Question

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Answer 1

Răspuns:

Explicație pas cu pas:

f(x)=-3x/(x-2)

  x.......................0................2..........

-3x   +++++++++0------------------

x-2-------------------------------0 +++++

f      ---------------0 +++++++I ---------

f≥0  pt x∈[0,2)

f<0   pt x∈(-∞,0)∪(2,∞)

b)

x...........................-5.............0...............2...................

x+5----------------0 +++++++++++++++++++++++

2-x++++++++++++++++++++++++++0 --------------

f     -----------------0++++++++++++++I------------

f≥0  pt x∈[-5,2)

f<0  pt x ∈(-∞,-5)∪ (2,∞)

c)

    x...................-5.........-2.......0...............5......................

x²-25.+++++++0------------------------------0++++++++++

x+2 -------------------------0+++++++++++++++++++++++++++++

f       -------------0+++++  I-------------------0 +++++++++++++++++++

f≥0 pt x∈[-5,-2) ∪[5, ∞)

d)

x........................-4.........-3............................

-x-4+++++++++0 --------------------------

x+3-------------------------0+++++++++++++++++

f   -----------------0+++++I --------------------------------

f≥0  pt x∈[-4,-3)