A+ Answers

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.