GRAPHING
PIECEWISE FUNCTION
PIECEWISE FUNCTION
What do these inequality symbols, < and >, in graphing piecewise function correspond to?
Open Circle
What is a mathematical function that uses different formulas or rules for different parts of its domain?
PIECEWISE FUNCTION
SINONG DWENDE NI SNOW WHITE ANG MAY PULANG ILONG?
Wala
13 is what % of 26?
50%
What do these inequality symbols, ≤ and ≥ , in graphing piecewise function correspond to?
Closed Circle
Is it possible to name the graph using one function only? And what we can possibly do that by applying the concept of p________ f________n
Yes and we can possibly do that by applying the concept of piecewise function.
x < 7 =?
A. 6
B. Included
C. Not included
C. Not included
What is a mathematical function that uses different formulas or rules for different parts of its domain?
PIECEWISE FUNCTION
These are a special type of piecewise function. When graphed, each piece is represented by a horizontal line segment or a single point.
STEP FUNCTIONS
Give me 3 real-life examples of piecewise function
Mobile Phone Plan. Parking fees
Taxi Fares. Overtime Pay
Tricycle Fares. Income Tax
Hotel Room
Water Bills
To graph a piecewise function, it's helpful to start by plotting the _ _ _ _ _ _ _ _ _ of each piece.
Endpoints
how many seconds in 6 minutes?
360 seconds
To graph a piecewise function, it's helpful to start by plotting the _ _ _ _ _ _ _ _ _ of each piece.
Endpoints
A parking lot charges ₱100 for the first hour, ₱75 for each additional hour up to 5 hours and ₱500 for more than 5 hours.
How much would a customer pay for 50 minutes and for 7 hours?
₱100 and ₱500
Delivery costs ₱50 for packages up to 2 kg, ₱80 for 2–5 kg, and ₱120 for 5–10 kg.
find: f(7) and f(4)
f(x) = 50, if 0 < x ≤ 2
f(x) = 80, if 2 < x ≤ 5
f(x) = 120, if 5 < x ≤ 10
f(7) = ₱120
f(4) = ₱80
A water container costs ₱30 for up to 20 liters, ₱45 for 21–40 liters, and ₱60 for 41–60 liters.
Find : W(35) and W(53)
F(35) = ₱45
F(53) = ₱60
Write the formula or equation of the Absolute Value Function f(x)=|x|, in piecewise form on the blackboard or scratch paper.
f(x) = x if x ≥ 0
f(x) = -x if x < 0
PIECEWISE FUNCTION - It is a function defined by at least two equations ("_ _ _ _ _ _"), each of which applies to a different part of the domain.
Pieces
f(r) = 5r³ - 9
Is this FUNCTION OR NOT FUNCTION
Function - "Cubic function"
A parking lot charges ₱100 for the first hour, ₱75 for each additional hour up to 5 hours and ₱500 for more than 5 hours.
How much would a customer pay for 1 hour and for 8 hours?
₱100 and ₱500