Function Notation

Front

What is function notation?

Back

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

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

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables in the equation and solve for y.

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 for two functions to be inverses of each other?

Back

Two functions are inverses of each other if applying one function followed by the other returns the original input value.

Front

If f(x) = 2x + 3, what is f(1)?

Back

f(1) = 2(1) + 3 = 5.

Front

What is the notation for the inverse of a function f?

Back

The notation for the inverse of a function f is f^(-1)(x).

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input value (x) corresponds to exactly one output value (y).

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph more than once, it is not a function.

Front

What is the significance of the x-intercept of a function?

Back

The x-intercept of a function is the point where the graph crosses the x-axis, indicating the value of x when f(x) = 0.