UNIT ONE: Lesson Two: Function Notation
When using function notation, f x  is used to replace y in the equation of the function.
i.e. y  2x  3 and f x  2 x  3 mean the same thing.
f x  is read “f at x” or “f of x”, which means the function evaluated at x.
So, f 5 would mean “evaluate the function when x=5” or “find the y value when x=5.”
Note: f x  is commonly used, but you may see g x, hx, k x, etc... These all mean the same thing.
Examples:
1. Given f x   3x  2 . Find….
a) f  1
b) f 6
c) f 2 x 
d) f x  1
2. Consider the function g(x) below. Find a) g(-1) b) g(1) c) g(3) –g(1)
d) g(3-1)
3. Copy the points on the grid from the smart board. Let the points be represented by f(x).
Find a) f(2) b) 2f(1)-3
4. Given f x   x 2  2 x  1, find
 f 3  f 0   f  1  f 2 .