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
What is the RANGE of the situation?
{0,20,40,60,80,100,120}
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, oo)
200
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
What is the meaning of 45 in the equation?
The height of window
200
At the Rio Carnival a street vendor's profit for selling colorful masks is given by
P(x)=-2x^2+80x-500
, where x represents the number of masks sold. If a vendor sold 25 masks, what was his profit.
250
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 DOMAIN:
all real numbers
(neg infinity, pos infinity)
300
The function h(x) represents the height (in feet) of a ball x seconds after it is thrown. If h(2)=64? Explain what this means in using the context of the function.
Two seconds after the ball was thrown, it was 64 feet in the air.
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+5x+2
P(50)=-998
400
The y-intercept of the graph.
What is (0, 4)?
400
Find the DOMAIN:
-5<=x<=8 or (-5,8]
400
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
5n+1
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)= 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
Find the x-intercepts?
f(x) = 2x^2 + 12x + 16
-2,-4
500
Find the RANGE:
-3<=y<=2 or (-3, 2]
500
f(x)=x^2+1
g(x)=2x-5
Find
f(x)-g(x)
x^2-2x+6
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. Approximately how long will it take the rabbit to hit the ground?
32 seconds