Vocabulary
The y-coordinate of the point where a graph crosses the y-axis
Vertical line test
Look at slide 7
Answer: Anne, $210
Look at Slide 12
Answer: Non Function
Rick can drive 21 miles per gallon of gas. Write a function..
Answer: y = 21x
Look at Slide 22
M=-3/2
First coordinate of an ordered pair in a relation
Input
Look at slide 8
Answer: Function A
Look at Slide 13
Answer: Function
Sam offers to shovel snow for $15 per hour in his
Neighborhood. Write a function to represent his
Money earned for, x number of hours.
Function: _______________________
If Sam works for 4.5 hours how much does he make?
Answer: y = 15x, $67.50
Look at Slide 23
Answer: $3.75
Maps each input to one and only one output
Function
Comparing Functions
$300
A farmer grows peppers and tomatoes.
The tomatoes grow at a rate of h = 1/2w – 4, w is the number of weeks and h is the height of the plant.
The peppers grow 6 inches below ground and increase 1 inch in height each week.
Which plant is planted deeper in the ground?
Answer: Peppers
Look at Slide 14
Answer: Non-Function
Karli received $220 in cash gifts for her fourteenth
birthday. She plans to save $15 a month from her
babysitting job to add to her birthday money.
Write a function to represent Karli’s total savings
balance (y) after (x) number of months.
Answer: y = 15x + 220
Write an equation of the line that passes through (3, -2) with m=-2.
Formula being used to solve
Add numbers that are provided to solve for b
y=mx+b
-2=-2(3) + b, b=4
A linear equation is y= mx + b, where m is the slope of the line and (0, b) is the y-intercept
Slope- Intercept Form
Look at Slide 10
Answer: Seth, he pays $29.99 no matter how many times he goes
Look at Slide 15
Answer: Function
You average 65 mph on your travels to summer
Vacation. Write a function to represent the number of miles travelled (y) in (x) number of hours.
Function: _____________________
If your trip took 6.5 hours, how many miles did you travel? _________________
Answer: y = 65x, 422.5 miles
Write an equation of the line that passes through (3, -2) with m=-2.
Formula being used to solve
Add numbers that are provided to solve for b
y=mx+b
-2=-2(3) + b, b=4
A visual way to determine if a graph represents a function
Vertical Line Test
Look at Slide 11
Answer: Package A is cheaper by $19
Look at Slide 16
Answer: Non Function
Timmy signed up for a new TV service. They charged a $50 one time installation fee and $35 per month for service.
Write a function for the total cost for any number of months. Function: ______________
How much would 2 years of service cost? _____
Answer: y = 50 + 35x, $890
Look at Slide 26
Answer: a, 10 per hour
b. y = 10x + 14
c. $14 is the start up fee plus $10 per hour mowing.