For each problem, find the x-coordinates of all points of inflection. 1) $$y = -2 \sec (2x)$$ ; $$[-\pi, \pi]$$

Inflection points at: $$x = \frac{3\pi}{4}, -\frac{\pi}{4}, \frac{\pi}{4}, \frac{3\pi}{4}$$

Inflection points at: $$x = -\pi, -\frac{\pi}{2}, 0, \frac{\pi}{2}, \pi$$

Inflection points at: $$x = -\pi, 0, \pi$$

For each problem, find the x-coordinates of all points of inflection. 2) $$y = -\sin (2x)$$ ; $$[-\pi, \pi]$$

Inflection points at: $$x = -\pi, -\frac{\pi}{2}, 0, \frac{\pi}{2}, \pi$$

Inflection points at: $$x = -\pi, 0, \pi$$

Inflection points at: $$x = -\frac{\pi}{2}, \frac{\pi}{2}$$

Concavity Task

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7D, HSF.BF.B.3, HSF.IF.B.4

+1

Standards-aligned

Jena Taylor

Used 1+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At a point of inflection, the rate of change of a function changes from increasing to decreasing or from decreasing to increasing.

TRUE

FALSE

What is a point of inflection?

Where there is a change in concavity

A point that is reflective

Where there is a relative maximum /minimum

When there is an absolute maximum or minimum

3.

MULTIPLE CHOICE QUESTION

15 mins • 8 pts

What is the point of inflection of the function?

(3,4)

(2,4)

(-2,4)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

No inflection points exist.

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