Apiecewisefunctionusesdifferent...

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A piecewise function uses different  output formulas for different parts of  the domain. To evaluate h(x) for a  specific value of x, determine which  part of the domain includes the given  x-value. Because the union of the  intervals used to define the piecewise  function is the real line, h(x) is defined  for every x. A function will be undefined if the input value does not lie in any of the given  intervals
6. The net revenue for a certain car company (in billions of dollars) between the years 2004 and 3 + 20.1 x 2 160.4 x + 434.1 , where x=4 corresponds to the year 2004. Complete parts (a) and (b) below. (a) What is the revenue in 2008? x
(b) What is the revenue in 2012?
7. The value (in millions of dollars) of electric household ranges and ovens shipped in a certain country can be approximated by the function g ( x ) =− 27.8 2 + 196 x + 2415 , where x=0 corresponds to the year 2000. Complete parts (a) and (b) below. 1. What is the value of the ranges and ovens shipped in 2005? x
2. What is the value of the ranges and ovens shipped in 2006? 8. Graph the function f(x)= .5x-1
9. Graph the piecewise-defined function. h ( x ) = { 3 x ,if x ≤ 2 6 + 2 x ,if x > 2 H(2)= -3 – (2) = -5 (2,-5) H(-3)= -3 – (-3) = 0 (-3,0) H(2) = −6+2(2)=-2 (2,-2) H(3)= -6+2(3)= 0 (3,0) The final graph of the piecewise-defined function includes both parts of the domain.

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