# Convert to an exponential equation

A) 8) - = 1 log 8) Convert to an exponential equation. -2 9 x D) -9 x C) -2 9 y B) - x A) 7) - x h(x) 7) Find the vertical asymptote(s) of the graph of the given function. None D) - y C) y B) 5 y A) 6) - + 3 f(x) 6) None D) y C) - y B) y A) 5) x - + x f(x) 5) Find the horizontal asymptote, if any, of the rational function. 5; 4; 4 D) 5; 5; 5 C) 5; 4; 3 B) 5; 5; 4 A) 4) - - - g(x) 4) For the function find the maximum number of real zeros that the function can have, the maximum number of x Quadratic; D) Cubic; C) Constant; B) Cubic; A) 3) 8 0.14 + 10 - 7 f(x) 3) Classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading 4 + 1 - D) 4 - 1 - C) 4 - 1 B) 4 + 1 A) 2) 12 - 3 2) Simplify. Write your answers in the form of a [ D) [ C) [ B) ( A) 1) x f(x) 1) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. For the pair of functions, find the indicated domain. = 2x - 5, g(x) Find the domain of g 3 - i 4 17 , 4 ) 17 i = + f. 4 coefficient, and the degree of the polynomial. = x 2 - x 8 3 x ; 3 - ; 8 - x 8 ; 3 - ; 3 x 3 - 17 , 0.5 + ) 4 , ) bi, where a and b are real numbers. 17 i 17 17 i - 10 7 x ; 2 - ; 10 7 ; 1 ; 2 that the function can have, and the maximum number of turning points that the graph of the function can have. = = = 5 3 = x 2 5 4 = x x = 1 2 2 (x = 9 3 x x 2 5 5 2 - 9 3 + 2 100 )(x 10, x 125 125 3 = 3 6 + 2 x ) 10 + 3 = = = 1 125 1 , y = = = = 5 0 5 125 0.5 , 17 = - 3 ) , x 17 = 125 i - intercepts 3 16) A computer company invested a total of $ 16) Solve the problem. Long ANSWER. Show all your steps for these problems. Remember answer only 5. 3 D) 5 C) 5 B) 1 A) 15) b log 15) e D) 5 C) 5 B) 1 A) 14) ln e 14) Simplify. log D) log C) log( B) - - log (y A) 13) - - log (y 13) ln D) 8 - ln C) 8 - ln( B) ln A) 12) 1 12) Express as a single logarithm and, if possible, simplify. Domain: D) 6 Domain: C) Domain: ( B) - Domain: A) 11) 6 g(x) 11) Find the domain and the vertical asymptote of the function. 1/ D) 10 C) 2 B) - A) 10) 1 log 10) 1 D) 10 C) 0 B) 22 A) 9) log Find the value of the expression. 9) 2 22 2 = ln x 5 b 1 32 5 ln (x - 2 2 ln 8 - x 8 3y + 2 log (y 5 (y (y - - ) ( ( - - 6 6 , , (0, 2) , - 3y 2 2) 1) ); vertical asymptote: x ); vertical asymptote: none ); vertical asymptote: x ); vertical asymptote: x log (y + 1) 2) 2 1) x ) = = = 0 312 6 x 2 - 3y (y (y ln e 2 + - + 3) 2) 1) million in research and development in its scanners and video digitizers. If the amount the company spent on research and development on scanners was $ 123 million more than was spent on research and development on its video digitizers, how much in fact did the company spend on research and development on its scanners? 5 5 8 x 4 21) Suppose that $ 21) Solve the problem. 20) - 3 f(x) 20) Find the inverse of the function. 19) + - If a rocket is propelled upward from ground level at 98 m/sec, its height in meters after t 19) Solve. 18) A ladder is resting against a wall. The top of the ladder touches the wall at a height of 18) Solve the problem. 17) 7 8 Solve the inequality and graph the solution set. 17) x - 3 x - 15 Find the length of the ladder if the length is seconds is given by than 445.9 m? = x 2 2900 h = 4.9t 2 is invested at 98t. 5 6 ft more than its distance from the wall. During what interval of time will the rocket be higher % interest, compounded semiannually. Find the function for the amount of money after t years. 18 ft.

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