True of False: The graph of a function cannot have a vertical tangent line at a point of inflection. . . . ..

4 ⤊

2006-07-18 09:48:06 · 5 answers · asked by Olivia 4 in Science & Mathematics ➔ Mathematics

False. See, for instance, f(x)=x^(1/3).

2006-07-18 09:59:46 · answer #1 · answered by Pascal 7 · 4⤊ 1⤋

False

2006-07-18 09:52:49 · answer #2 · answered by Anacapa 2 · 0⤊ 0⤋

TRUE, if the inflection is straight.

2006-07-18 10:02:31 · answer #3 · answered by echiasso 3 · 0⤊ 0⤋

It can. While x increases: f '(x) grows to infinity. Without 'delay' the grow of the f ' (x) decreases.

2006-07-18 09:57:53 · answer #4 · answered by Thermo 6 · 0⤊ 0⤋

False. It sure can.

2006-07-18 09:51:21 · answer #5 · answered by Anonymous · 0⤊ 0⤋