navneet said:Hi I was brought upto this questiong!
sketch the graph of log any log function and the sketch must have at least Mama, Papa, and one child?
what does it mean by Mama, Papa and one Child!
To sketch a log function, start by plotting the x and y intercepts, which are (1,0) and (0,1) respectively. Then, plot a few more points by substituting different values of x into the log function. Lastly, connect the points with a smooth curve to complete the sketch.
The parent function of a log function is y = logb(x), where b is the base of the logarithm. This function has a vertical asymptote at x = 0 and passes through the points (1,0) and (b,1).
The domain of a log function is all positive real numbers, since the logarithm of a negative number is undefined. The range depends on the base of the logarithm. If the base is greater than 1, the range is all real numbers. If the base is between 0 and 1, the range is all negative real numbers.
Yes, a log function can have a horizontal asymptote. The value of the asymptote is determined by the base of the logarithm. If the base is greater than 1, the horizontal asymptote is y = 0. If the base is between 0 and 1, the horizontal asymptote is y = -∞.
To sketch the transformations of a log function, first plot the parent function. Then, apply any horizontal or vertical translations, reflections, or dilations by following the appropriate rules. Finally, sketch the new points and connect them to create the transformed graph.