Lesson 5 Don’t Break the Chain Solidify Understanding

Ready

The same sequence is shown in both a table and a graph. Indicate on the table where you see the rate of change of the sequence. Then draw on the graph where you see the rate of change.

1.

a scatter graph with a positive slope 555101010555101010151515000

2.

a scatter graph with a negative slope 555101010555101010151515000

3.

a scatter graph with a negative slope –5–5–5555101010–5–5–5555101010151515000

4.

a scatter graph with a positive slope –5–5–5555101010555101010151515000

Set

In the next problems, you are given various types of information. Write the recursive and explicit functions for each geometric sequence. Finally, graph each sequence, making sure you clearly label the axes.

5.

, , , ,

Recursive:

Explicit:

a blank 17 by 17 grid

6.

Claire has in an account. She decides she is going to take out half of what’s left in there at the end of each month.

Recursive:

Explicit:

a blank 17 by 17 grid

7.

day one has 6 dots, day 2 has 12 dots, and day 3 has 24 dots Day 1Day 2Day 3

Recursive:

Explicit:

a blank 17 by 17 grid

Use the middle column in each of the given tables to write the process or number patterns that relate the input to the output. Then create both a recursive and explicit function rule.

8.

a.

Process

b.

Recursive:

Explicit:

9.

a.

Process

b.

Recursive:

Explicit:

Go

For the following problems, two points are given. Plot and label these points on the graph. Then connect the points, draw a right triangle to represent the slope, and determine the slope.

10.

and

a blank 17 by 17 grid

Slope:

11.

and

a blank 17 by 17 grid

Slope:

12.

and

a blank 17 by 17 grid

Slope:

Find the slope, , and the -intercept, , for each line. Then write an equation for the line.

13.

The graph of a line on a coordinate plane. The line goes up to the right, passing through the points (-1, -1) and (0, 2). x–2–2–2222y–2–2–2222000

Equation:

14.

The graph of a line on a coordinate plane. The line goes down to the right, passing through the points (-1, 3) and (0, -1). x–2–2–2222y–2–2–2222000

Equation:

15.

The graph of a line on a coordinate plane. The line goes up to the right, passing through the points (0, -3) and (5, 0). x222444666y–2–2–2222000

Equation:

16.

The graph of a line on a coordinate plane. The line goes down to the right, passing through the points (0, 4) and (8, 0). x222444666888y222444000

Equation: