# Second Derivatives and Beyond

### Example 1

Find and graph all intercepts, vertical asymptotes, critical points, and inflection points of the function. Label each point with its exact coordinates.

*f* (*x*) = *e*^{x}

### Example 2

Find and graph all intercepts, vertical asymptotes, critical points, and inflection points of the function. Label each point with its exact coordinates.

*f* (*x*) = ( *x* - 2 )^{3}

### Example 3

Find and graph all intercepts, vertical asymptotes, critical points, and inflection points of the function. Label each point with its exact coordinates.

*f* (*x*) = (1-*x*)*e*^{x}

### Example 4

*f* (*x*) = *x*^{2}*e*^{x} - 4*e*^{x}