Function or Not?

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

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

Is the relation (2,3), (3,4), (2,5) a function?

Back

No, it isn't a function because the x-value 2 repeats with different y-values.

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where x is the input and y is the output.

Front

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

Back

(1,2), (2,3), (3,4) is a function because all x-values are unique.

Front

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

Back

The output is 11.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the range of a function?

Back

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

Front

What is the domain of a function?

Back

The domain is the set of all possible inputs (x-values) of a function.

Front

If a function is defined as f(x) = x^2, what is f(3)?

Back

f(3) = 9.