Pre-Calculus
Notes - Piecewise Functions
Watch video at: www.youtube.com/watch?v=hy0N-90gCu0
Evaluate the piecewise function for each value.
f(-1) =
f(2) =
f(1) =
Graphing Piecewise Functions - by hand
Sketch the graph of each.
Sketch the graph.
Day 2 - Graphing Piecewise Functions with the Graphing Calculator
Type into calculator using parentheses around each
part. Inequality symbols are in 2nd MATH
y1= (x+2)(x<-1)
y2 = ((-3/2)x-1)(x > -1)
Type in:
y1= (x2+1)(x<0)
y2 = (-x2 +1)(x > 0)
Type in as:
y1 = (-x-1)(x<1)
y2 = (2x+1)(1 < x)(x <4)
y3 = (-x+10)(x >4)
Day 3: Greatest Integer Functions
The greatest integer function, [x], is interpreted as "the
greatest integer not greater than x." It is known as a step
function due to the shape the graph makes. It may help to
think of a number line as you simplify the following
expressions.
Notation: f(x) = [x] or [[x]]
Example 1: Simplify each.
[2] =
[2.5]=
[3.9999]=
[0]=
[-1.3]=
[.01]=
-[.5]=
-[-4.3]=
Example 2:
Graph f(x) = [x]
HINT: Pick values for x and solve for y.
Be sure to choose some non-integer values.
x f(x)
Example 3:
Graph:
HINT: Pick values for x and solve for y.
Be sure to choose some non-integer values.
x f(x)
Greatest Integer Functions with the Graphing Calculator
Graph the function with the calculator. Determine its domain and
range.
The greatest integer function
is found in MATH
NUM
5: int(
Application:
The cost for postage is as follows:
Sketch the graph to represent the cost of mailing any letter from
0 oz to 10 oz.