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Step Functions  Problem 2
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
Graphing a transformation of a step function is exactly like graphing the transformation of any other thing that we know. So we know what the step function looks like, it starts at the origin and then goes flat up flat so on and so forth, so a transformation is going to occur exactly the same.
So what we're looking at here is a transformation of the greatest integer of x plus 1 minus 3. So what we know is that this plus 1 moves the graph back 1 and the minus 3 moves it down 3.
So originally we were on the origin with our first step, what we're going to do is move that origin point back 1 down 3 and then just start our graph right here, so we know we go over open circle, closed circle so on and so forth.
So transformations of the step function are exactly the same as any other transformation that you already know.
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Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
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Step Functions
Problem 1 9,225 viewsGraph:
f(x) = [[x]] 
Step Functions
Problem 2 6,025 viewsGraph:
f(x) = [[x + 1]] − 3 
Step Functions
Problem 3 4,473 viewsA taxi ride in SF charges a base rate of $3.00. Each fifth of a mile or fraction thereafter is 50¢; each minute of waiting, or traffic delay is 50¢. Given an airport surcharge of $2.
How much would it cost to travel from the airport to my house, 14.1 miles with 3 minutes 17 seconds of traffic delay?
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