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Practice Test 1

Practice Test 1 - x x →[HINT factor the top and bottom...

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PRACTICE TEST 1 1. Find the inverse function, ( 1 f x - of ( 2 f x x = - + 2. Find the natural domain [give answers in interval notation where reasonable]: a) the functions 1 and f f - given in problem 1. b) ( 29 2 3 9 x g x x - = c) ( 29 2 1 4 h x x = - d) ( 29 2 1 r x x = - USE A SIGN GRAPH 3. Find the equation of the line passing through the point (4, -2) and perpendicular to the line 2 3 4 x y - = . Write the answer in slope-intercept form. 4. Sketch the graph of 2 1 2 y x = - - + by translating, reflecting, compressing, and stretching the graph of y x = [State which of these you used] GRAPH AT LEAST 3 POINTS, INCLUDING ALL INTERCEPTS. 5. Let ( ( ( ( 2 2 3 and 5 3 . Find and . f x x g x x f g x g f x = + = - 6. Find ( ( ( ( ( 1 , 0 , 3 , 1 if 3 2 f f f f x f x x - - = + 7. Find ( ( f x h f x h + - and simplify your answer as much as possible if ( 2 3 2 f x x x = - 8. Find the limits: a) 2 3 2 6 lim 12 x x x x - - [HINT: factor the top and bottom first]
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Unformatted text preview: x x →-+ -[HINT: factor the top and bottom first] b) 2 1 lim 2 x x →--NOTE THAT #9 IS CHANGED. 9. Evaluate without using a calculator: 1 4 cos 2tan 3- - 10. True or false: a) If ( 29 ( 29 ( 29 lim and lim both exist, then lim exists. x a x a x a f x f x f x-+ → → → b) If ( 29 ( 29 ( 29 lim exists,then lim and lim both exist. x a x a x a f x f x f x-+ → → → c) The graph of the exponential function with base b passes through the point (1, 0) d) The domain of the logarithmic function is x ≥ 11. Find the inverse function of ( 29 3 2 f x x = --and its domain. 12. Write ( 29 3 5 f x x = --in piecewise form. 13. Find the inverse function of ( 29 2 4 , f x x x = -≤ and find its domain and range....
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