Home
Class 12
MATHS
Draw the graph of f(x) = "sgn"(log (e) x...

Draw the graph of `f(x) = "sgn"(log _(e) x)`.

Text Solution

AI Generated Solution

To draw the graph of the function \( f(x) = \text{sgn}(\log_e x) \), we will follow these steps: ### Step 1: Understand the Signum Function The signum function, denoted as \( \text{sgn}(x) \), is defined as follows: - \( \text{sgn}(x) = -1 \) if \( x < 0 \) - \( \text{sgn}(x) = 0 \) if \( x = 0 \) - \( \text{sgn}(x) = 1 \) if \( x > 0 \) ...
Doubtnut Promotions Banner Mobile Dark
|

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) = "sgn"(log_(0.5) x) .

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

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

For the following functions write the piecewise definition and draw the graph (i) f(x)=" sgn "(log_(e)x) " (ii) "f(x) = " sgn "(sin x)

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

Draw the graph of f(X)=log_(e)(1-log_(e)x) . Find the point of inflection

Draw the graph of f(x) = [log_(e)x], e^(-2) lt x lt 10 , where [*] represents the greatest integer function.

Draw the graph of f(x) = sqrt(sin x) .

Draw and graph of f(x) = (4log_(e)x)/(x^(2)) . Also find the range.

Draw the graph of f(x)="ln" (1-"ln "x) . Find the point of inflection.