Domain, Range, End Behavior
Interpreting Functions
Transformations
100
How do you write this in interval notation?
(-3, 5]
100
What is the max and min of this function?
(y / f(x) values)
Max: 4
Min: -4
100
What does the h parameter do?
translates left or right
200
How do you write this in inequality (or set) notation?
-3 < x < 5
or
{ x | -3 < x < 5}
200
How many turning points does this function have?
2
200
what does the k parameter do?
translates up or down
300
What is the domain and range?
D: [0,10]
R: [220, 800]
300
Along which interval(s) is this graph increasing? (Write in terms of input/x-values)
-∞ < x <-3
and
1 < x < ∞
300
What does the 1/b parameter do?
Horizontal compression or stretch
bonus: and if negative, reflection across the y-axis
400
What is the end behavior of this graph?
As x --> ∞, f(x) --> ∞
As x --> -∞, f(x) --> -∞
400
Along which interval(s) is this graph decreasing?
(Write in terms of input/x-values)
90< x < 270
400
What is a, b, h, and k?
g(x) = f(x-7) + 6
a = 1
h = 7
k = 6
500
State the end behavior of the function f(x)
(in the proper structure)
As x --> infty , f(x)--> infty
As x --> - infty , f(x) --> infty
500
500
What are the transformations made to f(x) below:
g(x)=f(x+4)-3
1) Horizontal translation left 4 units
2) Vertical translation down 3 units