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Homework Statement
Please help me sketch the graph of the given piecewiswe-defined function and its transformations:
The function f(t)={t+4 ;-4<=t<0
={-3/2(t)+10 ; 0<=t<2
={1/2(t) ; 2<=t<=4
Homework Equations
The transformations of the function of f(t) are:
h(t)= f(t)-2 and k(t)= 3-2f(t-2)
The Attempt at a Solution
I understand that a piecewise function is defined with different
formulas. In this case, all formulas are linear or straight lines in
a form of y=mx+c.Here I'm not sure: The first formula; f(t)= t+4,
provided -4<=t<0 is a line with a of slope of 1 and an x-intercept
of t=4; but we are only supposed to sketch that part of a line that
lies to the left or at t=4.Therefore,f(4)=4+4=8 :fixed endpoint of
the ray is (4,8)
Thank