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Test 2:

Q1. If f(x) = 4x3 + 7x2 - x + C and f(2) = 1, what is the value of C? a. C = 7 b. C = 11 c. C = 63 d. C = -57 Q2. Determine whether the relation represents a function. If it is a function, state the domain and range. a. function domain: {Ms. Lee, Mr. Bar} range: {Bob, Ann, Dave} b. function domain: {Bob, Ann, Dave} range: {Ms. Lee, Mr. Bar} c. not a function Q3. Answer the question about the given function. Given the function f(x) = x2 + 3x - 40, list the x-intercepts, if any, of the graph of f. a. (8, 0), (-5, 0) b. (8, 0), (5, 0) c. (-8, 0), (5, 0) d. (-8, 0), (1, 0) Q4. Answer the question about the given function. Given the function f(x) = -3x2 - 6x - 6, is the point (-1, -3) on the graph of f? a. Yes b. No

Q5. Match the graph to the function listed whose graph most resembles the one given. a. square function b. cube function c. square root function d. cube root function Q6. Based on the graph, find the range of y = f(x). <b </b a. [0, 6] b. [0, 6) c. [0, ] d. [0, ∞)

Q7. For the given functions f and g, find the requested function and state its domain. f(x) = 2x + 1; g(x) = 5x - 2 Find . a. ()(x) = ; {x|x ≠ } b. ()(x) = ; {x|x ≠ - } c. ()(x) = ; {x|x ≠ - } d. ()(x) = ; {x|x ≠ }

Q8. Given: E=I/R and P=IE with the values: P=10 and E=100 What are the values for I and R? a. R=.001, I=0.1 b. R=100, I=100 c. R=0.1, I=1000 d. Cannot be solved without the value of another variable. Q9. Determine whether the equation is a function. x + 8y = 5 a. function b. not a function Q10. Answer the question about the given function. Given the function f(x) = -7x2 + 14x + 4, if x = 1, what is f(x)? What point is on the graph of f? a. 11; (1, 11) b. 11; (11, 1) c. -17; (1, -17) d. -17; (-17, 1) Q11. Find the value for the function. Find -f(x) when f(x) = 2x2 - 5x + 3. a. -2x2 + 5x + 3 b. 2x2 + 5x + 3 c. -2x2 + 5x - 3 d. 2x2 + 5x - 3 Q12. Determine whether the relation represents a function. If it is a function, state the domain and range. <b </b a. function domain:{16, 20, 24, 28} range: {4, 5, 6, 7} b. function domain: {4, 5, 6, 7} range: {16, 20, 24, 28} c. not a function Q13. Determine whether the function is symmetric with respect to the y-axis, symmetric with respect to the x-axis, symmetric with respect to the origin, or none of these. y = -6x3 + 7x a. origin only b. y-axis only c. x-axis, y-axis, origin d. x-axis only Q14. Determine algebraically whether the function is even, odd, or neither. f(x) = a. even b. odd c. neither Q15. Determine algebraically whether the function is even, odd, or neither. f(x) = -5x2 + 4 a. even b. odd c. neither

Q16. Answer the question about the given function. Given the function f(x) = -2x2 + 4x + 3, list the y-intercept, if there is one, of the graph of f. a. -1 b. 3 c. -3 d. 5

Q17. Determine if the type of relation is linear, nonlinear, or none. a. None b. Linear c. Nonlinear Q18. Find the value for the function. Find f(x + h) when f(x) = . a. b. c. d. Q19. The cost C of double-dipped chocolate pretzel O's varies directly with the number of pounds of pretzels purchased, P. If the cost is $5442 when 5.0 pounds are purchased, find a linear function that relates the cost C to the number of pounds of pretzels purchased P. Then find the cost C when 6.0 pounds are purchased. a. C = 0.092P; $0.55 b. C = 10.884P; $65.30 c. C = ; $45.35 d. C = 9.07P; $45.35

Q20. The graph of a function is given. Decide whether it is even, odd, or neither. a. even b. odd c. neither

