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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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