Equation Maker
Create an equation that satisfies the given conditions
Passes through (2,5); Slope is 0
Y= 5
Rate of change is the same thing as what?
Slope
Give me the difference between a function and an equation
Equations can have more than one output, but an equation with only one output for every input is a function
A climber is on a hike. After 2 hours he is at an altitude of400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? (given ft= y, hrs=x)
100ft per hour or 300ft/3 hours
x= 2y
x+ y =3
(2,1)
Create an equation that satisfies the conditions
Passes Through (4,6) and (8,6)
What is rate of change?
Rise / Run
What is domain and range?
Domain are all the inputs that the functions accepts; Range are all the outputs that are produced
Create a problem for your opposing team. Give the team a (reasonable) time limit, if they don’t get the problem right you get the points. if they do get it, they steal the points!
:)
y = 3x - 1
4x + y = -8
(-1,-4)
create an equation that satisfies the conditions:
Passes through (8,-9), and the slope is undefined
x=8
How do find rate of change via a graph?
Pick two points, count the rise, then count the run
Provide an real world example of functions
Height is a function of age (how we describe things that one quantity depends on the other)
Michael started a savings account with $300. After 4 weeks, he had $350 dollars, and after 9 weeks, he had $400. What is the rate of change of money in his savings account per week?
Ten dollars every week
x - 2y = -2
7x - 3y = 19
(4,3)
Create an equation that satisfies the given conditions
Passes through (3,-2) and (5,6)
y= 4x -14
what is the actual algebraic equation for finding rate of change
Y2-Y1 Over X2- X1
Explain the vertical line test
used to determine whether a given relation is a function or not. every x-value of a function must be paired to a single y-value.
After 30 baseball games, A-Rod had 25 hits. If after 100 games he had 80 hits, what is his average hits per baseball game. Hint: Find the rate of change.
55/70
3x + 2y = 10
4x - y = 6
(2,2)
Create a problem for your opposing team. Give the team a (reasonable) time limit, if they don’t get the problem right you get the points. if they do get it, they steal the points!
:)
What type of functions have a constant rate of change?
Linear Functions!
Domain is all real numbers except when?
except when you input a number that makes the denominator zero AND when you input a number that makes the value under an even root negative
You are taking a road trip with your family, and according to your map, you have 275 miles to travel today. If you drive for 5 hours what is the average rate of change of your travel during the trip?
-275/-5
Or 55
7x + 2y = 24
8x + 2y = 30
(6, -9)