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For the attached problem set, do #2,10,16,20. Please read and follow
the instructions on the problems set. Show and label your work as has
been demonstrated in class examples. You will be graded on notation,
algebra, calculus, and your diagrams/reasoning. You should do more
problems than are assigned in order to master this content.

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Name: Yusuf Hussein

Date: 4/1/2022

MATH 10283 – Applied Calculus Name: ___________

12.3 – Absolute Extrema
Find the absolute extrema (both x and y coordinates) of the function on the specified domain.
Show your work by listing all critical values and showing your test and conclusions.

1. f x( ) = x4 !18×2 +1 on !4,4[ ]

2. f x( ) = x3 ! 3×2 on !1,3[ ]

3. f x( ) = x3 !12x on 0,4[ ]

4. f x( ) =
1

x ! 2
on 0,1[ ]

5. f x( ) =
1

x2 +1
on 1,4[ ]

6. f x( ) =
1

x2 +1
on !1,1[ ]

7. f x( ) = 3x +1( )3 on !2,1[ ]

8. f x( ) =
3

x
2
+ 4

on !2,2[ ]

9. f x( ) =
1! x

3+ x
on 0,3[ ]

10. f x( ) =
x

x ! 2
on 3,5[ ]

11. f x( ) =
x

x
2
+ 2

on !1,4[ ]

12. f x( ) =
x
2
+1

x
on 0,!( )

13. f x( ) = 2x +
6

x
on 0,10( )

14. f x( ) = 3×2 ! 2 +
6

x
2

on !5,0( )

15. f x( ) =
x

e
x

on 0,3( )

16. f x( ) =
e
x

x !1
on 1,4( )

17. f x( ) = xex on !3,2( )

18. f x( ) = xe2!x
2

on !”,0( )

19. f x( ) = 8×12 ! x on 10,20( )

20. f x( ) = 6×23 ! 4x on 0,!( )

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