Q1. Write the standard form of the equation of the circle with radius r and center (h, k). r = 12; (h, k) = (5, 0) a. x2 + (y + 5)2 = 12 b. x2 + (y - 5)2 = 12 c. (x - 5)2 + y2 = 144 d. (x + 5)2 + y2 = 144 Q2. Write the expression in the standard form a + bi. a. i b. c. - d. - i Q3. Find the real solutions of the equation. x4 - 625 = 0 a. {-25, 25} b. {-5, 5} c. {-, } d. no real solution Q4. Find the real solutions of the equation by factoring. = a. {7, 1} b. {49, -1} c. {49, 1} d. {7, -1} Q5. Solve the equation. |x - 4| = 6 a. {-2, 10} b. {-10} c. {2, 10} d. no real solution

Q6. Find all the points having an x-coordinate of 9 whose distance from the point (3, -2) is 10. a. (9, 6), (9, -10) b. (9, 13), (9, -7) c. (9, -12), (9, 8) d. (9, 2), (9, -4) Q7. Find the slope and y-intercept of the line. y = - x + 2 a. slope = - ; y-intercept = 2 b. slope = - ; y-intercept = - 2 c. slope = 2; y-intercept = - d. slope = ; y-intercept = - 2 Q8. If (9, -2) is the endpoint of a line segment, and (6, 2) is its midpoint, find the other endpoint. a. (3, 6) b. (17, -8) c. (3, -6) d. (15, -10)

Q9. List the intercepts of the graph. <b </b a. (0, -2), (0, 2) b. (-2, 0), (0, 2) c. (0, -2), (2, 0) d. (-2, 0), (2, 0) Q10. Find the real solutions, if any, of the equation. Use the quadratic formula. 9x2 - 48x + 64 = 0 a. {, -24} b. {} c. {- } d. no real solution Q11. How much pure acid should be mixed with 2 gallons of a 50% acid solution in order to get an 80% acid solution? a. 3 gal b. 5 gal c. 8 gal d. 1 gal Q12. The manager of a coffee shop has one type of coffee that sells for $5 per pound and another type that sells for $11 per pound. The manager wishes to mix 70 pounds of the $11 coffee to get a mixture that will sell for $7 per pound. How many pounds of the $5 coffee should be used? a. 70 lb b. 105 lb c. 140 lb d. 210 lb Q13. A chemist needs 60 milliliters of a 45% solution but has only 35% and 65% solutions available. Find how many milliliters of each that should be mixed to get the desired solution. a. 20 ml of 35%; 40 ml of 65% b. 10 ml of 35%; 50 ml of 65% c. 40 ml of 35%; 20 ml of 65% d. 50 ml of 35%; 10 ml of 65% Q14. Find an equation for the line with the given properties. Express the answer using the slope-intercept form of the equation of a line. horizontal; containing the point (-7, -2) a. x = -7 b. x = -2 c. y = -7 d. y = -2 Q15. 4 - i is a solution of a quadratic equation with real coefficients. Find the other solution. a. -4 - i b. 4 + i c. -4 + i d. 4 - i Q16. Solve the equation. = 1 a. b. c. d. no real solution

Q17. Write the standard form of the equation of the circle with radius r and center (h, k). r = 3; (h, k) = (0, 0) a. x2 + y2 = 9 b. (x - 3)2 + (y - 3)2 = 9 c. x2 + y2 = 3 d. (x - 3)2 + (y - 3)2 = 3 Q18. Find the real solutions of the equation by factoring. x3 + 4x2 + 4x + 16 = 0 a. {-2, 2, -4} b. {4} c. {-4} d. {6} Q19. Inclusive of a 6.4% sales tax, a diamond ring sold for $1702.40. Find the price of the ring before the tax was added. (Round to the nearest cent, if necessary.) a. $108.95 b. $1593.45 c. $1811.35 d. $1600 Q20. Write the expression in the standard form a + bi. i-55 a. 1 b. -1 c. -i d. i