Identifying Functions Practice

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every input value (x), there is one and only one output value (y).

Front

Back

Front

What is the vertical line test?

Back

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

Front

Which of the following is a function? (Provide an example)

Back

Front

Identify if the following set of ordered pairs is a function: {(9,5), (10,5), (9,-5), (10,-5)}

Back

Not a function, because the input 9 has two different outputs (5 and -5).

Front

Identify if the following set of ordered pairs is a function: {(3,4), (4,-3), (7,4), (3, 8)}

Back

Not a function, because the input 3 has two different outputs (4 and 8).

Front

Identify if the following set of ordered pairs is a function: {(6,-5), (7, -3), (8, -1), (9, 1)}

Back

This is a function, as each input has a unique output.

Front

What is the definition of a domain in 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 definition of a range in a function?

Back

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

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, it is a function because each input has a unique output.