Chapter 3.2, Problem 33E

(a)

To determine

To sketch: The graph of the function $f\left(x\right)={\left(x-2\right)}^{\frac{1}{3}}$ and determine the location of the vertical tangent line.

(b)

To determine

To sketch: The graph of the function $f\left(x\right)={\left(x+1\right)}^{\frac{2}{3}}$ and determine the location of the vertical tangent line.

(c)

To determine

To sketch: The graph of the function $f\left(x\right)=\sqrt{\left|x-4\right|}$ and determine the location of the vertical tangent line.

(d)

To determine

To sketch: The graph of the function $f\left(x\right)=x^{\frac{5}{3}}-2x^{\frac{1}{3}}$ and determine the location of the vertical tangent line.