Review Functions

Front

What is a function in mathematics?

Back

A function is a relation where every input has exactly one output.

Front

Which of the following is a function? {(1,2), (2,3), (3,4), (4,5)} or {(1,2), (1,3), (2,4)}?

Back

{(1,2), (2,3), (3,4), (4,5)} is a function because each input has one output.

Front

What is the output of the function f(x) = 2x + 3 when x = 5?

Back

f(5) = 2(5) + 3 = 10 + 3 = 13.

Front

If a relation has two ordered pairs with the same first element but different second elements, is it a function?

Back

No, it is not a function because a function cannot have multiple outputs for the same input.

Front

Write the equation of a function that represents a scenario where a person earns $10 for each hour worked, starting with $50.

Back

y = 10x + 50, where y is the total amount earned and x is the number of hours worked.

Front

What does the vertical line test determine?

Back

The vertical line test determines 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 is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

If f(x) = 3x - 4, what is f(2)?

Back

f(2) = 3(2) - 4 = 6 - 4 = 2.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1,2), (1,3), (2,4)} because the input '1' has two different outputs.