8-1 Function Tables
Essential Question
How are symbols, such as 2, 2, and useful?
-An equal sign can be used when finding the output of a function table. It can also find the next term of a sequence.
What will we learn today?
• To find the output for a function table
• To find the input for a function table
• The function rule defines the relationship between each input and output
• Function table organizes the input and output values and the function rule
• Independent variable = input
• Dependent variable = value of the output depends upon the input value
ex. The output is 6 more than the input. Complete a function table for this relation.
Input (x) x + 6 Output (y)
0+6
1 7
2 8
ex. The output is 3 times the input.
Input (x) x-3 Output (y)
10 7
8 5
5 2
-Now graph the function.
8-2 Function Rules
What will we learn today?
-Rules can be found by looking for arithmetic or geometric sequences.
-Arithmetic sequence = can be found by adding the same number to the previous term.
-Geometric sequence = each term is found by multiplying the previous term by the same number.
ex. Describe the relationship between the terms 4, 7, 10, 13. What are the next three terms and what sequence is used?
4, 7, 10, 13, 16
Add 3 to the previous term. - Arithmetic
8-3 Functions and Equations
What will we learn today?
-To write an equation to represent a function
-To graph linear functions
-Write an equation to represent the function
Y = 12x
A runner's distance in a marathon is equal to 8 miles per hour times the number of hours
Equation: d = 8h
8-4 Multiple Representations of Functions
What will we learn today?
- To represent functions using:
• Words and equations
• Tables and graphs
A pig's average heart rate is about 70 beats per minute. Write an equation to find the total amount of heartbeats b in m minutes.
Equation: b = 70m
8-5 Inequalities
What will we learn today?
- Inequalities might have more than one solution
- Inequalities use the symbols <, >, ≤, and ≥
- Inequality = a mathematical sentence that compares quantities
ex. Of the numbers 3, 4, or 5, which is a solution of the inequality m+9 >13?
-Replace in with each of the numbers.
· m +9 > 13.
3+9 > 13
12 > 13 False
4+9 > 13
13 > 13
5 + 9 > 13
False
· m+9 > 13
14 > 13 True
So, since the #5 is the only value that is true, 5 is the solution to the inequality.
8-6 Write and Graph Inequalities
What will we learn today?
-To write inequalities
-To graph inequalities
Write an inequality to represent "It costs more than $5 to ride the Ferris wheel"
inequality: C> $5
