How do you graph #y= \log _ { 2} x + 2#?

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Answer 1 · 2018-03-29T11:29:04

Please read the explanation.

We are given

#color(red)(y=f(x)=log_2 (x) + 2#

To draw the graph of this logarithmic function, we can create a table of values and plot the points.

The table below contains values of:

#color(blue)(x, log(x), log_2(x) and log_2(x) + 2# for some values of #x#.

enter image source here

Note that values of #log(x), log_2(x)# are found to understand the behavior of the graph of #log_2(x)#.

Compare the base function of #log(x)# and the corresponding function #log_2(x)# with the required function #log_2(x)+2#.

The idea was to compare these values with the graph generated and to verify the accuracy of the graph.

An image of the graph containing all the three functions:

enter image source here