- #1

tics

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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