Introduction:
What is a Function and How Can We Use It?
A function is a rule that connects an input to an output.
You can imagine it like a factory conveyor belt:
This particular function is f(x) = x + 3.
Whatever you decide to be the input,
this function will add three to it
and spit it out the other side.
We call the input "x."
and the output "f(x)" or "y."
"f(x)" can be interpreted as "a function acting on 'x.'"
Let's put 5 into this function machine. What do you think will happen?
The function machine:
Whatever you decide to be the input,
this function will add three to it
and spit it out the other side.
We call the input "x."
and the output "f(x)" or "y."
"f(x)" can be interpreted as "a function acting on 'x.'"
Let's put 5 into this function machine. What do you think will happen?
The function machine:
What if I put 5 into the function again? Could I get a different answer?
What if I put 11 into the machine?
What if I put 11 into the machine?
What would be the output if I put 10 into the function? What about 17? What about -20?
Notebook:
Classwork & Homework:
CCSS.Math.Content.8.F.A.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.