Graphical Relationships

Sketch the graph of \[ y = (\sqrt{\left| x \right|})^3 \ \]

Sketch f for x > 0

f for x > 0 is \[ y = (\sqrt{x})^3 \] So y looks like:

Reflect f for x > 0 in the y-axis

The final sketch looks like this:

You will gain most benefit if you work through each problem first and then come back and check your work against the solution.

y

Now You Try:

Sketch the graph of \[ y = \cos(\left| x \right|) \ \]