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Functions

Functions. Do Now #2 . D: [-2, 2] R: [-3.5, 3.5] NF. D :  R :  F. y. y. 5. 5. x. x. -5. -5. -5. -5. 5. 5. Tell if a function. Give Domain and Range. D:  R: [0, ) F. {(2, 7), (5, -2), (7, 0), (5, -20 )} D: {2, 5, 7} R: {-20, -2, 0, 7} NF . y. 5. x. -5. -5.

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Functions

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  1. Functions Do Now #2

  2. D: [-2, 2] R: [-3.5, 3.5] NF D: R: F y y 5 5 x x -5 -5 -5 -5 5 5 Tell if a function. Give Domain and Range.

  3. D: R: [0, ) F {(2, 7), (5, -2), (7, 0), (5, -20)} D: {2, 5, 7} R: {-20, -2, 0, 7} NF y 5 x -5 -5 5 Tell if a function. Give Domain and Range.

  4. Give the range {12, 7, 2, -3, -8} Write the relation as a set of ordered pairs. {(-2, 12), (-1, 7), (0, 2), (1, -3), 2, -8)} Graph the relation. y 5 x -5 -5 5 Given that f(x) = -5x + 2 has the domain = (-2, -1, 0, 1, 2}

  5. x = 0 (y-axis) Not Function D: {0} R:  y 5 x -5 -5 5 Tell if a function. Give Domain and Range.

  6. y = 5 Function D: R:{5} y 5 x -5 -5 5 Tell if a function. Give Domain and Range.

  7. y = 2x2 + 1 Function D:  R: [1,) Translation of x2 x y -1 3 0 1 1 3 y 5 x -5 -5 5 Tell if a function. Give Domain and Range.

  8. f(j(3)) j(3) = 5 – 3 = 2 f(2) = -3(2) + 2 = -4 f(x) + j(x) -3x + 2 + 5 – x -4x + 7 If f(x) = -3x + 2; j(x) = 5 – x find

  9. 5 • g(x) = 5 x= 5 x f(g(x)) g(x) = x 5 f( x) = 5 -3( x) + 2 5 -3x + 2 5 If f(x) = -3x + 2; g (x) = x/5

  10. f(x + h) – f(x) h -3(x + h) + 2 – (-3x + 2) h -3x – 3h + 2 +3x – 2 h -3x – 3h +2 +3x –2 h -3 f(f(g(5))) g(5) = ( 5) = 5 1 f( 1) = -3(1) + 2 = -1 f(-1) = -3(-1) + 2 = 5 If f(x) = -3x + 2; h(x) = -2x2 + 9g (x) = x/5; find

  11. (0, 3.5) (-2, 0) y y 5 5 x x -5 -5 -5 -5 5 5 Graph the inverse of:

  12. (0, 3.5) (-2, 0) (3.5, 0) (0, -2) y y 5 5 x x -5 -5 -5 -5 5 5 Graph the inverse of:

  13. {(2, 7), (5, -2), (7, 0), (5, -20)} {( , ), ( , ), ( , ), ( , )} {(7, 2), (-2, 5), (0, 7), (-20, 5)} Give the inverse of:

  14. y y 5 5 x x -5 -5 -5 -5 5 5 Give (or graph) the inverse of:

  15. y = 5 x = 5 Give (or graph) the inverse of:

  16. f(x) = -3x + 2 y = -3x + 2 x = -3y + 2 x – 2 = -3y x– 2 = y -3 Which of these inverses are functions? Only f(x) = -3x + 2 Give the inverse of:

  17. f(x) = -(x + 2)2 y = x2 y y 5 5 x x -5 -5 -5 -5 5 5 Sketch

  18. y = x2 f(x) = (x + 2)2 y y 5 5 x x -5 -5 -5 -5 5 5 Sketch

  19. y = (x + 2)2 f(x) = -(x + 2)2 y y 5 5 x x -5 -5 -5 -5 5 5 Sketch

  20. f(x) = -√x – 1 y = √x y y 5 5 x x -5 -5 -5 -5 5 5 Sketch

  21. y = √x y = √x – 1 y y 5 5 x x -5 -5 -5 -5 5 5 Sketch

  22. y = √x – 1 f(x) = -√x – 1 y y 5 5 x x -5 -5 -5 -5 5 5 Sketch

  23. f(x) = -x3 + 2 y = x3 y y 5 5 x x -5 -5 -5 -5 5 5 Sketch

  24. y = x3 y = -x3 y y 5 5 x x -5 -5 -5 -5 5 5 Sketch

  25. y = -x3 f(x) = -x3 + 2 y y 5 5 x x -5 -5 -5 -5 5 5 Sketch

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