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Home > CALC > Chapter 8 > Lesson 8.3.3 > Problem 8-129

8-129.
  1. Multiple Choice: Given f(x) = −4x2 + 7x, then f is concave up for … Homework Help ✎

    1. x ≠ 0

    2. no values of x

    3. x < 0

    4. x < 0 or x >

    5. 0 < x <

Recall that candidates for points of inflection occur where the 2nd-derivative equals zero AND where the 2nd-derivative does not exist.

After you identify where f ''(x) = 0 and where f ''(x) = DNE, check the regions before, after and between those candidates: if f ''(x) > 0, then f(x) is concave up.