1. 1.6 A Library of Parent Functions
I. Step and Piecewise-Defined Functions.
A) Functions whose graphs resemble stair-steps are
know as Step Functions.
B) Greatest Integer Function: a step function.
1) Symbol f(x) =
2) It means the greatest integer (whole #) less than or
equal to x.
3) Examples:

2. 1.6 A Library of Parent Functions
II. Parent Functions and their Graphs.
A) Straight Line(s) Graphs:
1) y = mx + b or f(x) = mx + b
(where b = the y-intercept, m = the slope)
2) Vertical lines: x = #
3) Horizontal lines: y = # or f(x) = #
4) Absolute value: y = or f(x) =
a) It is V shaped.
b) For
the vertex is at (–B,C)

3. 1.6 A Library of Parent Functions
II. Parent Functions and their Graphs.
B) Curved Graphs:
1) Square root: y =
2) Cubed root: y =
3) Quadratic: y = x2
4) Cubic: y = x3

4. 1.6 A Library of Parent Functions
II. Parent Functions and their Graphs.
C) Special Graphs:
1) Reciprocal: y =
2) Greatest Integer: y =
3) Piece-wise: f(x) =
HW: page # 37–49 odd, 53–60 all