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
No
100
f(-3) if f(x) = 2x +1
-5
100
What is the maximum value for the graph?
6
100
Domain represents...? (choose either or)
X / Y
Input / Output
X, Input
100
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
5n+1
100
A movie ticket costs $8. Write a function for total cost (C) based on number of tickets (t).
C = 8t
200
This word is used to describe the set of all outputs of a function.
What is the range?
200
Yes
200
Let f(x) = x2 + x + 1; find f(-5).
21
200
The shaded region is increasing, decreasing, or constant.
Decreasing Interval
200
Is Range the Dependent Variable or the Independent Variable
Dependent. It depends on the Independent (the x values/Domain)
200
What is the RANGE of the situation?
{0,20,40,60,80,100,120}
200
A taxi charges $3 just to get in and then it charges $2 per mile. Write a function for total cost (C).
C = 2x + 3
Y = 2x + 3
300
What is the maximum value of a graph?
The largest (or highest) y-value of the graph
300
The mapping diagram shows a function or not.
No
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 the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is {-2, 3, 2}
300
f(x)=x^2+1
g(x)=2x-5
Find
f(x)-g(x)
x^2-2x+6
300
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
400
How do you determine if a GRAPH is a function or not?
Vertical Line Test
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
Find f(4) =
0
400
The y-intercept of the graph.
(0, 4)
400
Find RANGE:
y>=-1
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)= 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?
No, because x's repeat at 8
500
Evaluate this function for P(x)=-998
F(x)=-1/2x^2+5x+2
P(50)=-998
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 DOMAIN:
all real numbers
(neg infinity, pos infinity)
500
f(x) = 4x + 1 and g(x) = 4x - 3
Find
f(x) * g(x)
16x^2 - 8x - 3
500
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