Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a relation is a function. If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What does f(1) mean?

Back

f(1) means to evaluate the function f at the input value of 1, which involves substituting 1 into the function's equation.

Front

If f(x) = 2x + 1, what is f(2)?

Back

f(2) = 2(2) + 1 = 5.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

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

Front

What does it mean if a mapping is a function?

Back

A mapping is a function if each input is associated with exactly one output.

Front

If f(x) = 3x - 4, what is f(0)?

Back

f(0) = 3(0) - 4 = -4.

Front

What is an independent variable in a function?

Back

The independent variable is the input variable (usually x) that can be freely chosen.