Function Basics
The formal name of the test used to determine whether a relation is a function.
What is The Vertical Line Test?
Let f(x) = x2 and g(x) = 3x. Then f((g(x)) = ___.
What is 9x2?
Multiplying a parent function by -3 will _____ and _____ the parent function.
What is reflect and stretch?
If f(x) and g(x) are inverses, then f(g(x)) = g(f(x)) = _____.
What is x?
The absolute value of a number is its ________ from zero on the number line.
What is distance?
Is this a function? {(8,4), (6, 3), (-2,4)}?
What is yes?
Let f(x) = 12x+7 and g(x) = 3x2. Find f(g(x)).
What is 36x2+7?
Find the equation of the parabola shifted right 4 units and up 2 units.
What is f(x) = (x-4)2+2?
Find the inverse of f(x) = 6x-3.
What is f-1(x)=(x+3)/6?
Solve abs(5-6x)=-3.
What is no solution?
What is all real numbers?
Let f(x) = x2+1 and g(x) = 3x-1. Find f(g(1)).
What is 5?
Describe the difference between f(x) = (x-3)2 and g(x) = x2-3.
What is the first is horizontal and the second is vertical shift?
The inverse of a function is a reflection over the line _______.
What is y = x?
Let x=-4. Find abs(x+9).
What is 5?
What is [1, 3, 5]?
Find two functions f(x) and g(x) such that f(g(x)) = sqrt(x+4).
What is g(x) = x+4 and f(x) = sqrt(x)?
The only parent function that is not symmetrical.
What is the square root function?
What is g(x) = 7/x?
The solution to 5abs(7-2x)=10.
What is x=5/2 and x=9/2?
The domain and range of this parent function are equal.
What is f(x) = x3?
The composition of ________ functions yields an x.
What is inverse?
To compress a function vertically, you must multiply the parent function by a _______.
What is a fraction?
Let f(x) = 3/(4+x). Find the inverse.
What is g(x) = 4-(x/3)?
What is yes?...