Activity 4.1 Functions from Patterns

3

Identify which sequence(s) have a pattern of add 7. Mark all that apply.

2

Drag the sequences that have a linear (adding or subtracting) pattern.

5, 10, 20, 25, 35, ...
80, 60, 40, 20, ...
10, 20, 30, 40, ...
1, 2, 4, 8, 16, ...
1, -2, -5, -8, -11, ...
2, 4, 6, 8, 10, ...

Linear Pattern
Not Linear

2

Complete the table given the function f(x) = 6x - 5

2

Complete the table given the function f(x) = -2x + 31

2

What is the pattern of the table?

Show how you got your answer.

1

What is f(0) (starting value/0-term) of the function? HINT: GO BACK ONE

2

Write a function from the given table. f(x) = mx + b

2

Write a linear function from the table.

In the show your work box, show how you got your answer.

1

What is the pattern?

1

What is the f(0)?

1

Write the function.

1

What is the pattern?

1

What is f(0)?

1

Write the function.

1

What is the input if the output is 7?

1

What is the pattern?

1

What is the f(0)?

1

Write the function.

1

What is the output if the input is -2?

1

What is the pattern?

1

What is f(0)?

1

Write the function.

1

What is the output if the input is 10?

A taxi charges $4 per ride plus $2 for each mile driven. 

1

Write a function?

1

Complete the table and graph.

1

If the taxi drove 12 miles, what would be the charge for the ride?

1

Activity 4.1 Functions from Patterns

Identify which sequence(s) have a pattern of add 7. Mark all that apply.

Drag the sequences that have a linear (adding or subtracting) pattern.

Complete the table given the function f(x) = 6x - 5

Complete the table given the function f(x) = -2x + 31

What is the pattern of the table?Show how you got your answer.

What is f(0) (starting value/0-term) of the function? HINT: GO BACK ONE

Write a function from the given table. f(x) = mx + b

Write a linear function from the table. In the show your work box, show how you got your answer.

What is the pattern?

What is the f(0)?

Write the function.

What is the pattern?

What is f(0)?

Write the function.

What is the input if the output is 7?

What is the pattern?

What is the f(0)?

Write the function.

What is the output if the input is -2?

What is the pattern?

What is f(0)?

Write the function.

What is the output if the input is 10?

Write a function?

Complete the table and graph.

If the taxi drove 12 miles, what would be the charge for the ride?

Identify which sequence(s) have a pattern of add 7. Mark all that apply.

Drag the sequences that have a linear (adding or subtracting) pattern.

Complete the table given the function f(x) = 6x - 5

Complete the table given the function f(x) = -2x + 31

What is the pattern of the table?Show how you got your answer.

What is f(0) (starting value/0-term) of the function? HINT: GO BACK ONE

Write a function from the given table. f(x) = mx + b

Write a linear function from the table. In the show your work box, show how you got your answer.

What is the pattern?

What is the f(0)?

Write the function.

What is the output if the input is 13?

What is the input if the output is 73?

What is the pattern?

What is f(0)?

Write the function.

What is the output if the input is 10?

What is the input if the output is 7?

What is the pattern?

What is the f(0)?

Write the function.

What is the output if the input is -2?

What is the input if the output is -29?

What is the pattern?

What is f(0)?

Write the function.

What is the input if the output is 64?

What is the output if the input is 10?

Write a function?

Complete the table and graph.

If the taxi drove 12 miles, what would be the charge for the ride?

If the charge was $38, how many miles did the taxi travel for the ride?

What is the output if the input is 13?

What is the input if the output is 73?

What is the output if the input is 10?

What is the input if the output is -29?

What is the input if the output is 64?

If the charge was $38, how many miles did the taxi travel for the ride?

What is the pattern of the table?

Show how you got your answer.

Write a linear function from the table.

In the show your work box, show how you got your answer.

What is the pattern of the table?

Show how you got your answer.

Write a linear function from the table.

In the show your work box, show how you got your answer.