**Linear Function Rap**

...that's all you need to pass the Linear Function test.

x

y

1

1

3

0

5+7=

(cc) image by anemoneprojectors on Flickr

2

3

5

7

A starting point

and where

to go next

How do you write that as a Recursive Rule?

Well, start with the starting point, 'cause you're no fool!

Then after that first term, write down what to do

To your previous answer, and the next ones too.

A(0) = 1

A(n) = A(n - 1) + 2

What does Linear look like when seen on a table?

It starts where x is zero and that's no fable.

Then it goes up steadily, a constant rate of change.

Rise over run—that's not so strange!

+2

+2

+2

rise = 2

+1

+1

+1

run = 1

rise = 2

run 1

How does a Linear Function appear on a graph?

“Linear” means a “straight line”, so easy you could laugh!

Start where x is zero, on the y-axis it lies,

Then that “rate of change” tells how steeply it will rise

rate

of change

start

A Linear Equation tells all you need to know:

The starting point, of course, then where you need to go.

“Y = mx + b” says BEGIN at “b”, that’s where,

Then “m”, the rate of change, tells which way to MOVE from there!

y = mx + b

y = slope * x + start

y = 2x + 1

A starting point... and where to go next,

That's all you need to pass the Linear Function test.

A starting point

A starting point

A starting point

A starting point

and where to go next

and where to go next

and where to go next

and where to go next

That's all you need to pass the Linear Function test.

That's all you need to pass the Linear Function test.

That's all you need to pass the Linear Function test.

That's all you need to pass the Linear Function test.

a = 1

a = a + 2

0

n-1

n