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HLRGAATPreISM_35799X_02_ch2

HLRGAATPreISM_35799X_02_ch2 - Chapter 2 Analysis of Graphs...

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Chapter 2: Analysis of Graphs of Functions 2.1: Gr aphs of Basic Functions and Relations; Symmetr y 1. 2. ; 3. 4. 5. increases 6. 7. x -axis 8. even 9. odd 10. y- axis; origin 11. The domain can be all real numbers, therefore the function is continuous for the interval: 12. The domain can be all real numbers, therefore the function is continuous for the interval: 13. The domain can only be values where therefore the function is continuous for the interval: 14. The domain can only be values where therefore The function is continuous for the interval: 15. The domain can be all real numbers except , therefore the function is continuous for the interval: 16. The domain can be all real numbers except , therefore the function is continuous for the interval: 17. (a) The function is increasing for the interval: (b) The function is decreasing for the interval: (c) The function is never constant, therefore: none (d) The domain can be all real numbers, therefore the interval: (e) The range can only be values where therefore the interval: 18. (a) The function is increasing for the interval: (b) The function is decreasing for the interval: (c) The function is constant for the interval: (d) The domain can be all real numbers, therefore the interval: (e) The range can only be values where therefore the interval: 19. (a) The function is increasing for the interval: (b) The function is decreasing for the interval: (c) The function is constant for the interval: (d) The domain can be all real numbers, therefore the interval: (e) The range can only be values where therefore the interval: 1 q , 3 4 . y 3, 1 q , q 2 . 3 1, 4 4 . 3 4, q 2 . 1 q , 1 4 . 3 3, q 2 . y 3, 1 q , q 2 . 3 1, 4 4 . 1 q , 1 4 . 3 4, q 2 . 3 0, q 2 . y 0, 1 q , q 2 . 1 q , 3 4 . 3 3, q 2 . 1 q , 1 2 ; 1 1, q 2 . 1 1 q , 3 2 ; 1 3, q 2 . 3 1 q , 0 4 . x 0, 3 0, q 2 . x 0, 1 q , q 2 . 1 q , q 2 . 1 q , 0 4 ; 3 0, q 2 3 0, q 2 ; 3 0, q 2 1 0, 0 2 3 0, q 2 1 q , q 2 1 q , q 2
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20. (a) The function never is increasing, therefore: none (b) The function is always decreasing, therefore the interval: (c) The function is never constant, therefore: none (d) The domain can be all real numbers, therefore the interval: (e) The range can be all real numbers, therefore the interval: 21. (a) The function never is increasing, therefore: none (b) The function is decreasing for the intervals: (c) The function is constant for the interval: (d) The domain can be all real numbers, therefore the interval: (e) The range can only be values where therefore the interval: 22. (a) The function is increasing for the interval: (b) The function is decreasing for the interval: (c) The function is constant for the interval: (d) The domain can be all real numbers except , therefore the interval: (e) The range can only be values where therefore the interval: 23. Graph See Figure 23. As x increases for the interval: , y increases, therefore increasing. 24. Graph See Figure 24. As x increases for the interval: y decreases, therefore decreasing.
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