AROC
AROC is the abbreviation for this...
What is the Average Rate of Change?
A line that goes through two points on a function.
What is a secant line?
When a function's values are above the x-axis
What is positive?
When I have asymptotes in the graph of the function, I have this type of discontinuity.
What is an infinite discontinuity?
The number of dots in Domino's logo.
What is 3?
AROC is equivalent to this concept commonly found in lines (y=mx+b).
What is slope?
A line that goes through exactly one point on the function, and tells you the instantaneous rate of change.
What is a tangent line?
The description for the definition of decreasing.
What is the function is going down from left to right?
Name the 3 types of discontinuities.
Oldest baseball park in America.
What is Fenway Park?
This equation's AROC on interval x=-4 to x=0.
f(x) = x^2+6x+1
What is 2?
What we can conclude about a function at x=0 when the tangent line at x=0 has a negative slope.
What is the function is decreasing at x=0?
The x-intercepts of this polynomial
f(x)=x(x-3)(2x+4)^2
What are 0, 3, -2?
The value of k that would make the function continuous at x=8.
f(x) = kx-90 when x>= 8
f(x) = -6x-10 when x<8.
What is k = 4?
Longest running American animated TV show.
What is the Simpsons?
What we can conclude about a function on an interval that has a positive AROC.
What is increasing?
When the function has a horizontal tangent line at x=3, we know this about the function at x=3.
What is the function is changing from increasing to decreasing or vice versa?
The y-intercept for this polynomial
f(x) = (3x-1)^2(x+2)(2x-1)
What is -2?
Something you would do to "remove" the removable discontinuity. (When you plug in the value of x and you get 0/0)
What is factoring and cancelling/simplifying?
What is India?
Draw or give an example of what it would look like if the AROC on an interval from x=0 to x=6 was 0.
What are two points that have the same y-coordinates?
What you can conclude about the function on an interval if the slope of the interval's secant line is negative.
What is decreasing?
The sign (+ or -) of the function on interval x=0 to 3 for function
f(x) = x(x-3)(2x+1)^2(x+4)
What is -?
The limit as x-> 3 for the function
f(x) = (x^2-5x+6)/(x^2-3x)
What is 1/3?
This temperature is the same in fahrenheit and celcius.
What is -40?