Are You Having Fun(ction)?
Am I a function?
What's my function?
Key Features of Graphs
Domain & Range
Miscellaneous
The "Real" world
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
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
5n+1
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.
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 RANGE:
y>=-1 [-1, infinity)
200
What is the RANGE of the situation?
{0,20,40,60,80,100,120}
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
300
how do you determine if a mapping is a function
each element in the domain only has one line drawn from it
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 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 tnnel. 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?
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 P(x)=-998
F(x)=-1/2x+2
P(2000)=-998
400
The y-intercept of the graph.
What is (0, 4)?
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 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
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 the RANGE:
-3<=y<=2 or (-3, 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