Are You Having Fun(ction)?
Am I a function?
What's my function?
Key Features of Graphs
Domain & Range
The "Real" world
Coordinate Plane
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) if f(x) = 2x +1
What it -5 ?
100
What is the maximum value for the graph?
6
100
Find the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is {-2, 3, 2}?
100
A chipmunk eats his store of winter acorns at a constant rate of 5 a day. Using the function E(a)= -5a+60 find how long before he eats half of his stash.
6 days
100
The direction you go first when graphing (3, 2).
Right
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) = x2 + x + 1; find f(-5).
What is 21?
200
The shaded region is increasing, decreasing, or constant.
Decreasing Interval
200
Find the DOMAIN:
1<=x<=10
200
When Mrs. Hulett flew her new brookstick off the lot she had just paid $14,000. Every year it appreciates in value by 1/4 of it's original price. Using the function C(t)=14000(1+.25)^x where C is the cost of the broomstick and t is the number of years. How many years until the broom is worth more than $50,000?
6 years
200
The name of the ordered pair (0,0)
What is the origin?
300
What is the maximum value of a graph?
The largest y- value of the graph.
300
The mapping diagram shows a function or not.
What is No, not a function?
300
Based on the graph of the function, what is f(4)?
f(4) = -2
300
What is the first increasing interval for this graph?
[-4,-2]
300
Find the RANGE:
-2<=y<=7
300
Mr. Mole left his burrow and starting digging a new tunnel. The function that models his industrious activity is given as
F(x)= -2.3x-7
where x is the time in minutes and F is the depth of his tnnel. How long would it take him to dig to -50 meters?
18.696 minutes
300
What is the location of the star?
What is (-1, -5)?
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 input (x) of 2 has two different outputs (y)?
400
Evaluate this function for x=20
F(x)=-1/2x^2+5x+2
F(20)=-98
400
The y-intercept of the graph.
What is (0, 4)?
400
Find RANGE:
y>=-1 [-1, infinity)
400
A unicorn starts climbing a ladder to a 50 meter platform. The unicorn climbs at a rate of 10 meters/sec, this is modeled by th equation
H(s)= 10x+3
. If the platform is 50 meters high, how long does it take the unicorn to reach the platform?
4.7 seconds
400
The names and symbols of the sections in the coordinate plane
Quadrants I, II, III and IV
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 x's repeat at 8?
500
Find f(4) =
0
500
f(x) = 2x^2 + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].
2
500
Find DOMAIN:
all real numbers
(neg infinity, pos infinity)
500
If a rabbit hops off the top of the Empire State building, the path of the rabbit can be modeled by the function H(r)=-1/2r^2+5r+350 where r is the time the rabbit spends in the air in seconds and H(r) is the height of the rabbit. How tall is the building?
350 feet
500
Which Quadrant does (-5, 0) lie in?
None, it lies on the x-axis