Factoring and Rational Expressions
Functions and Graph Features
Average Rate of Change
Limits and Nearby Behavior
Potpourri
100
The completely factored form of x^2-25
What is (x-5)(x+5) ?
100
The output value of f(5) given the function f(x) = x^2 - 3x
What is 10 ?
100
The slope of the line passing through the points (2,5) and (8,17)
What is 2 ?
100
Instead of asking about the value at a specific point, a limit investigates behavior in this location.
What is nearby (or surrounding/approaching) the point?
100
The name of the fictional town where Netflix's hit show Stranger Things takes place
What is Hawkins, Indiana?
200
The factored form of the trinomial x^2 - 7x + 12
What is (x-3)(x-4) ?
200
The composite function (f \circ g)(x) when f(x) = x^2 and g(x) = x - 7
What is (x-7)^2 ?
200
Graphically, the average rate of change between two points on a function represents the slope of this specific line
What is a secant line?
200
The value of \lim_{x \to 2} \frac{x^2 - 4}{x - 2} .
What is 4 ?
200
This person released the record-breaking album Midnights in 2022 and launched the historic Eras Tour
Who is Taylor Swift?
300
The input value that must be excluded from the domain of the expression \frac{x^2 - 16}{x - 4}
What is x=4 ?
300
The domain restriction in interval form for h(t) = \sqrt{t + 6}
What is [-6,infty) ?
300
The average velocity of a vehicle that travels 156 miles in 3 hours.
What is 52 mph?
300
The value of \lim_{x \to 3} h(x) for a function h(x) that has a hole at (3,7) and a filled point at (3,2) .
What is 7 ?
300
The full name of the dystopian country where The Hunger Games is set
What is Panem?
400
The simplified form of the rational expression \frac{x^2 + 2x - 15}{x^2 - 25}
What is \frac{x - 3}{x - 5} ?
400
The equation of y=f(x) after undergoing a transformation shifted 3 units right and 2 units down
What is f(x-3)-2 ?
400
The average rate of change for f(x) = x^2 + 1 on the interval [1, 4]
What is 5 ?
400
The value that \frac{\sin x}{x} approaches as x gets infinitely close to 0 .
What is 1 ?
400
In Marvel's Avengers: Endgame, This is the specific five-word phrase that Tony Stark's daughter Morgan uses to tell him how much she loves him.
What is "I love you 3,000"?
500
The simplified result of the difference quotient \frac{(x+h)^2 - x^2}{h} when h \ne 0
What is 2x+h ?
500
The domain of the following graph shown, in interval notation: 
What is (-infty,3)uu(3,infty) ?
500
For f(x) = x^2 , the value that the difference quotient \frac{f(2+h) - f(2)}{h} approaches as h gets arbitrarily close to 0
What is 4 ?
500
The value of \lim_{x \to 2^-} \frac{abs(x-2)}{x-2} .
What is -1
500
This video game studio is responsible for creating the global cultural phenomenon Fortnite and developing the widely used Unreal Engine.
What is Epic Games?