Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by parentheses containing the input variable, e.g., f(x).

Front

What does f(x) = 2x + 1 represent?

Back

This is a linear function where the output is determined by multiplying the input x by 2 and then adding 1.

Front

If f(x) = 4, what is the value of x in f(x) = 2x + 1?

Back

x = 3/2.

Front

What is the vertical line test?

Back

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

What is a mapping in the context of functions?

Back

A mapping shows how each element of a set (domain) is paired with an element of another set (range).

Front

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

Back

If any input (x-value) in the table corresponds to more than one output (y-value), it is 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) that the function can produce.

Front

Can a function have the same output for different inputs?

Back

No, a function must have a unique output for each input.