Function Tables
Input (x) values 0, 2, 4; Function Rule: x + 3 ; What are the 3 Output Values?
3, 5, 7
x y
1 2
2 4
3 6
4 8
5 10
Function rule: 2x
a number is less than 5
x < 5
Graph x < 3
GRAPH - your partner will check your answer
The Luck Dragons that live in the Enchanted Forest weigh 4x pounds when they are x years old. Make a table of values to show the weights of 6-year-old, 8-year-old, and 10-year-old Luck Dragons.
24,32, 40 years
If a function rule is 4 – x, what is the output for the input 2?
2
At least 2,500 people attended the convention.
x > (with a line underneath) 2500
x is greater than or equal to 2500
Her earnings were no more than $64.
x ≤ 64 GRAPH (check your partners answer)
Function Rule: 3x – 1 ; Output (y) 14 8 5 ; What are the 3 Input Values?
5, 3, 2
If a function rule is 2x – 3, what is the output for the input 3?
3
Total donations at the fair failed to reach $500. Write and graph an inequality that represents the amount raised.
x < 500
Graph the Inequality k + 14 ≥ 22
k ≥ 8 (See Work) (check your partners answer)
Function Rule: x + 2 ; Output (y): 2 3 6 ; What are the 3 Input Values?
0,1,4
The first four numbers of a sequence are 3, 9, 27, and 81. If this sequence continues, what are the next two numbers? Is this an arithmetic or geometric sequence?
243, 729 ; Geometric sequence
Answer both questions: A checking-account balance is no more than $500. A maximum ceiling height of 8 feet was required in the new buildings.
x ≤ 500
x ≥ 8
In order to ride a roller coaster at the theme park, riders must be at least 52 inches tall. Write and graph an inequality to show the safe heights for riders.
x ≥ 52 GRAPH (check your partners answer)
A certain minivan has a maximum carrying capacity of 1,200 pounds. The luggage weighs 150 pounds. Write and solve an inequality to find the maximum weight allowable for passengers.
x + 150 ≤ 1,200 ; x ≤ 1,050 pounds
Input (x): Output (y): What is the function rule?
2 13
3 14
4 15
5 16
x + 11
A bacteria population increases every hour. At 12 p.m., there are 5 cells. At 1 p.m., there are 10 cells. At 2 p.m., there are 20 cells. At 3 p.m., there are 40 cells. If this patterns continues, how many cells will there be at 7 p.m.?
640 cells
Chantal would like to buy a new pair of running shoes. The shoes she likes start at $85. If she has already saved $62, write an inequality to show how much more money Chantal must save.
x ≥ 23
The speed limit on most state roads is 55 miles per hour. Write and graph an inequality to describe the legal speed on state roads.
x ≤ 55 GRAPH (check your partners answer)
Chris practices piano at least 45 minutes per day. He has already practiced 18 minutes. Write and solve an inequality to determine how much longer he will be practicing.
18 + x ≥ 45 ;
x ≥ 27 minutes