Calculating the Absolute Extrema in a CLOSED INTERVAL

Find the absolute extrema of   $f\left(x\right)=4x^2-24x+6$  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

Find the absolute extrema of   $f\left(x\right)=4x^2-24x+6$  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

Find the absolute extrema of $f\left(x\right)=-3x^2+30x+6$ 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

Find the absolute extrema of $f\left(x\right)=-3x^2+30x+6$  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

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

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

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

Find the absolute extrema of   $f\left(x\right)=5x+3$  on the closed interval [ -2, 4].   Select ALL the correct answers.  (Feel Free to use Desmos Graphing Tool)

• Absolute maximum occurs when x = 4

• Absolute maximum occurs when x = -2

• Absolute minimum occurs when x = -2

• Absolute minimum occurs when x = 4

• Absolute maximum occurs when x = 5

Find the absolute extrema of   $f\left(x\right)=-5x+3$  on the closed interval [ -2, 4].   Select ALL the correct answers.  (Feel Free to use Desmos Graphing Tool)

• Absolute maximum occurs when x = 4

• Absolute maximum occurs when x = -2

• Absolute minimum occurs when x = -2

• Absolute minimum occurs when x = 4

• Absolute maximum occurs when x = 5

there is an absolute maximum at

• (4,5)

• (4,8)

• (-1,2)

• (2,-6)

Tags

CCSS.HSA.REI.D.10