Functions

Front

What is a function?

Back

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

Front

If f(x) = 3x - 9, what is f(5)?

Back

f(5) = 6

Front

Given the points (3, 5), (2, 4), (9, 0), and (?, 6), what value of ? creates a non-function?

Back

? = 3

Front

What is f(6) for the function f(x) = 3x - 8?

Back

f(6) = 10

Front

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

Back

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

What does it mean for a function to be one-to-one?

Back

A one-to-one function means that each output is produced by exactly one input.

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(0)?

Back

f(0) = 3