function f(x) = x^2?

Back

The range of the function f(x) = x^2 is all non-negative real numbers, or [0, ∞).