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Second Derivatives and Beyond

Second Derivatives and Beyond

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) = ex

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)ex

Example 4

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

f (x) = x2ex – 4ex

Example 5

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

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