#### Transcript of NOW-NEXT Equations & Input-Output Tables

**NOW-NEXT Equations & Input-Output Tables**

NOW-NEXT to Sequences

Given a NOW-NEXT equation and a starting number, we can create sequences!

Given:

START: 4

NEXT = NOW + 5

Write the sequence!

4, 9, 14, 19, 24...

Input-Output Tables

VIDEO TIME!

Remember this one? Make sure you shout out the answers when it's time!

Sequences to NOW-NEXT

To create a NOW-NEXT equation, you need to know two things:

- Where your sequence starts

- How to get to the next number

NEXT = NOW - a number

OR

NEXT = NOW divided by a number

NEXT = NOW + a number

OR

NEXT = NOW x a number

Try writing a NOW-NEXT equation for this sequence:

4, 16, 64, 256...

Try writing a NOW-NEXT equation for this sequence:

20, 15, 10, 5...

Try writing a NOW-NEXT equation for this sequence:

-12, -9, -6, -3...

Try writing a NOW-NEXT equation for this sequence:

80, 40, 20, 10...

Try this one!

Given:

START: 6

NEXT = NOW - 3

Write the first 5

terms of the sequence!

Try this one!

Given:

START: -2

NEXT = NOW x -3

Write the first 5

terms of the sequence!

Try this one!

Given:

START: 6

NEXT = NOW - 3

Write the first 5

terms of the sequence!

.

.

Try this one!

Given:

START: -14

NEXT = NOW + 6

Write the first 5

terms of the sequence!

Linear equations, like y = 4x +5, can be expressed in

input-output tables.

Even though there are an infinite number of inputs, we can choose a few to create a table (and, eventually, a graph).

Create an input-output table for

the linear function y = 2x -7.

Can you figure out the linear function for this input-output table?

Create an input-output table for the linear function y = -5x +3.

See if you can figure out the linear function for the following input-output table!

Identifying Functions

func·tion (\fəŋ(k)-shən\) -

A set of numbers in which each input has a unique output. The important thing is that

NO X-VALUES REPEAT!

Graphs must pass the vertical line test!

Input-output tables have

no repeating x-values!

Function maps only have one arrow

coming from each x-value!

Is this a function? Why?

Is this a function? Why?

Is this a function?

Why?

Is this a function?

Why?

GREAT JOB!

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