# Finding Points Exercises

### Example 1

Find 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 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 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}

### Example 5

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