Question

1) Faça todos os estudos das funções a seguir: a) y=5x-30 b) y=16-2x c) y=-5x d) t=-4 p

Answer 1

a) y=5x-30
 
a> 0 ==> 5x - 30 > 0 ==> 5x > 30 ==> x > 6
a= 0 ==> 5x - 30 = 0 ==> 5x = 30 ==> x  6
a < 0 ==> 5x - 30 < 0 ==> 5x < 30 ==> x < 6
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b) y=16-2x

a> 0 ==> 16 - 2x > 0 ==> -2x > -16(-1) ==> 2x < 16 ==> x < 8
a= 0 ==>16 - 2x = 0 ==> -2x = -16(-1) ==> 2x = 16 ==> x = 8
a < 0 ==> 16 - 2x < 0 ==> -2x < -16(-1) ==> 2x > 16 ==> x > 8
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c) y=-5x

a> 0 ==> - 5x > 0 ==> -5x > 0(-1) ==> 5x < 0 ==> x < 0
a= 0 ==> - 5x = 0 ==> -5x = 0(-1) ==> 5x = 0 ==> x = 0
a < 0 ==> - 5x < 0 ==> -5x < 0(-1) ==> 5x > 0 ==> x > 0
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d) t= - 4p

a> 0 ==> - 4p > 0 ==> -4p > 0(-1) ==> 4p < 0 ==> p < 0
a= 0 ==> - 4p = 0 ==> -4p = 0(-1) ==> 4p = 0 ==> p = 0
a < 0 ==> - 4p < 0 ==> -4p < 0(-1) ==> 4p > 0 ==> p > 0