SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 1) A bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 6% 1) per year. If the interest received was $6,040, how much was loaned at 13%? 2) The manager of a coffee shop has one type of coffee that sells for $9 per pound and another 2) type that sells for $13 per pound. The manager wishes to mix 70 pounds of the $13 coffee to get a mixture that will sell for $10 per pound. How many pounds of the $9 coffee should be used? 3) Two friends decide to meet in Chicago to attend a Cub's baseball game. Rob travels 3) 78 miles in the same time that Carl travels 64 miles. Rob's trip uses more interstate highways and he can average 7 mph more than Carl. What is Rob's average speed? 4) Tracy can wallpaper 2 rooms in a new house in 4 hours. Together with her trainee they can 4) wallpaper the 2 rooms in 3 hours. How long would it take the trainee working by herself to do the job? List the intercepts for the graph of the equation. 5) x2 + y - 81 = 0 5) 6) y = x2 + 7x + 10 6)List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of these. 7) 7) THHHHH 10 8) 8) #HHHHHHHHHH HHHHHHHH 10 *Draw a complete graph so that it has the given type of symmetry. 9) origin 9) Determine whether the graph of the equation is symmetric with respect to the xaxis, the yaxis, andfnr te origin. 1D]y2x'I:D 10) 1119x2+y2=9 11) my: 3" 12) 32 +64 Find the slope of the line. 13) 13) -10 10 3 Find the slope of the line containing the two points. 14) (-7, -6); (-5,2) 14) Graph the line containing the point P and having slope m. 15) P = (-5, -5); m = 15) 13 -10 10 xFind an equation for the line with the given properties. 16) Slope undefined; containing the point - -. 6 16) Find the slope-intercept form of the equation of the line with the given properties. 17) Horizontal; containing the point - -, 3 17) 18) Slope = 6; containing the point (-2, -6) 18 ) 19) x- intercept = 4; y-intercept = 7 19) Find an equation for the line with the given properties. 20) Parallel to the line 9x + 5y = 68; containing the point (7, 9) 20) w 21) Parallel to the line -5x + 4y = -2; x-intercept = 5 21) 22) Perpendicular to the line x - 9y = 6; containing the point (5, 3) 22) 23) Perpendicular to the line -6x - 5y = -5; y-intercept = -4 23)Determine whether the relation represents a function. If it is a function, state the domain and range. 24) 24) 25] 25) Determine whether the equation defines y as a function of x. 25) y2 = 4 _ x2 26) 2?]y25x2-6x+6 2?) Find the value for le function. x2 - 6 28) Find fljZ) when x] = x + 3 . 23) 29] Find f(x) when f[x} = 3x2 + 4x 5. 29) x2 - 4 30) Find x + 1} when x} 2 30) x+4' 3'1] Find HEX] when fx] : )8x2 3x. 31) Find the domain of 'lE function. x 32] x} 2 K2 + 19 32) 1-2 33 hm = J x3 _ 64x 33) 34) f(x) = \\25 - x 34) 4 X 35) 35) X - 8 Solve the problem. 36) Find (f - g) (5) when f(x) = 4x2 - 1 and g(x) = x + 7. 36) 37) Find - (-5) when f(x) = 2x - 5 and g(x) = 5x2 + 14x + 3. 37) Find and simplify the difference quotient of f, f(x + h) - f(x) , h=0, for the function. h 38) f(x) = 4x2 38) 39) f(x) = 1 39) 2xDetermine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the yaxis, or the origin. an] 40) 4'1] 41) IJ'I The graph of a function f is given. Use the graph to answer the question. 42) For what numbersx is fx] = D? 42) A 43) 44) How often does the line y = 4 intersect the graph? 44) 20 y X - 20 20 -20 Answer the question about the given function. 45) Given the function f(x) = 2x2 + 4x - 7, is the point (-2, -3) on the graph of f? 45) 46) Given the function f(x) = -6x2 + 12x + 7, if x = 1, what is f(x)? What point is on the graph of 46) f? 47) Given the function f(x) = x2 + 4x - 96, list the x-intercepts, if any, of the graph of f. 47) 48) Given the function f(x) = *2 + 8 ", list the y-intercept, if there is one, of the graph of f. 48) x - 5The graph of a function is given. Decide whether it is even, odd, or neither. 49) 49) 8 10 x 50) 50) -10 -8 6 417 1 2 4 6 8 10 x\fThe graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. 55) (- 1, 0) 55) 56) (0, 1) 56)Use the graph to find the intervals on which it is increasing, decreasing, or constant. 57) 57) w . (-3, 1) (1,1) 1 + (2, 1) -5 -4 -3 -2 -1 0 1 2 3 4 5' (-2, -1) (3, -1) (-1, -1) (4,-2) -3 The graph of a function f is given. Use the graph to answer the question. 58) 58) 2239 -10(-95, 0) 40,0) 10 * (-2.5, -33) (,-25) -10+ Find the numbers, if any, at which f has a local minimum. What are the local maxima?For the graph of the function y = x], find the absolute maximum and the absolute minimum, if it exists. 5?] (5 . 6) 60] (3.5) Find the average rate of change for the function between the given values. 'l] x) = x? + 5:: from 5 to ".F 62) [[x) = 2x - 1: from 1 to 5 Find an equation of the secant line containing (I, fill) and {2, {{2}}. as.) rm = 134 59) 61) 62) Graph the function. 64) 64) f (x) = J-x +3 ifx 2 65) 65) f ( x ) = J - x +2 x