Home
Class 12
MATHS
Draw the graph of f(x) = (x^(3)-x)/(x^(2...

Draw the graph of `f(x) = (x^(3)-x)/(x^(2)-1)`.

Text Solution

AI Generated Solution

To draw the graph of the function \( f(x) = \frac{x^3 - x}{x^2 - 1} \), we can follow these steps: ### Step 1: Simplify the Function First, we simplify the function \( f(x) \): \[ f(x) = \frac{x^3 - x}{x^2 - 1} \] We can factor both the numerator and the denominator: ...
Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF ELEMENTARY FUNCTIONS

    CENGAGE ENGLISH|Exercise EXERCISES|34 Videos
  • GRAPHS OF POLYNOMIAL AND RATIONAL FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|17 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|22 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of f(x)=(x^(2)-8x+15)/(x^(2)-2x) .

Draw the graph of y=f(x)=(x^(2))/(x^(2)+1) .

Draw the graph of f(x) = x|x| .

Draw the graph of f(x) = e^(sin x).

Draw the graph of f(x)=(x^2-5x+6)/(x^2-x)

Draw the graph of f(x)=|(x^2-2)/(x^2-1)| .

Draw the graph of f(x)=|(x^2-2)/(x^2-1)| .

Draw the graph of f(x) = sqrt(1-e^(-x^(2))

Draw the graph of f(x) = "sgn"(x^(3) -x) .

Draw the graph of f(x)=(5x^(2))/((x-1)^(3)) .

CENGAGE ENGLISH-GRAPHS OF ELEMENTARY FUNCTIONS -EXERCISES
  1. Draw the graph of f(x) = (x^(3)-x)/(x^(2)-1).

    Text Solution

    |

  2. Draw the graph of y= (1)/((1//x)).

    Text Solution

    |

  3. (a) Draw the graph of f(x) = ={{:(1",",, |x| ge 1), ((1)/(n^(2)) ",",,...

    Text Solution

    |

  4. Sketch the regions which points satisfy |x+y| ge 2.

    Text Solution

    |

  5. Sketch the region satisfying |x| lt |y|.

    Text Solution

    |

  6. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

    Text Solution

    |

  7. Draw the graph of y= (x-1)/(x-2).

    Text Solution

    |

  8. The following figure shows the graph of f(x) =ax^(2)+bx +c, then find ...

    Text Solution

    |

  9. The entire graph of the equation y=x^2+k x-x+9 in strictly above the x...

    Text Solution

    |

  10. If x^2+2a x+a<0AAx in [1,2], the find the values of a.

    Text Solution

    |

  11. Draw the graph of f(x) = x|x|.

    Text Solution

    |

  12. Draw the graph of the function: Solve |(x^2)/(x-1)|lt=1 using the grap...

    Text Solution

    |

  13. Draw the graph of y = |x^(2) - 2x|-x.

    Text Solution

    |

  14. Draw the graph of y = {{:(2^(x)",",, x^(2)-2x le 0 ),( 1+3.5 x- x^(2),...

    Text Solution

    |

  15. Draw the graph of f(x) = |x-1|+ |2x-3|. Find the range of the functio...

    Text Solution

    |

  16. Draw the graph of f(x) =y= |x-1|+3|x-2|-5|x-4| and find the values of ...

    Text Solution

    |

  17. Find the set of real value(s) of a for which the equation |2x+3|+|2x-3...

    Text Solution

    |

  18. Draw the graph of y= 2^(((|x|+x))/(x)).

    Text Solution

    |

  19. Draw the graph of y= x ^((1)/(log(e)x)).

    Text Solution

    |

  20. Find the number of solutions to the equation x+log(e)x=0.

    Text Solution

    |

  21. Draw the graph of f(x)=x+[x], [.] denotes greatest integer function.

    Text Solution

    |