Sketch the Graph of Functions

[nycmath]

Precalculus
Michael Sullivan
Edition 10
Chapter 2, Section 2.4

My steps for graphing basic functions by hand are as follows:

A. Make a table for points.
B. Select 3 values for x to find f(x).
C. Plot all three points on the xy-plane.
4. Connect each point with a straight line or curve, depending on the given function.

Note: If you have a better way to do this, please share.

See attachment.

[Eigenvalue]

Question 23:

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Question 23, continued: