Linear Functions
Quadratic Functions
Cubic Functions
Vocabulary
100
What makes a table "LINEAR"?
The First differences are the same.
100
How do you know if a table is quadratic?
the SECOND differences are the same
100
What is the X-Intercept(s)?
x=-3, -1, 2
100
What is the difference in y over the difference in x called?
rate of change/slope
200
What is the Function?
f(x) = -1.5x
200
What is the Function?
f(x) = x2 - x - 6
200
What is the common finite difference in this table?
1
200
What point on a quadratic graph contains both the axis of symmetry and the minimum/maximum value?
vertex
300
What is the domain and range as an interval?
domain [0, infinity)
range [-2, infinity)
300
What is the Vertex? Axis of Symmetry? and Minimum?
Vertex: (3,1)
Axis of Symmetry: x=3
Minimum: y=1
(notice anything?)
300
Find the input when f(x) = -2
x = -1, 2, 4
300
99% of the time the domain and range are restricted because of what?
negative numbers don't physically exist in the real world
400
The admission fee for a carnival is $5.00 and the games each cost $1.50 to play. If Sarah goes to the carnival and spends $17.00, how many games did she play?
8
400
The power generated by an electrical circuit (in watts) as a function of its current, x (in amperes), is modeled by:
P(x)=-12x2+120x
What current will produce the maximum power?
5 amps
400
a = 2
b = 0
c = 0
d = -7
f(x) = 2x3 - 7
400
In a cubic function, how many solutions are possible?
3
500
The data collected shows how many calories are burned depending on how long a person exercises. Adam think the function rule should be f(x) = 6.3x + 21. Matt thinks the function rule should be f(x) = 6.3x + 14. Who has the better function?
To determine who has the closest function, find the percent of error for each function if a 30 minute exercise actually burns 206 calories.
Matt's
500
James measured the length of a board but had a ±4.1% error. If his experimental length of the board is 66.3 inches, what are the two possible values for actual measurements?
63.7 inches or 69.1 inches
500
What is the domain and range in interval form?
Domain: (-3, 1]
Range: [-4, 0)
500
When you predict one thing and your friend predicts another, and the data shows something different, what do you determine to see who's right?
find the percent error