Functions

Front

What is a function?

Back

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

Front

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function.

Front

What is the range of the function f(x) if f(x) ≥ 2?

Back

The range of the function is all values of f(x) that are greater than or equal to 2.

Front

Is the graph of a vertical line a function?

Back

No, a vertical line is not a function because it fails the vertical line test.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if each input is paired with 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).

Front

What is the range of a function?

Back

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

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

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

Back

f(2) = 2(2) + 3 = 7.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has one output x^2.