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Find the intervals in which the followin...

Find the intervals in which the following functions are positive and in which they are negative
`f(x) = (x-1) ( x- 3)`

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The correct Answer is:
`+ ve in ( - oo, 1) uu (3,+oo) ; -ve` in ( 1,3)
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AAKASH SERIES-REAL FUNCTIONS -EXERCISE-1
  1. Find the domains of the following functions f(x) = log|x|

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  2. Find the domains of the following functions f(x) = ( 1)/( [x]) ( [...

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  3. Draw the graphs of the following : y = 2x +1 if -2,2

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  4. Draw the graphs of the following : y = | x-1 | in [ 0,2 ]

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  5. Draw the graphs of the following : y = |x| + |x -1| in [ -2,3]

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  6. Draw the graphs of the following : y =f(x) ={{:(2x,if,x lt 1 ),(1-x,...

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  7. Draw the graphs of the following : y = [x] in [-3,3]

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  8. Draw the graphs of the following : y = x -[x] in [ 0,3]

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  9. Draw the graphs of the following : y = x^(3) if -2,2

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  10. Draw the graphs of the following : y = 2^(x) if -2,2,

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  11. Draw the graphs of the following : y = {{:(x^(2) , if , x lt 0),(x ,...

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  12. Draw the graphs of the following : x^(2) -1 = y

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  13. Draw the graphs of the following : y^(2) = x^(2) tan^(2) "" ( pi )/...

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  14. Draw the graphs of the following : y = sqrt( 1- x^(2))

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  15. Find the intervals in which the following functions are positive and i...

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  16. Find the intervals in which the following functions are positive and i...

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  17. Find the intervals in which the following functions are positive and i...

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  18. Find the intervals in which the following functions are positive and i...

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  19. Find the intervals in which the following functions are positive and i...

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  20. Find the intervals in which the following functions are positive and i...

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