State the importance of examining a function analytically as well as graphically.?

Sometimes it is good to examine function analytically and sometimes it is good to examine function graphically it also depends on the nature of the function.

Moreover, when the function is examined graphically it does not shows the discontinuity of a single point, but it can be examined clearly by analytically.

Also, plotting the graph function is apparently clear by one view but it is not with examining the function analytically.

y = x + 95

y = 42 + 95

y=137 mm hg

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4