Precalculus Fall Final Eam EVIEW 016-017 1. Model the following situation with a linear equation in slope-intercept form. 4 The gas tank in a truck holds 15 gallons. The truck uses gallon per mile. 7. Evaluate the function at the specified value(s) of the independent variable and simplif. 5 gbg ; gbn g. A publishing compan estimates that the average cost (in dollars) for one cop of a new scenic calendar it plans to produce can be approimated b the function 175. 500 Cbg where is the number of calendars printed. Find the average cost per calendar when the compan prints 0 calendars. 4. Find the domain of the function. f 4 7 5. Use a graphing utilit to find an relative minimum or maimum values of the function. f 1 6 6. Describe the transformation that occurs in the function. b g b g g 5 7. If f 5 and g 4, find (a) g f 8. Find an equation that represents as a function of. b gb g and (b) b f ggbg. [A] [B] 7 [C] 8 [D] 8 7 0 b g that represents as a function of. mb 1 g, b8 1g, b8 1g, b1 8gr [C] mb 1, g, b, 8g, b 1, 1gr mb 1 g, b 1g, b1 1gr [D] l 1,, 8, 1q 9. Find a set of ordered pairs, [A],,,, [B],,, b g b g b g b g. Construct a model of the relation m 6,,, 1, 6, 1, 7, 6r. Determine whether the relation is a function.
Precalculus Fall Final Eam EVIEW 016-017 11. Evaluate the function at the specified value(s) of the independent variable and simplif. f ; f 9 b g 1. Find the domain of the function. 5 hbg 6 1. Find f g c h b gb g and b f ggb g 4 for f 5 and g 1 4 5. 14. If fbg and gbg 5, find b f ggbg. 15. Find the inverse of the function. f 5, 8, 8, 5, 8, 9 b g mb g b g b gr 16. The table shows Christine s best javelin throws each ear. Use a graphing utilit to determine an equation for the line of best fit for the data. Use 0 for 1989. Year 1989 1990 1991 199 199 1994 1995 1996 Distance (m) 6.5 4.75 4.5 6.5 7.75 9 40.5 40.5 17. Find the equation of a quadratic function whose graph opens upward. [A] f b g b g 8 11 [C] fbg 9b 5 9g [B] f 8 9 [D] f 9 18. Find the graph of the quadratic function. f [A] [B]
Precalculus Fall Final Eam EVIEW 016-017 [C] [D] 19. Sketch the graph of the quadratic function and list an -intercepts. f 0. Write the equation of the quadratic function in standard form and find the verte of the graph. f 8 7 1. Upco Manufacturing estimates that its profit P in hundreds of dollars is P 6 1 where is the number of units produced in thousands. How man units must be produced to obtain the maimum profit?. Find the equation of the function graphed below. [A] f [B] f [C] f [D] f. Find a polnomial function that has zeros at 1,, and 1 and matches the graph below.
Precalculus Fall Final Eam EVIEW 016-017 0 1 [A] f [B] f [C] f [D] f 4. Factor 8 given that is one of its factors. 5. Find the standard form of the given comple number. 1i 4i 6. Find all the zeros of the function. 4 f 4 4 6 45 7. Determine the domain of the function. f b g b 1 g 8 6 b gb g 8. Find the horizontal asmptotes, if an, of the graph of f 4 4 9. 9. Find the vertical asmptote(s), if an, for f 5. 4 0. The population of an endangered animal species is given b b g b g t f 70 08. where 70 is the number of animals currentl in the population and t is the time in ears. The population is decreasing at an annual rate of 17%. What is the estimated number of animals in this population in 5 ears? 1. Sketch the graph of the function. f 1
Precalculus Fall Final Eam EVIEW 016-017. Sketch the graph of the logarithmic function. f log 6 b g b g. Use the properties of logarithms to epand the epression. (Assume all variables are positive.) 6 log 8 4. Solve the eponential equation algebraicall. 0. 04 6e 41 71 Find the value of. b g 5. log 6 4 4 b g 6. log log Find the value of. 7. 5ln 6 11 8. An automobile manufacturer is introducing a new fuel-efficient model and estimates the demand for the car as N = 57,000 lnb6t 7g where N is the estimated number of cars to be sold and t is the number of ears after the car is introduced. When will the demand be 15,000 cars? 9. Find a graph that models an eponential growth function. [A] [B]
Precalculus Fall Final Eam EVIEW 016-017 [C] [D] 40. Earl in the 1900s, an airplane manufacturer was able to increase the time its planes could sta aloft b constantl refining its techniques. Use a graphing utilit to find an eponential equation that best models the data. Assume is the number of ears after 19 and is the time aloft in hours. Years after 19 1 4 5 Time aloft (h) 0. 7 1.. 5 8. 4. 4 58. 6 41. Solve the sstem b the method of substitution. 8 S T 4. Solve the sstem b elimination. 6 6 4 S T 6 4. Use back-substitution to solve the sstem of linear equations. 7 7 z 5 S T 9 z 5 z 4 44. Solve the sstem of linear equations using Gaussian elimination. 7 z 6 S T 5 5 z 1 z 45. Determine the order of the matri.
Precalculus Fall Final Eam EVIEW 016-017 46. Find a matri that is equal to the matri below. [A] [B] 7 7 4 1 5 4 0. 1 5 1 5 49 7 4 5 0. 5 0. 1 5 0. 14 49 4 5 0. 5 0. 1 5 0. [C] [D] 49 7 4 65 01. 0. 1 5 0. 49 7 4 5 0. 5 0. 1 5 0. 0 47. Evaluate the epression. 4A 7B A 1 5 4 0 7, B 0 5 7 8 6 1 5 4 6 48. Find the inverse of the matri (if it eists). 4 5 0 0 1 0 0 49. Find the determinant of the matri. 4 5 5 4 1 1 50. Find the product, if possible. AB, if A 0 4 1, 1 0 B 1 5 0 1 1