MATH FINAL EXAM

# MATH FINAL EXAM - MATH 1111FINAL EXAM Material from Test#1...

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MATH 1111—FINAL EXAM Material from Test #1 1. Graph the equation. Let x = -3, -2, -1, 0, 1, 2, and 3 a. y = │x│- 2 x y -3 -2 -1 0 1 2 3 Use the graph to determine the x and y intercepts 2. x-intercepts = 3. x-intercepts = y-intercepts = y-intercepts = 4. Evaluate the functions and simplify F(x) = 5 – 7x

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a) f(4) b) f(x + 3) c)f(-x) 5. g(x) = - x 4 if x 4 g(x) = - < 4 x if x 4 a. g(13) b. g(0) c. g(-3) Graph two functions and describe how they are related 6. f(x) = x g(x) = x + 3
7. f(x) = x 2 g(x) = x 2 + 1 8. Use the graph to find the indicated value F(2) =

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9. Use the graph to determine the function’s domain and range and determine whether the intervals are increasing or decreasing 10. Determine the relative maximum of a function X =
F(x) = 11. Determine whether a function is odd or even or neither a. F(x) = x 3 – 5x b. F(x) = x 4 – 2x 2 + 1 c. F(x) = 2x - 1 x2 12. Find the “difference quotient” + - ( ) fx h f x h and simplify a. F(x) = -2x 2 + x +10

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13. Given the two points find the slope a. (3,2) and (5,1) 14. Given the slope and 1 point find the equation a. Passing through (-3,2) with slope -6 15. Given the equation, determine the slope and y-intercept a. F(x) = -4x + 5 16. Graph the equation, determine the intercepts
a. Y= - 23x 1 x-intercepts = y-intercepts = 17. Determine parallel and perpendicular lines a. Passing through (4, -7) and parallel to the line whose equation is 3x + y – 9 = 0 b. Passing through (-3,6) amd perpendicular to the line whose equations is y = + 13x 4 18. Find the average rate of change of f(x) = x 2 – 4x from x 1 = 5 to x 2 = 9 - ( ) - fx2 f x1 x2 x1 19. Identify the name of a function by its graph

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20. Use transformations to graph the given function f(x) = x 2 g(x) = x 2 + 2 y(x) = ( - ) + 12 x 1 2 1 21. find the domain to each function a. f(x) = x 2 + 6x – 3 b. g(x) = - - x 2x 5 22. given 2 functions, find (f ○ g) (x) and (g ○ f) (x) a. f(x) = x 2 + 3, g(x) = 4x -1 b. f(x) = x , g(x) = x + 1
23. determine if a function is (f ○ g) (x) or (g ○ f) (x)

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MATH FINAL EXAM - MATH 1111FINAL EXAM Material from Test#1...

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