Domain
Transformations
Sequences and Series
Piecewise Functions
d or r?
Functions
100
What is domain of the function
f(x)=4/(x-8)
x \ne 8
100
How is the parent function
y=x^2
translated vertically to turn into the equation
f(x)=(x-3)^2+2
2 units up
100
What is the missing term in the arithmetic sequence
2,6,10,14,a_5
18
100
9
100
What is the common difference of the sequence
1,4,7,10,13,...
d=3
100
Given that f(x)=x+3 find
f(2)
5
200
What is the domain of the function. Write your answer in interval notation.
g(x)= 3x^2
(-\infty, \infty)
200
How is the parent function
y=x^2
translated horizontally to turn into the equation
f(x)=(x-3)^2+2
3 units to the right
200
Find the next term in the geometric sequence
\frac{1}{4}, -1,4,-16,...
64
200
-5
200
What is the common ratio of the sequence
1,2,4,8,16,...
r=2
200
Given the function f(x)=3x-5, find f(1).
-2
300
What is the domain of the function. Write your answer in interval notation.
g(x)=\sqrt{x+5}
[-5,\infty)
300
How is the parent function
y=x^2
stretched vertically to turn into the equation
f(x)=2(x-3)^2+2
by a factor of 2
300
Find the missing terms in the arithmetic sequence
100,a_2,a_3,40
80, 60
300
8
300
What is the common ratio of the sequence
64,16,4,1,\frac{1}{4},...
r=\frac{1}{4}
300
Given the function f(x)=x^2+3 , find
f(-2)
7
400
What is the range of the relationship? Use interval notation.
-1\leqy\leq5
400
How is the parent function
y=|x|
translated vertically to turn into the equation
f(x)=|x-8|-3
3 units down
400
Find the missing terms in the geometric sequence
1,a_2,a_3,125
5 and 25
400
7
400
What is the common difference of the series
\sum_{i=1}^20 4i+5
d=4
400
Given the function f(x)=|2x+1|+1 , find
f(-1)
2
500
What is the domain of the function? Write your answer in interval notation.
[-6,\infty)
500
The graph of the function above can be written in form
f(x)=a|x-h|+k
What is the value of
h?
2
500
Find the missing terms
-\frac{1}{6},1,a_3,36
-6
500
-8
500
What is the common ratio of
\sum_{i=3}^25 8^{i+1}
r=8
500
Given the function f(x)=x^3+x, find
f(-2)
-10