The X values in a function indicating either a positive or negative slope.
What are the intervals of increase/decrease?
100
Parabolas, f(x)=x^2, U-shaped
What is Quadratic?
100
f(x)= |x| to g(x)= |x+3|-2
Name the transformations.
What are H: left 3 units K: down 2 units
100
f(x)= x+3 g(x)= x^2 +x
Find (g-f)(x)=?
What is (g-f)(x)= x^2 -3?
100
Find the inverse function of f(x)=16x-4 using the switch and solve method.
What is f-'(x)= (x+4)/16?
200
The highest or lowest point on a function.
What is the absolute max/min?
200
V-shaped, f(x)=|x|
What the absolute value family?
200
f(x)= x^2 to g(x)= -(x-4)^2 +6
Name the transformations.
What are H: right 4 units A: reflected over the X axis and K: up 6 units
200
f(x)= |x-4| g(x)=2x+7
Find (f+g)(x)= ?
What is (f+g)= |x-4| + 2x+7?
200
Find the inverse function of f(x)=(x-2)/8 using the switch and solve method.
What is f-'(x)=8x+2?
300
The points at which a function crosses the X axis.
What are the zeros of a function?
300
f(x)= x, straight line
What is the linear family?
300
f(x)=√x to g(x)= √(x-5) -6
Name the transformations
What are H: right 5 units and K: down 6 units
300
f(x)= (x/2) g(x)= 7x-4
Find f(g(x))=?
What is f(g(x))= (7x-4)/2?
300
Find the inverse function of f(x)=(7x+8)/5 using the switch and solve method.
What is f-'(x)=(5x-8)/7?
400
All X values of the function.
What is the Domain?
400
f(x)=x^3, "S" Shaped
What is the cubic family?
400
f(x)= x to g(x)=?
Write the equation to g(x) using the following transformations: H: right 2 units A: stretched by 2 units and K: up 7 units
What is g(x)= 2(x-2)+7?
400
f(x)= 4x+3 g(x)=3x
Find g(f(x))=?
What is g(f(x))= 12x+9?
400
Given that f-'(x)= (16x+3)/9, find f(x).
What is f(x)=(9x-3)/16?
500
All Y values of the function.
What is the Range?
500
f(x) = √x , Sideways half parabola
What is the square root family?
500
f(x)=|x| to g(x)=?
Find g(x) by using the following transformations:
H:left 6 units A: Reflected across the X axis and compressed by 1/2 units and K: down 3 units
What is g(x)= -1/2|x+6|-3?
500
f(x)= x/2 g(x)=6 h(x)=2x-5
Find f(h(g(x)))=?
What is f(h(g(x)))=7/2?
500
Given that f(x)= (13x)/(x-5), find f-'(x).
What is f-'(x)= (5x)/(x-13) or (-5x)/(13-x)?
These answers are the same because you could factor out a -1 from the second answer and it would match the first.