Calculating the Absolute Extrema in a CLOSED INTERVAL

Calculating the Absolute Extrema in a CLOSED INTERVAL

10th Grade - University

11 Qs

quiz-placeholder

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Calculating the Absolute Extrema in a CLOSED INTERVAL

Calculating the Absolute Extrema in a CLOSED INTERVAL

Assessment

Quiz

Mathematics

10th Grade - University

Medium

CCSS
HSA.REI.D.10, HSA.APR.B.3

Standards-aligned

Created by

Adeyemi Aderinto

Used 8+ times

FREE Resource

11 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Find the absolute extrema of   f(x)=4x224x+6f\left(x\right)=4x^2-24x+6  on the closed interval [ 0, 8].   Select ALL the correct answers. (Feel Free to use Desmos Graphing Tool) 

Absolute minimum occurs when x = 0

Absolute maximum occurs when x = 3

Absolute minimum occurs when x = 3

Absolute maximum occurs when x = 8

Absolute minimum occurs when x = 8

2.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Find the absolute extrema of   f(x)=4x224x+6f\left(x\right)=4x^2-24x+6  on the closed interval [ 0, 5].   Select ALL the correct answers. (Feel Free to use Desmos Graphing Tool)

Absolute maximum occurs when x = 0

Absolute maximum occurs when x = 3

Absolute minimum occurs when x = 3

Absolute maximum occurs when x = 5

Absolute minimum occurs when x = 5

3.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Find the absolute extrema of f(x)=3x2+30x+6f\left(x\right)=-3x^2+30x+6 on the closed interval [ 2, 9].  Select ALL the correct answers.  (Feel Free to use Desmos Graphing Tool)

Absolute minimum occurs when x = 9

Absolute minimum occurs when x = 2

Absolute minimum occurs when x = 5

Absolute maximum occurs when x = 5

Absolute maximum occurs when x = 9

4.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Find the absolute extrema of f(x)=3x2+30x+6f\left(x\right)=-3x^2+30x+6  on the closed interval [ 1, 7].  Select ALL the correct answers.  (Feel Free to use Desmos Graphing Tool)

Absolute minimum occurs when x = 1

Absolute minimum occurs when x = 7

Absolute minimum occurs when x = 5

Absolute maximum occurs when x = 5

Absolute maximum occurs when x = 7

5.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Find the absolute extrema of   f(x)=x33x224x+4f\left(x\right)=x^3-3x^2-24x+4  on the closed 

interval [ -4, 8].   Select ALL the correct answers.   (Feel Free to use Desmos Graphing Tool)

Absolute minimum occurs when x = -4

Absolute maximum occur when x = -2

Absolute minimum occurs when x = 4

Absolute maximum occurs when x = 4

Absolute maximum occurs when x = 8

6.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Find the absolute extrema of   f(x)=x33x224x+4f\left(x\right)=x^3-3x^2-24x+4  on the closed 

interval [ -7, 6].   Select ALL the correct answers.   (Feel Free to use Desmos Graphing Tool)

Absolute minimum occurs when x = -7

Absolute maximum occurs when x = -2

Absolute minimum occurs when x = -2

Absolute maximum occurs when x = 6

Absolute minimum occurs when x = 4

7.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Find the absolute extrema of

f(x) = 3x3 – 18x2 + 20 on the closed interval [ -1, 7].

Select ALL the correct answers. (Feel Free to use Desmos Graphing Tool)

Absolute maximum occurs when x = 7

Absolute minimum occurs when x = -1

Absolute maximum occurs when x = 4

Absolute minimum occurs when x = 4

Absolute minimum occurs when x = 0

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