9,11,12 please 9. Determine the equation of the piecewise function 10. The time

Question

9,11,12 please

9. Determine the equation of the piecewise function 10. The time (T) required to do a job varies inversely as the number of people (P) working. It takes 9 hrs. for 5 sh along the highway. How long would it take 18 volunteers to complete the job? a job 18 11. Write the equation shrunk vertically by 1/2 and reflected across the x axis. of the function obtained if the graph of f(x) = is shifted two units to the left, 1 unit up de Determine if the following function is even, odd or neither f(x)=xV 1- D f(x)YHa

Explanation / Answer

9) finding equation of piecewise function

1st function is a parabola passing through (-2,0) and ( 0,4)

hence , we can write

y = a ( x - h )^2 + k

0 = a ( -2 - 0 )^2 + 4

a = -1

so, the equation is

y = -x^2 + 4

2nd function is of an absolute value function

so we can write

y = | x - 2| - 4

our piecewise function becomes

f(x) = { - x^2 + 4 , if -infinity <x <= 1

| x - 2 | if 1 < x < infinity }

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