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Math Final Project


TOPICS

Sketch the graph of y = x2/2. Starting with the graph of y = x2, we shrink by a factor of one half. This means that for each point on the graph of y = x2, we draw a new point that is one half of the way from the x-axis to that point.

Links:

IB MATH PD.1 Home Main Pages
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Robinson Secondary School Homepage
Graph Your Own Function!
Examples to Work On

 

Ex: a.) f(x)=((1/2)^x-3+2
b.) g(x)=(1/2)^x


Domain f (x) (-∞,∞)
Range f(x) [2,∞)
Asymptotes f(x) y=2
X Intercept f(x) N/A
transformation from g(x)to f(x) up 2, right 3

a.) h:y →3x^2+5 and b.) k:t→1/2(x-4)
1.) h(2)=12 2.) h=1.5x^2+1/2

cell 1 D: [0,2)
R: [-1,∞)

Problem: If it costs $3 to send parcels weighing between at least 1kg but less than 3kg, $7 for parcels weighing at least 3kg but less than 5kg, $13 for parcels weighing at least 5kg but less than 8kg and so on, we have the following graph: