Winston-Salem/Forsyth County Schools



Unit 1 Inverse FunctionsThe figure below shows the graph of the function g(x). 200977529781500If fx=2x+3, how is g(x) related to f(x)?gx=fx-4gx=fx+4gx=fx-4gx=f(x+4)The cubic function y=x3 is changed to y=-2x3-7. What effect will this have on the function?The graph will be reflected in the y-axis, shifted up 2 units and vertical stretch by a factor of 7.The graph will be reflected in the x-axis, shifted up 7 units and vertical stretch by a factor of 2.The graph will be reflected in the x-axis, shifted down 7 units and vertical stretch by a factor of 2.The graph will be reflected in the y=axis, shifted down 2 units and vertical stretch by a factor of 7.The graph fx=3x is translated 2 units to the right and down 6 units resulting in g(x). Which of the following functions represents g(x)?gx=3(x-2)-6C. gx=3(x-6)-2gx=3(x+2)-6D. gx=3(x+6)-24. What is the inverse, f-1(x), of the function fx=3x-7?f-1x=x-73f-1x=x+73f-1x=-3x+7f-1x=7x-35. Which of the following is the inverse function of y=3x-22?y=x2+23y=2x2+23y=4x2+23y=x236. What is the inverse of fx=x3+5?f-1x=-x3-5f-1x=3x-5f-1x=3x3-5f-1x=x-357. What is the inverse of the equation y=3x-4, x≥43?y=x2+43, x≥0y=4-x3, x≤4y=-x2+43, x≥0y=-x+43, x≥-42667008890008. 22860037465009. 28575088900010. 3524252851150011. Unit 2 Exponential & Logarithm FunctionsWhich expression represents the inverse of fx=8x+13?x8-1318x+13log21xlog8x-132857508890002. 30480060960003. 30480040640004. 26670086995005. 219075287020006. 7. 133350190500Unit 3 Polynomials1. Given the function Px=x3+4x2+kx+15, for what value of k is (x+3) a factor of P(x)?-26-88262. When the polynomial 4x4-13x2-2x+1 is divided by the polynomial (x-2), what is the remainder?-2319173. If px=x4+3x3-2x2+4 and qx=x+1, then g(x) is a polynomial that equals p(x)q(x). What is the remainder of g(x) when it is divided by (x-2)?-4612224. What is the remainder when px=x3-7x-6 is divided by (x-4)?-42-189305. Which of the following functions has the same zeros as the function fx=x2-6x+8?gx=x-4gx=x2-5x+6gx=2x2-12x+16gx=x3-6x2+8x6. Which function, when graphed, would have the same zero(s) as the function below?206692512573000fx=x(x+6)fx=x(x-6)fx=(x+6)2fx=(x-6)27. What are the zeros of the polynomial function below?fx=x2-16x+5x-5, -4, 0, 4-4, 0, 4, 5-5, -4, 4-5, 0, 48. Let the function fx=(x+4)(x2-36)(x2+25). What are all the x-intercepts for the graph of f(x)?-4, 6-6, -4, 6-6, 4, 6-6, -5, 4, 5, 69. Which of the following describes the end behavior of 2x4-20x2+18?x→-∞ fx→+∞, x→+∞ fx→+∞x→-∞ fx→+∞, x→+∞ fx→-∞x→-∞ fx→-∞, x→+∞ fx→+∞x→-∞ fx→-∞, x→+∞ fx→-∞10. Which of these functions best represents the graph shown below?fx=(x+2)(x-3)fx=(x+3)(x-2)fx=x(x+2)(x-3)fx=xx+3x-223336252660650011. Which function best represents the graph below?gx=xx-22(x+3)gx=x-22(x+3)gx=xx-2x+3gx=(x-2)(x+3)3333751739900012. 28575000013. 31432595250014. 32385000015. 295275139700016. Unit 4 Modeling with Geometry31897712198001. 35087443165002. 316230-1270003. 28707921059004. 5. Which of these properties is enough to prove that a given parallelogram is also a rectangle?The diagonals bisect each other.The opposite angles are equal.The opposite sides are equal.The diagonals are congruent.2762259525006. 2667009525007.266700284480008. Unit 5 Rational FunctionsWhich fraction is equal to y2+5y+4y2+19y+18 in simplest form?937418y+4y+185y+419y+18What is 2x2-182x2+18 reduced to lowest terms?x-3x+3x+3x-3(x-3)(x-3)x2+9(x-3)(x+3)x2+9What value must be substituted for k so that x+4x2+7x+k can be reduced to 1x+3?341228Which of the following is equivalent to x3-7x2x-7?xx2xx-1-6xx-75. Solve 52x-2=15x2-1x=1B. x=5C. x=1, 5D. no solution6. Solve y5+y2=7x=2B. x=5C. x=7D. x=107. Solve xx-5+3x+2=7x(x-5)(x+2)x=-3B. x=5C. x=-3, 5D. no solution20955010160008. 