If anyone could help with these practice problems that would be appreciated. I got about 200 practice problems and I was having trouble with these. Also if you could show me the steps so I can understand how you got the answer that would be appreciated.

\f(1) The graph of f ( x )=x 22 x1 is which of the following? (A) (B ) y y x 1 2 2 (C) ( D) y y 1 2 of the above (E ) Solution: x 1 x x 1 2 (2) Given the general quadratic equation: 2 a x + bx+ c=0 , which of the following is the discriminant? of theabove ( A ) b b 4 ac ( B ) b ( C ) b2 4 ac ( D ) b24 ac ( E ) 2a 2a 2 Solution: (3) Simplify i 2015 . of the above ( A )1 ( B ) 1 ( C )i ( D ) i ( E ) Solution: (4) Maximizing Area. A homeowner wants to fence a rectangular play yard using 80 feet of fencing. The side of the house will be used as one side of the rectangle. Find the dimensions for which the area is a maximum. of theabove ( A ) 20 ft by 20 ft ( B ) 20 ft by 40 ft ( C ) 40 ft by 40 ft ( D ) 40 ft by 80 ft ( E ) Solution: (5) Find a polynomial function of lowest degree with rational coefficients and the following as some of its zeros: 0, 3 , 1i . ( A ) f ( x )=x ( x + 3 ) ( x( 1i ) ) ( B ) f ( x ) =x 43 x 2+ x1 ( C ) f ( x )=x ( x+ 3 ) ( x( 1i )) ( x (1+i ) ) ( D ) f ( x )=x 52 x 4 x 3+ 6 x2 6 x of the above (E ) Solution: (6) Find the domain of f ( x )= x 2+ x 12 in interval notation. of the above ( A ) (,4 ) ( 3, )( B ) ( ,4 ] [ 3, )( C ) [ 0, ) ( D )( , ) ( E ) Solution: (7) Express the following as a single logarithm: 3 x+ log 5 y log 5 5 z 2 3 log 5 ( A ) log 5 ( x3 + y 3 /2 5 z ) ( B ) log 5 ( x 3 y3 5z ) of the above 3 3 x y 3 /2 ( C ) log 5 3 x + y5 z ( D ) log 5 ( E) 2 5z ( Solution: ) ( ) (8) A country's population doubled in 45 years. What is the exponential growth rate? Round your decimal answer to the nearest hundredth. of the above ( A ) 0.02 ( B ) 0.45 ( C ) 0.69 ( D ) 1.54 ( E ) Solution: (9) Find ( f o g )( x ) if g ( x ) =f 1 ( x ) is the inverse of the function of the above ( A ) 1 ( B ) x ( C ) fg ( D ) not enough information ( E ) f (x) . Solution: (10) Given the graph of the function y f 1 ( x ) . y=f ( x ) , find the domain of the inverse function 5 y=f ( x ) 4 3 2 1 1 2 3 4 5 of the above ( A ) [ 1, 7 ] ( B ) [ 2,5 ] ( C ) [ 2, 7 ] ( D ) [ 1,5 ] ( E ) Solution: 6 7 x (11) Two new cars, CAR A CAR B , are each driven at an average speed of 60 mph for an extended highway test drive of 2000 cars are miles . The diameters of the wheels of the two CAR A=15 and CAR B=16 , respectively. If the cars use tires of equal durability and profile, differing only by the diameter, which car will probably need new tires first? Explain you answer. of the above ( A ) CAR A ( B ) CAR B ( C ) CAR ABtogether ( D ) not enough information ( E ) Solution: (12) Find the exact value of sin of the above 33 5 58 1914 ( A ) ( B) (C ) ( D ) ( E) 5 58 58 33 Solution: (13) A Ferris wheel has a radius of 6 m and revolves at 1.5 rpm . What is the linear speed, in meters per minute? of the above m m m m (A)4 ( B) 9 ( C ) 25.13 ( D ) 56.55 ( E ) min min min min Solution: (14) Which of the following is not true? Explain your reasoning. ( A ) sin (x )=sin x ( B ) cos (x ) =cos x x ( E) ( C ) tan (x )=tan x ( D ) cot (x ) =cot of the above Solution: (15) Simplify 23 i of the above ( A ) 1 ( B )1 ( C ) i ( D )i ( E ) Solution: (16) Solve for x : 3 4 x =8 of the above 3 27 3 ( A ) 3 ( B ) 8 ( C ) ( D ) 2 ( E ) 2 8 Solution: (17) Solve log 3 x+ log 3 ( x +8 ) =2 . of the above ( A ) x=1x=9 ( B ) x=2 ( C ) x=1 ( D ) x=9 ( E ) Solution: (18) Find a such that f ( x )=a x 24 x+ 3 has a maximum value of 12. (This is not a multiple choice item.) Solution: (19) Suppose f ( x )=x 2 over the domain of f , then: x ( A ) f 1 ( x ) = x ( B ) f 1 ( x )= ( C ) f 1 ( x )=x 2 2 ( D) f 1 of the above ( x ) does not exist ( E ) Solution: (20) A rectangular piece of land to be developed as a memorial park has an area of 48 m The length of the lot is three times the width of the lot. A rectangular path whose width is 2 . x meters is to be constructed along the inner perimeter of the lot. The land contained within the path will be landscaped. The cost to construct the path is cost to landscape the inner field is this lot as a function of $ 2 per square meter and the $ 3 per square meter. Express the total cost to develop x , the width of the path. ( A ) C ( x )=12 x 296 x+144, x 0 ( B ) C ( x )=4 x 232 x +144, x 0 of the above ( C ) C ( x )=20 x 157 x+ 144, x 0 ( D )8 x 2 +64 x , x 0 ( E ) 2 Solution