Function Notation Practice

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 does f(1) represent?

Back

f(1) represents the output of the function f when the input is 1.

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

What is the horizontal line test?

Back

The horizontal line test is used to determine if a function is one-to-one. If a horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

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

Back

f(1) = 3.

Front

If f(x) = -3x - 8, what is f(-1)?

Back

f(-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 (f(x) or y-values) that the function can produce.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the output of a function for a given input?

Back

To find the output of a function for a given input, substitute the input value into the function's equation and simplify.