Are You Having Fun(ction)?
Am I a function?
What's my function?
Key Features of Graphs
Input and Output
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 x = -3, what is y = 2x +1
What it -5 ?
100
What is the maximum value for the graph?
6
100
Find the output:
{(-2, 4), (3, 2), (2, 10)}
What is {4,2, 10}?
100
y=10n+24
What is the slope?
10/1
100
A chipmunk eats his store of winter acorns at a constant rate of 5 a day. Using the function y= -5x+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 y = x2 + x + 1; find x = -5.
What is 21?
200
The shaded region is increasing, decreasing, or constant.
Decreasing Interval
200
Find the input:
{(-2, 4), (3, 2), (2, 10)}
{(-2,3,2)}
200
What is the Independent Variable of the situation?
Cakes sold
200
When Mrs. Hulett flew her new broomstick 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 y=14000+2x where y is the cost of the broomstick and x is the number of years. What is the broomsticks initial price?
14000 dollars
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 x=4?
-2
300
Where is the slope 0 for this graph?
[2,5]
300
What is the input when the output is 1?
0
300
Is cakes sold a function of profit or is profit a function of cakes sold?
Profit is a function of cakes sold.
300
Mr. Mole left his burrow and starting digging a new tunnel. The function that models his industrious activity is given as
y= -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 2x+3y=6. What is the function in slope-intercept form?
y=-2/3x+2
400
The y-intercept of the graph.
What is (0, 4)?
400
What is the output when x = 2? y=2/x+3
y = 4
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 + 45
Evaluate t = 14. 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
y= 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 y when x = 4
0
500
y = 10x-1/2
What is the initial value of the following function?
-1/2
500
What is the output when x = -2
6
500
If y = 3x+2, what is y when x = 1/2
3.5
500
If a rabbit hops off the top of the Empire State building, the path of the rabbit can be modeled by the function y=-1r+5r+350 where r is the time the rabbit spends in the air in seconds and y is the height of the rabbit. How tall is the building?
350 feet