Are You Having Fun(ction)?
Am I a function?
Evaluating Functions
One to One or Many to One?
Domain & Range
Discrete or Continuous
Write the Function Rule
100
This word is used to describe the set of all inputs for a function.
What is the domain?
100
What is No, not a function? It does not pass the vertical line test.
100
f(-3) = 2x +1
f(-3) = ?
What is f(-3) = -5 ?
100
This is a function. Is it one to one or many to one?
What is many to one?
100
Find the DOMAIN:
{(-2, 4), (3, 2),
(2, 10)}
What is D:
{-2, 2, 3}?
100
The domain is time.
Is this discrete or continuous?
What is continuous (time has fractions and decimals).
100
Kendra has a box of chocolates with 20 pieces in it and eats 2 pieces each day.
m = change per day
b = Starting point
What is f(x) = 20 - 2x or y = -2x + 20
200
This word is used to describe the set of all outputs of a function.
What is the range?
200
What is Yes?
200
Let f(x) = 6x + 1; find f(-5).
What is
f(-5) = -29?
200
One to One or Many to One?
What is many to one: there are multiple points with the same y value.
200
Find the RANGE:
{(6,4), (-9,8),
( 7, 4)}
What is R: {4,8}
200
Is this data discrete or continuous? How do you know?
What is discrete? The dots are not connected since cakes are countable and cannot be donated in fractional pieces.
200
Pam has $135 in her bank account and adds $45 each month to save for a new bike.
m = change per month
b = starting point
What is f(x) = 135 + 45x or y = 45x +135 ?
300
Name 2 other terms that are synonyms for Domain
Input, x or Independent Variable
300
The mapping diagram shows a function or not.
What is No, not a function?
300
Based on the graph of the function, if f(x) = 3 then this is the corresponding x value.
What is x = 2 ?
(When y = 3, x = 2)
300
One to One or Many to One?
What is:
One to one since each y value is not repeated.
300
John earns $10 each hour at his job. The domain is represented by what variable?
What is hours?
300
The domain of a situation is # of dogs. The range is the total length of all the dogs.
Is this Discrete or Continuous?Why?
The DOMAIN is DOGS which are countable. Therefore, the data is DISCRETE
300
Jermaine had 300 ounces of cat litter and used 10 ounces each day.
m= change per day
b = starting point
What is f(x) = 300 - 10x or y=-10x+300 ?
400
How do you determine if a GRAPH is a function or not?
What is the Vertical Line Test?
400
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
What is No, because the domain of 2 has two different ranges 5 and 9
400
Evaluate this function for P(-4) if
P(x)=5x + 2
What is -18 ?
P(-4)=-18
400
One to One or Many to One?
{(2, 7), (4, 7), (6, 7), (7,7)}
What is:
Many to one since the y-value of 7 repeats.
400
James buys tickets to a concert that cost $20 each.
What are the first 3 realistic domain and range values for this situation?
Domain is # of tickets
D: {0, 1, 2...}
Range is total cost
R: {0, 20, 40...}
400
Domain: Temperature
Range: # of People at the Pool
Discrete or Continuous?
What is Continuous?
Temperature can be graphed as a continuous line.
Temperature measure can be broken into fractions, and those fractions can be divided infinitely.
400
Francie weighed 154 pounds and lost 6 pounds each month.
m = change per month
b = starting point
What is: f(x)= 154 - 6x or y = -6x + 154
500
This word describes any set of ordered pairs where each x-value is paired with one y-value.
What is a Function?
500
Is this a function and why?
What is no, because the range of 8 repeats?
500
Find f(x) =0. The corresponding x value(s) are...
What is x = -2 and x = 4
500
One to One or Many to One?
{(0,0), (1,1), (2,2), (3, 3)}
What is:
One to One since no x or y values repeat.
500
Daisy orders boxes of candles. There are 6 candles in each box.
What are the first three input and output values for the realistic domain and range?
Domain: # of boxes
D: {0,1,2...}
Range: Total number of Candles
R: {0, 6, 12 ...}
500
Create your own graph that would represent discrete data.
What is [graph] ?
Answers will vary. Host will be the judge.
500
Jake has a vintage car that is worth $45,000. Each year, it increases in value by $700.
The function rule is V(x) = 45,000 + 750x
What does V(x) represent?
What does x represent?
V(x) represents the total value of the car.
x represents the number of years.