Concavity

Concavity

9th - 12th Grade

19 Qs

quiz-placeholder

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Concavity

Concavity

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSF.IF.B.4, HSA.APR.B.3, HSA.CED.A.1

+7

Standards-aligned

Created by

Kayla Hill

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When f'(x) changes from negative to positive, there is(are) ...

a maximum.
a minimum.
no extrema.

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When f'(x) changes from positive to negative, there is(are) ...

a maximum.
a minimum.
no extrema.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

 If (a,b) is a local minimum, then what will be true about f'(a)?

It's positive
It's negative
It's zero
Cannot be determined

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The concavity of a function is described by its _______________.

first derivative
second derivative
third derivative
expression

5.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

If f'(x) = 0 what does that imply about the x value?

It is a critical point, it is a possible max, min, or point of inflection.

That the limit does not exist.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What will be true at an inflection point?  (select the best answer)

f(x)=0
f'(x)=0
f''(x)=0
The function is undefined

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

max/min

absolute max

absolute min

local max

local min

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

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