Are You Having Fun(ction)?
Am I a function?
What's my function?
Function Notation
Domain & Range
Miscellaneous
(Challenge?)
(Challenge?)
The "Real" world
100
This word is used to describe the set of all inputs for a function.
The Domain
100
No, not a function. It does not pass the vertical line test.
100
f(-3) if f(x) = 2x +1
What it -5 ?
100
The value a(w) represents the total amount Madison has saved, in dollars, at the end of week w.
What does the function a(6) = 200 mean in this context?
After six weeks, Madison will have saved 200 dollars.
100
Find the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is {-2, 3, 2}?
100
f(n)=2n+1
g(n)=3n
Find f(5)+g(2)
f(5) + g(2) = 17
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
200
This word is used to describe the set of all outputs of a function.
Range
200
Yes
200
Let f(x) = x2 + x + 1; find f(-5).
What is 21?
200
The value a(w) represents the total amount Madison has saved, in dollars, at the end of week w.
What does the function a(7) < a(8) mean in this context?
Madison has saved less money during week 7, compared to week 8.
200
Find RANGE:
y>=-1
200
What is the RANGE of the situation?
{0,20,40,60,80,100,120}
200
Consider the function d(n)= 0.55n, which estimates the number of high school students who use technology every day for schoolwork. The input n is the number of students.
What is the value of n if d(n) = 550?
AND
What does it mean in this context?
d(n) = 550
n = 1000
If the number of students is 1000, it is estimated that 550 of them use technology every day for schoolwork.
300
This word describes any set of ordered pairs where each x-value is paired with one y-value.
Function
300
The mapping diagram shows a function or not.
No, not a function
300
Based on the graph of the function, what is f(4)?
f(4) = -2
300
The value a(w) represents the total amount Madison has saved, in dollars, at the end of week w.
What does the function a(8) > a(9) mean in this context?
At the end of week 8, she had more money saved than at the end of week nine. (She probably bought something)
300
Find DOMAIN:
all real numbers
(neg infinity, pos infinity)
300
f(x)=x^2+1
g(x)=2x-5
Find
f(x)-g(x)
x^2-2x+6
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 tunnel. How long would it take him to dig to -50 meters?
18.696 minutes
400
How do you determine if a GRAPH is a function or not?
Vertical line test (OR if x has multiple y-values)
400
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
No, because the input (x) of 2 has two different outputs (y)
400
Evaluate this function for P(x)=-998
F(x)=-1/2x^2+5x+2
P(50)=-998
400
The total cost of making x items, in dollars, is represented by c(x).
What does the statement 0 < x ≤ 150 mean in this context?
The number of items made is greater than 0, but less than or equal to 150.
400
Find the DOMAIN:
-5<=x<=8 or (-5,8]
400
Anna drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h(t) = -5t^2 + 45
Evaluate h(2). Enter your answer as a number.
25
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 the equation
H(s)= 10s+3
. If the platform is 50 meters high, how long does it take the unicorn to reach the platform?
4.7 seconds
500
What is the rule about x when it comes to functions? (The phrase that Ballay likes to use about x)
X cannot cheat on Y
500
Is this a function and why?
No, because x's repeat at 8
500
Find f(4) =
0
500
The total cost of making x items, in dollars, is represented by c(x).
Use function notation to write the following statement:
The cost of making 75 items is greater than the cost of making 50 items.
c(75) > c(50)
500
Find the RANGE:
-3<=y<=2
500
f(x) = 4x + 1 and g(x) = 4x - 3
Find
f(x) * g(x)
16x^2 - 8x - 3
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