Cantaslope
What the Function?!
Transformers
There's No Beginning, There's No End... Cause it's a Circle...
Colors that End in 'Urple'
100
Slope is often used to represent a rate of this.
What is change.
100
This is any set of ordered pairs (not necessarily a function).
What is a relation.
100
f(x) -5 represents this kind of transformation.
What is a vertical shift down (5 units).
100
In the standard form of a circle, (x-h)^2 + (y,k)^2 = r^2, the point (h,k) represents this.
What is the center of the circle.
100
Name a color that ends in "urple"
What is purple.
200
The slope between these two points is this. (-3, 5) and (6, 2)
What is - 1/3
200
The point at which a function reaches its highest value within a given interval is called this.
What is relative maximum.
200
g(x - 3) represents this kind of transformation.
What is a horizontal shift to the right (3 units).
200
If I have two points on the edge of a circle that are directly across from each other, I can use this formula to determine the location of the center.
What is the midpoint formula.
200
Name another color that ends in "urple." Just kidding... If two functions are inverses of each other, the composition of the functions, both f(g(x)) and g(f(x)) will both equal this.
What is x.
300
When slope is negative on a given interval, the function is said to be this.
What is decreasing.
300
In order to determine if a function has an inverse by looking at its graph, I can do this kind of test.
What is the Horizontal Line Test.
300
y = - f(x) indicates this kind of transformation.
What is a reflection about the x-axis.
300
Both the distance formula and the standard for of the equation of a circle are derivations of this.
What is Pythagorean Theorem
300
When determining the domain of a function, it will be the set of all real numbers unless there is an x under an even root or in this.
What is the denominator.
400
If you were to write a linear equation to represent your car's distance traveled in miles as a function of gallons of gasoline used, the slope of your function would represent this.
What is gas mileage (in mpg).
400
Real life situations that involve abrupt changes at different points in the domain can be modeled by this type of function. One example may be the cost of your cell phone bill as a function of data usage, assuming you pay a flat fee for a certain amount of data, and then pay per megabyte for any usage over that amount.
What is a piecewise function.
400
y = 0.3f(x) where represents this kind of transformation.
What is a vertical shrink (by a factor of 0.3).
400
To find the domain and range of a circle, I can simply add and subtract this from the coordinates of the center, one at a time.
What is the radius.
400
When a point is included in a domain or range using interval notation, you use this type of bracket to indicate that.
What is a hard bracket.
500
The slope of a line between two points on any function (whether the function has a constant slope or not) can be determined to find this between those two points.
What is the average rate of change
500
To tell if functions are inverses of each other by looking at their graphs, check to see if they are reflections of each other over this line.
What is y=x
500
y = f(-3x) represents this kind of transformation.
What is a reflection about the y-axis and a horizontal shrink (by a factor of 3).
500
In order to convert from general form to standard form of an equation of a circle, you need to complete the ______.
What is square
500
The slopes of perpendicular lines are negative these of each other.
What are reciprocals.