A function is like a mathematical machine, you put in a number and it gives you exactly one number back. If you put in the same number multiple times, you will always get the same number out.
An example of a function is the rule "double the input and add 1".
The rule that defines a function is often written in the form
For example, the function "double the input and add 1" can be written
Let's break down what this expression says:
The LHS names the function f, and then f(x) means "when you input x into the function f"
The RHS defines the rule, and essentially says "the output is twice the input, plus 1".
A function can be evaluated for specific values of x by plugging the value into the expression of the function.
A function diagram shows how a set of inputs is mapped to a set of outputs with arrows pointing from inputs to outputs.
Multiple arrows can point to the same output, but each input must have exactly one arrow, since a function always gives the same output for a given input.
The inputs and outputs of a function can be represented in a table where one row shows inputs, and the other shows outputs:
To find f(some value), look for that value in the first row, then look at the row below it. For example, f(11)=2.
Nice work completing Functions and their properties, here's a quick recap of what we covered:
Exercises checked off
A function is like a mathematical machine, you put in a number and it gives you exactly one number back. If you put in the same number multiple times, you will always get the same number out.
An example of a function is the rule "double the input and add 1".
The rule that defines a function is often written in the form
For example, the function "double the input and add 1" can be written
Let's break down what this expression says:
The LHS names the function f, and then f(x) means "when you input x into the function f"
The RHS defines the rule, and essentially says "the output is twice the input, plus 1".
A function can be evaluated for specific values of x by plugging the value into the expression of the function.
A function diagram shows how a set of inputs is mapped to a set of outputs with arrows pointing from inputs to outputs.
Multiple arrows can point to the same output, but each input must have exactly one arrow, since a function always gives the same output for a given input.
The inputs and outputs of a function can be represented in a table where one row shows inputs, and the other shows outputs:
To find f(some value), look for that value in the first row, then look at the row below it. For example, f(11)=2.
Nice work completing Functions and their properties, here's a quick recap of what we covered:
Exercises checked off