Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

Which of the following is a function? W, X, Y, Z

Back

Z is a function.

Front

What are the zeros of a function?

Back

The zeros of a function are the x-values where the function's output (y-value) is zero.

Front

Find the zero(s) of the function: f(x) = x^2 - 9. What are the zeros?

Back

x = -3 and x = 3.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each x-value is paired with only one y-value.

Front

Is this table a function? (Example: (1,2), (1,3), (2,4))

Back

Not a Function, because the x-value 1 has two different y-values.

Front

What is a mapping in the context of functions?

Back

A mapping shows how each input is paired with an output.

Front

Is this mapping a function? (Example: 1 -> 2, 1 -> 3)

Back

Not a Function, because the input 1 is paired with two different outputs.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

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

Back

A relation is a function if each input has exactly one output.