3 An object is thrown from the roof of one building to the roof of another, higher building, and its height versus time is plotted below.
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1 1 The surface area of a sphere is given b the quadratic function S π r,where r is the radius of the sphere. What is the domain of this function? A All positive real numbers B All integers C All positive integers D All negative real numbers 3 An object is thrown from the roof of one building to the roof of another, higher building, and its height versus time is plotted below. Height (meters) The graph of x 5 is shown below. O x Time (seconds) If height is a function of time, which best describes the domain of this function? A All numbers greater than 0 B All positive numbers less than or equal to 5 C All numbers from 0 to 5, inclusive D All numbers Copright Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. What statement is true about this function? F The domain is x 5 and the range is 5. G The range is 5. H The domain is x. J The domain is x 5. A quadratic function is graphed below. O x Which best describes this function? F The domain is.5. G The domain is.5 x 7.5. H The range is x 5. J The range is 5. TAKS Review and Preparation Workbook LESSON 9 The Domain and Range of Quadratic Functions 7
2 1 1 The graph of x 3 is shown below. How will the graph change if the coefficient of x becomes? A The graph will be translated up units. B The graph will be reflected over the x-axis. C The graph will be wider. D The graph will be narrower. The graph of x is shown below. O x 3 How will the graph of x change if the coefficient of x becomes? A The graph will be wider. B The graph will be narrower. C The graph will be reflected over the -axis. D The graph will be reflected over the x-axis. How is the graph of the equation 3x related to the graph of 3x? F The graph of 3x is translated units up from the graph of 3x. G The graph of 3x is translated units down from the graph of 3x. H The graph of 3x is wider than the graph of 3x. J The graph of 3x is a reflection of 3x across the x-axis. O x How will the graph change if the coefficient of x 1 becomes? F The graph will be wider. G The graph will be narrower. H The graph will be translated down. J The graph will be translated up. 5 How will the graph of 5x 1 change if the coefficient of x becomes 3? A The graph will be narrower. B The graph will be translated down b 0.5 units. C The graph will be wider. D The graph will be translated up b 0.5 units. Copright Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 90 LESSON 30 The Effects of Changes in a for ax c TAKS Review and Preparation Workbook
3 1 The graph of which function appears to be shifted 3 units down from the graph of x 3? A x 3 B x C x 3 D x In the graph of the function x ( 3), which describes the shift in the vertex of the parabola if the 3 in the function is changed to? F units up G 11 units up H units down J 11 units down How would the graph of x 5 be affected if the 5 were changed to a 5? F The graph would shift 10 units left. G The graph would shift 10 units right. H The graph would shift 10 units up. J The graph would shift 10 units down. 5 Which graph shows a function f(x) x c in which c? A O x 3 What will the equation of the graph below be if it is shifted 5 units up? Copright Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. A f(x) x 5 B f(x) x 1 C f(x) x 1 D f(x) x 5 O x B C D O x O x O x TAKS Review and Preparation Workbook LESSON 31 Vertical Translations of Parabolas 93
4 1 The polnomial x x is modeled below using algebra tiles. 3 What are the solutions to the equation x 5x 1 = 0? A 5 and 1 B 5 and 1 C 3 and What are the solutions to the equation x x 0? A and B and C and 0 D and The equation x is graphed below. What are the solutions to the equation x 0? F and G 0 and H and 0 J and O x D 3 and Janelle is standing on a cliff and accidentall kicks a pebble over the edge. The distance it falls can be found on the table below. Time (seconds) Distance Fallen (m) During which 0.5-second time interval does the pebble fall 35 meters? F Between 1.0 and 1.5 seconds G Between 1.5 and.0 seconds H Between.0 and.5 seconds J Between.5 and 3.0 seconds Copright Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 9 LESSON 3 Solving Quadratic Equations TAKS Review and Preparation Workbook
5 1 What are the x-intercepts of the graph of the equation x x? What are the zeros of the function graphed below? A and 1 B and 1 O x C and 1 D and 1 What are the roots of the quadratic equation x x + 3 = 0? F 1 and 3 G 1 and 3 H 1 and 3 J 1 and 3 F and 5 G 5 and 0 H and J 3 and 7 Copright Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 3 What are the solutions of the quadratic equation 3x + 9x 1 = 0? A 1 and B 1 and C 1 and D 1 and 5 What are the zeros of the function graphed below? A 1 and 1 B 1 and 0 C 0 and 0 D 1 and 0 O x TAKS Review and Preparation Workbook LESSON 33 Roots, Zeros, and x-intercepts of Quadratic Functions 99
6 1 Which expression is equivalent to? A x B x C x D x (x 3 )(x ) (x ) A circle has a radius given b the expression x.which expression gives the area of the circle? F px G px H px J p x Which expression is equivalent to? F x 7 G x 7 H x J x 3 If a b c 3, then what is a 3? A (bc) 15 B b 5 c C b c 9 D b c (x 3 ) (x 3 ) (x ) 5 The volume of a cube is given b the expression x 3.Which expression gives the length of a side of the cube? A x B x C x 3 D x 3 3 The area of a triangle is x 3 units, and the triangle has a height of x units. Which expression gives the length of the base of the triangle? (x 0 and 0) F x G 1x 5 H x J x 3 Copright Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 10 LESSON 3 Using and Appling the Laws of Exponents TAKS Review and Preparation Workbook
Section 4.1 Polynomial Functions and Models. Copyright 2013 Pearson Education, Inc. All rights reserved
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