30524310042009. 10. Which is a solution to the equation x+ 3x -4= x + 2x-3A) ? B) -1 C) 1D) 211. Which expression is equivalent to x + 3x2- 4 ÷ x + 7x2+9x+143/2B) 1C) x+10x-2D) x+3x-229527544450012. 27622595250013. Unit 6 Reasoning with Geometry: Circles25467914576001.2977121002. 285750277495003. 27622511430004. 32385012065005. 3333759525006. 323850286385007. 29527510795008.Unit 7 Trigonometric FunctionsWhich function has a period of 4π and an amplitude of 8?y=-8sin8θC. y=-8sin12θy=8sin2θD. y=4sin8θ2. Which function is a phase shift of y=sinθ by 5 units to the left?y=5sinθB. y=sinθ+5C. y=sin(θ+5)D. y=sin5θ3. Which function is a translation of y=cosθ by 5 units down?y=-5cosθB. y=cos(-5θ)C. y=cos(θ-5)D. y=cosθ-5Which function is a translation of y=sinθ that is π3 units up and π2 units to the left?y=sin(θ+π3)+π2C. y=sinθ+π2+π3y=sinθ-π2+π3D. y=sinθ-π3-π25. The diameter of a circle is 8 meters. A central angle of the circle intercepts an arc of 12 meters. What is the radian measure of the angle?32 B. 2 C. 3 D. 46. A circle has a central angle whose radian measure is 2 and an arc length of 6 meters. What is the diameter of the circle in inches?2 B. 3 C. 6 D. 127. In a circle, an arc of length 8π is intercepted by a central angle of 2π3 radians. What is the radius of the circle?3π16 cm B. 16π3 cm C. 16π23 cm D. 12 cm8. The circle shown below has a diameter of 18 centimeters (cm). If the dotted arc is 33 cm long, what is the measure of angle θ in radians?311B. 611C. 116D. 1139. What is the approximate length of the arc subtended by an angle of 4π3 radians on a circle with a radius of 6.00 meters?12.57 meters14.14 meters25.13 meters28.13 meters10. Max put the tip of his pencil on the outer edge of a graph of the unit circle at the point (-1, 0). He moved his pencil tip through an angle of π6 radians in the counterclockwise direction along the edge of the circle. At what angle of the unit circle did Max’s pencil tip stop in radians?7π6 B. π6 C. 5π6 D. 11π611. How many radians are 1800o?1010π180180π43271264636980012. A mark of T is at the top of a small wheel. The graph shows h, the height in centimeters of the T above the ground as a function of x, the angle the wheel has turned.Which function is best represented by the graph?hx=12cosxhx=12sinx-x2hx=6sinx+π2+6hx=6cosx+π2+648266356025710013. The windshield wiper blade on Julia’s car is 21 inches long. Each swipe of the wiper makes an angle of 85 degrees as pictured below. To the nearest inch, how far does the tip of the windshield wiper travel with each swipe of the blade?21 inches30 inches31 inches33 inches14. Sally is creating a flower bed that wraps around the corner of her house. She will put edging around the flower bed 10 feet from the corner of the house in all directions as shown below.Which is the best estimate of the number of feet of edging that Sally will need?490609853561002443486332385095250015. 16. The diameter of an apple pie is 10 inches. If the intercepted arc (the crust) is 4 inches, what is the measure of the central angle made by cutting your slice of pie. Give your answer in radians. 6πB) 2/5C) 4/5D) 4π/52952752673350017. 308344212650018.31897759960019. 34290088900020. 27907059380021. 36068012700022. 427108107950023. Unit 8 Statistics26670012065001. 2762259525002.2476509525003. ................
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