Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. For example, f(x) = 2x is a function.

Front

How can you represent a function using ordered pairs?

Back

A function can be represented as a set of ordered pairs (x, f(x)). For example, if f(2) = 4, then (2, 4) is an ordered pair.

Front

What does f(2) = 4 mean?

Back

It means that when the input is 2, the output of the function f is 4.

Front

Given f(x) = -4x - 10, how do you find x when f(x) = 10?

Back

Set -4x - 10 = 10 and solve for x. The solution is x = -5.

Front

Which of the following is a function: (9,5) (10,5) (9,-5) (10,-5) or (6,-5) (7,-3) (8,-1) (9,1)?

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because it does not repeat x-values.

Front

What is the vertical line test?

Back

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

Front

What is the result of f(x) * g(x) if f(x) = 4x + 8 and g(x) = x + 3?

Back

The result is 4x² + 20x + 24.

Front

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

Back

It means that at least one input is associated with more than one output.

Front

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

Back

Substitute the input value into the function's equation and simplify to find the output.

Front

What is an example of a non-function relation?

Back

The set of ordered pairs (1, 2), (1, 3) is a non-function because the input 1 has two different outputs.