Are You Having Fun(ction)?
Am I a function?
Evaluating Functions
What's my function?
Domain & Range
Discrete or Continuous
Graph What?
200
This word is used to describe the set of all inputs for a function.
What is the domain?
200
What is No, not a function? It does not pass the vertical line test.
200
f(-3) = 2x +1
f(-3) = ?
What is f(-3) = -5 ?
200
Evaluate:
f(x) = 2x +1 when x = -3
f(-3) = -5
200
Find the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is D: {-2, 2, 3}?
200
Discrete or Continuous?
The distance a baseball travels on a home run.
Continuous
200
Based on graph of the function, what is f(x) when x=2
f(3) = 2
400
This word is used to describe the set of all outputs of a function.
What is the range?
400
What is Yes?
400
Let f(x) = 6x + 1; find f(-5).
What is f(-5) = -29?
400
Evaluate:
f(x) = x^2 + x + 1 when x = -5
f(-5) = 21
400
Find the RANGE:
{(6,4), (-9,8), ( 7, 4)}
What is R: {4,8}
400
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.
400
Based on the graph of the function, what is f(x) when x=0?
f(0) = 4
600
No, vertical lines are not functions.
SNEAKY!!!
LOSE ALL YOUR POINTS!
600
The mapping diagram shows a function or not.
What is No, not a function?
600
Based on the graph of the function, if f(x) = 3 then this is the corresponding x value.
What is x = 2?
600
Evaluate:
f(x) = x2 - 2 when x = -2
f(-2) = 2
600
For the function f(x) shown below, over which interval is f(x) < 0?
-7<x<-1
600
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
600
Based on the graph of the function, what is f(x) when x=4?
f(-2)=4
800
How do you determine if a GRAPH is a function or not?
What is the Vertical Line Test?
800
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
800
TAKE ALL POINT FROM ANOTHER TEAM!
Evaluate this function for P(-4) if
P(x)=5x + 2
P(-4)=-18
800
Evaluate:
f(x) = 4x2 - 1 when x= -2
f(-2) = 15
800
If the function f(x) is defined by:
f(x)=x^2-5x+2
What is the value of x when f(x) = 8?
x= -1
800
Domain: Temperature
Range: # of People at the Pool
Discrete or Continuous?
What is Continuous?
Temperature can be measured and has fractions and decimals. Therefore the data is continuous.
800
Given:
f(x) = -x + 9, if f(x) = 10
x=-1
1000
This word describes any set of ordered pairs where each x-value is paired with one y-value.
What is a Function?
1000
Is this a function and why?
What is no, because the range of 8 repeats?
1000
Find f(x) =0. The corresponding x value(s) are...
What is x = -2 and x = 4
1000
If f(x) = 8 what is x if f(x) = 2x + 4
x = 2
1000
DOUBLE THE POINTS!
Find the average rate of change for function
f(x)= x^2-2x+3
over the interval:
-2<=x<=6
The average rate of change is 2.
1000
Discrete or Continuous?
The temperature on a summer day in a city.
Continuous
1000
TRIPLE THE POINTS!
If:
g(x) =3f(x)-8 and f(x) = 10-x^2
what is the value of g(-2)?
g(-2) = 10