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
If f(n)=2n3 + 1 is then transformed to f(n)=2n3 + 7, then it has been transformed how?
What is shifted up 6 units?
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 if y = (x + 2)^.5 - 1
y>=-1 [-1, infinity)
200
What is the RANGE of the situation?
{0,20,40,60,80,100,120}
200
Mrs. Ballard drops an egg from a height of 13 feet to see if it would break. D(x) = -16x2 + 14x + 13 models the path of the egg. Mrs. Booker thought it would be fun to see what happens if they increase the height of the drop by 17 feet. The new equation would be...
What is D(x) = -16x2 + 14x + 30 ?
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
The range of the Greatest Integer Functions is...
What is the set of integers?
300
When the greatest integer function is transformed to
y = 5[3x] then it has been transformed how?
What is vertically stretched by 5 and horizontally compressed by 1/3?
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
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 from a step 2 feet above the ground; this is modeled by the equation
H(s)= 10x+2
. If the unicorn were to double its rate, the new equation would be _____ and the transformation to H(s) described as _______.
What is H(s) = 20x + 2 and the transformation would be a vertical stretch by 2?
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) = 2(x-3)^2 + 12
Describe the transformations of f(x).
What is vertically stretched by 2,
shifted right 3 and up 12
500
Find the RANGE:
-3<=y<=2 or (-3, 2]
500
If f(x) = |2x| - 10 is transformed to
f(x) = 3|2(x+8)| + 10,
a vertical shift of this amount was applied.
What is a shift up by 20 units?
500
If a cell phone is dropped off the top of the Empire State building, the path of the phone can be modeled by the function H(r)=-1/2r^2+350 where r is the time the phone spends in the air in seconds and H(r) is the height of the phone. How tall is the building?
350 feet