Vocabulary
Function or Not a Function?
Domain/Range
Graphs
Sequence Formula
Function Mix
100
The set of x values in a relation
what is the domain
100
{(0,1) (2,4) (-3, 6) (4, 9) (-1, 0)}
Function
100
Domain: {-2, 0, 1, 3}
Range: {-3, 1, 3, 4}
100
Continuous or discrete
discrete
100
Find the common difference...
-30, -40, -50, -60, …
d = -10
100
Using the function notation f(x)=x+15, find f(8).
f(8)=23
200
The set of y-values of a relation
what is the range
200
Relation, not a function
0 repeats (0,-2) and (0, -1)
200
Domain: {-4, -1, 0, 2, 3}
Range: {1, 2, 3}
200
Continuous or discrete
Continuous
200
Given the explicit formula, find the given term for the following arithmetic sequence:
an=-7.1+2.1n
Find a35
a35 = 66.4
200
Using the function notation g(x)=|x|+10, find g(-4).
g(-4)=14
300
A graph that is not connected and is just points
what is a discrete graph
300
Relation, not a function
x=0 repeats
300
Domain:
[-7,5)
Range:
[-3,1)
300
Relation or function
function
300
Given the first term and the common difference of an arithmetic sequence; find the first five terms.
a1=28, d=9
28, 37, 46, 55, 64
300
A plumber charges $96 an hour for making house calls to do plumbing work for one day. What are the domain and range of this function? P(h) = 96h (h = hours worked; P = plumber’s bill)
D: {all real numbers: 0<h<=12} R: {all real numbers: 0<P<=1152}
*Assume the max is a 12 hour work day.
400
A graph that is connected by lines or curves
what is a continuous graph
400
Relation, not a function
the domain of -2 repeats
400
Domain:(-infinity, infinity)
R
Range: [-6, infinity)
y>=-6
400
The test we use to determine is a graph is a function
what is the vertical line test
400
Write an explicit formula for the following sequence.
2, 7, 12, 17, …
hint: an = a1 + d(n-1)
an = -3+5n
400
Rental cars at ABC Rental Car Company cost $100 to rent, plus $1 per mile. What are the domain and range of this function assuming only full miles are charged? M(d) = d + 100 (d = distance traveled; M = money spent)
D: {all integers: d>=0} R: {all integers: M>=100}
500
A special type of relation that for each input there is exactly one output
what is a function
500
Function
500
Domain: [-3,2)
-3<=x<2
Range:[-5,4]
-5<=y<=4
500
Does the graph match the story? "Mary tracked her heart rate while on a run. She started out slow and then got faster over time. The graph represents her heart rate over time."
No, the graph does not match the story.
500
Use the recursive rule to find the first five terms.
an=-13+an-1 if a1=6
6, -7, -20, -33, -46
500
Laura is selling cookies to raise funds for a school club. Each cookie costs $0.50. What are the domain and range of this function? M(c) = 0.5c (c = number of cookies sold; M = money made)
D: {all whole numbers} R: {0, 0.50, 1.00, 1.50,...}