MediumCurve sketching

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.4 Graphs, #30 · Calculus · Curve sketching

True (with reason) or false (with example)

True (with reason) or false (with example).
(a) Every ratio of polynomials has asymptotes
(b) If $f (x)$ is even so is $f^{''} (x)$
(c) If $f^{''} (x)$ is even so is $f (x)$
(d) Between vertical asymptotes, $f^{'} (x)$ touches zero.

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.4 Graphs, #30

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.