121D Practice Test #

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1 D Practice Test # College Algebra / Math D GARAGE (Prof. Vasan) Student Name/ID:. Write the epression as a single logarithm. 5log 8 w + 5 log 8 3log 8 z. Solve for. log + 3 = log + 6 ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. /

2 3. Graph the circle = For the real-valued functions g = + 5 and h = 9, find the composition g h and specif its domain using interval notation. g h = Domain of g h: 5. Solve for = ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. /

3 6. Solve for v. v + 5 = 7. The graph of f (in blue) is translated a whole number of units horizontall and verticall to obtain the graph of h (in red). The function f is defined b f =. Write down the epression for h f h - -5 ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. 3 /

4 8. A ball is thrown from an initial height of 3 feet with an initial upward velocit of 7 ft/ s. The ball's height h (in feet) after t seconds is given b the following. h = 3 + 7t 6t Find all values of t for which the ball's height is 7 feet. Round our answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.) initial height h ground 9. 8 Graph the eponential function f = ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. /

5 0. A model rocket is launched with an initial upward velocit of 35 ft/ s. The rocket's height h (in feet) after t seconds is given b the following. h = 35 t 6t Find all values of t for which the rocket's height is 5 feet. Round our answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.) h ground. Solve the following inequalit Write our answer using interval notation.. Write the epression as a single logarithm. + log a w log a z log a ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. 5 /

6 3. The number of bacteria in a certain population increases according to a continuous eponential growth model, with a growth rate parameter of 6.9% per hour. How man hours does it take for the size of the sample to double? Note: This is a continuous eponential growth model. Do not round an intermediate computations, and round our answer to the nearest hundredth.. Find the equation of the quadratic function f whose graph is shown below ,, Solve for. 7 = Solve. w > 9 ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. 6 /

7 7. A laptop computer is purchased for $000. Each ear, its value is 75% of its value the ear before. After how man ears will the laptop computer be worth $00 or less? (Use the calculator provided if necessar.) Write the smallest possible whole number answer. 8. The one-to-one functions g and h are defined as follows. g = 8, 6,, 7, 5, 9, 7, h = 3 + Find the following. g 7 = h = h h 8 = 9. 3 Suppose H = 7. Find two functions f and g such that f g = H. Neither function can be the identit function. (There ma be more than one correct answer.) 0. Solve. u 6 7 < 7 ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. 7 /

8 . Graph the eponential function g = Solve for. log 7 = log ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. 8 /

9 3. Suppose that the functions f and g are defined as follows. f = g = Find f g and f g. Then, give their domains using interval notation. f g = Domain of f g: f g = Domain of f g:. Find an equation of the circle that has center, and passes through 6, For the real-valued functions g = + 5 and h = + 5, find the composition g h and specif its domain using interval notation. g h = Domain of g h: ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. 9 /

10 6. Find a polnomial f of degree 3 that has the following zeros., 9, 0 Leave our answer in factored form. 7. Graph the parabola. = Find the domain of the function. 7 f = log 3 + Write our answer as an interval or union of intervals. ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. 0 /

11 D Practice Test # Answers for class College Algebra / Math D GARAGE. log 8 w 5 z 3 5. = g h = 5 Domain of g h:,, 5. = 7, 5 6. v = 9, 9 7. = h + 8. t = 0.35 seconds or t = 0.7 seconds ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. /

12 t = 0.67 seconds or t =.0 seconds., 3 5,. log a w z = f 5. = 5, 6. w < or w > 7. 6 ears + 8. g 7 = h = 3 h h 8 = 8 ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. /

13 9. f g = 3 = 7 0. < u < 3.. = 8 3. f g = Domain of f g :, f g = Domain of f g :,. + + = ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. 3 /

14 5. g h = Domain of g h : 5, 6. f = Domain:, ALEKS D Practice Test # - /0/05 09:9 AM MST - Copright 05 UC Regents and ALEKS Corporation. P. /

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