Identifying Functions

Front

What is a function?

Back

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

Front

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

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Identify if the following relation is a function: {(1,2), (2,3), (1,4)}

Back

Not a function, because the input 1 has two outputs (2 and 4).

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

Given the relation R={(3,5), (4,5), (3,6)}, is it a function?

Back

No, because the input 3 has two outputs (5 and 6).

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

The output is 11, calculated as f(4) = 2(4) + 3 = 11.

Front

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

Back

The first set {(1,2), (2,3), (3,4)} is a function.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph at more than one point.

Front

If a function has the ordered pairs {(2,3), (3,4), (4,5)}, what is the domain?

Back

The domain is {2, 3, 4}.