The x-t graph can't tell you anything about direction, so you can only make
observations regarding speed, not velocity.
For constant speed, the x-t graph is a straight line. The slope of the line is
numerically equal to the constant speed.
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Polynomials have graphs that look like graphs of their leading terms because all other changes to polynomial functions only cause transformations of the leading term's graph.
In a velocity-time graph it will be the time axis (where velocity = 0). On a distance-time graph it will be a line parallel to the time axis: distance = some constant (which may be 0).
Functions (lines, parabolas, etc.) whose graphs never intersect each other.
You can obtain actual graphs of algebraic equations at the Wolfram Alpha website. wolframalpha.com
There can be many, line graphs bar graphs scatter plots, many more, you can look on Google if that doesn't answer anything