Intervals & Bounds
The Family Tree (Functions)
Transformations
Matrix and lines
Misc
100
Represent the inequality
x \ge 12
using interval notation.
[12, \infty)
100
Identify the function family for $f(x) = \frac{2}{3}x - 5$.
Linear
100
Describe the transformation from
f(x) to $(x) - 10
Shift down 10
100
Convert the system 3x - 2y = 10 and x + y = 5 into an augmented matrix.
3 -2 10
1 1 5
100
This 2023 film starring Margot Robbie became the highest-grossing movie directed by a woman.
Barbie
200
True or False: The notation (-3, 3) includes the numbers -3 and 3.
False
200
What is the parent function for any "V-shaped" graph?
Absolute Value
200
Write a function g that translates
f(x) = x^2
four units to the left.
g(x) = (x+4)^2
200
If you are solving a system and reach the statement
0 = 5, what is the solution?
No Solution
200
If you are very happy, you are said to be "on" this numerical cloud.
Cloud 9
300
Write the inequality for the set of all real numbers greater than -4 and less than or equal to 8.
-4 < x\le8
300
Identify the domain and range of the constant function f(x) = 12.
Domain: ARN
Range: y=12
300
Write a function g that reflects
f(x) = |x|
across the x-axis
f(x) = -|x|
300
Find the slope of a "line of fit" that passes through
(0, 5) and (10, 25)
m = 2
300
This company's name is a play on the mathematical term for a 1 followed by 100 zeros.
400
Write the inequality represented by the interval
(-\infty, 5]
x \le 5
400
Identify the parent function for
g(x) = -2(x + 5)^2 - 1
Quadratic
400
Describe the transformation of
f(x) = x^2
represented by
g(x) = 4(x)^2
Vertical Stretch by a factor of 4
400
Write an equation of the line
y=8x+3
400
This Finnish company was the world's largest vendor of mobile phones in the late 1990s.
Nokia
500
A graph has an open circle at -2, a closed circle at 10, and a line connecting them. Write this in interval notation.
(-2, 10]
500
What is the range of the parent absolute value function
f(x) = |x|
y\ge0
500
A function
f(x) = 3x + 1
is vertically shrunk by a factor of
\frac{1}{3}
. Write the new function g(x).
f(x) = x + \frac{1}3
500
x=2
y=3
z=-4
500
This thought experiment asks if an object that has had all of its components replaced remains fundamentally the same object.
What is the Ship of Theseus?