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1 ) Which function below would be a vertical translation of the function f(x) = x 5 ?

Polynomial Graphs Unit Practice Test. 1 ) Which function below would be a vertical translation of the function f(x) = x 5 ? (A) g(x) = (x – 2) 5 (B) g(x) = x 3 (C) g(x) = 2x 5 (D) g(x) = x 5 + 2 2) Which function would be a horizontal translation

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1 ) Which function below would be a vertical translation of the function f(x) = x 5 ?

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  1. Polynomial Graphs Unit Practice Test 1) Which function below would be a vertical translation of the function f(x) = x5? (A) g(x) = (x – 2)5 (B) g(x) = x3 (C) g(x) = 2x5 (D) g(x) = x5 + 2 2) Which function would be a horizontal translation of the function f(x) = (x – 3)7? (A) h(x) = (x – 6)7 (B) h(x) = (x – 3)5 (C) h(x) = -2(x – 3)7 (D) h(x) = (x – 3)7 – 11

  2. 3) The graph of f(x) = 2x4 is shown below. Which graph below shows the function j(x) = 2x4 – 3? (A) (B) (C) (D)

  3. 4) The graph of f(x) = -x5 is shown below. Which graph below shows the function k(x) = -(x – 2)5? (A) (B) (C) (D)

  4. 5) What are the correct equations for the functions • shown on the graph below? • (A) 3 f(x) = x4 – 3 and • g(x) = (x – 4)3 • (B) f(x) = x3 – 3 and • g(x) = (x – 3)3 • (C) f(x) = (x – 3)3 and • g(x) = x3 – 3 • (D) f(x) = (x – 3)4 and • g(x) = x4 – 3 • jho

  5. 6) Based on the degree and the lead coefficient, which statement correctly describes the end behaviors of the graph of h(x) = 11x7 – 4x2? (A) As x  -, f(x)  -, and as x , f(x)  -. (B) As x  -, f(x)  -, and as x , f(x) . (C) As x  -, f(x) , and as x , f(x)  -. (D) As x  -, f(x) , and as x , f(x) .

  6. 8) For the function below, use the relationship between • linear factors and x-intercepts and the multiplicity of • the factors to determine which statement correctly • describes the graph. • f(x) = (x – 1)3(x + 2)6 • (A) The graph turns at the x-intercept (1, 0) and • passes to the other side of the axis at the • x-intercept (-2, 0). • (B) The graph turns at the x-intercept (-2, 0) and • passes to the other side of the axis at the • x-intercept (1, 0). • (C) The graph turns at the x-intercept (-1, 0) and • passes to the other side of the axis at the • x-intercept (2, 0). • (D) The graph turns at the x-intercept (2, 0) and • passes to the other side of the axis at the • x-intercept (-1, 0).

  7. 9) Which equation matches the function shown on the graph below? (A) h(x) = x3 – 3x2 + 23x – 12 Factored form: h(x) = (x + 3)(x – 1)(x – 4) (B) h(x) = -x4 + 3x3 – 9x2 + 23x – 12 Factored form: h(x) = (-x – 3)(x – 1)2(x – 4) (C) h(x) = x4 + 3x3 – 9x2 – 23x + 12 Factored form: h(x) = (x – 3)(x + 1)2(x – 4) (D) h(x) = x4 – 3x3 – 9x2 + 23x – 12 Factored form: h(x) = (x + 3)(x – 1)2(x – 4)

  8. 10) Which statement correctly describes the function • shown below? • (A) The function is symmetric with respect to the • origin and is an odd function. • (B) The function has no symmetry and is neither • odd nor even. • (C) The function is symmetric with respect to the • y-axis and is an even function. • (D) The function is symmetric with respect to the • line y = x and is an odd function.

  9. 11) Which of the following statements is true? (A) n(x) = x2 + 1 is an even function. (B) p(x) = x3 – 2x + 3 is an odd function. (C) q(x) = x5 – 4x4 is an odd function. (D) r(x) = x4 + 5 is neither an even nor an odd function. 12) What is the range of the function t(x) = x4 – 5? (A) (-∞, -5] (B) [-5, ∞) (C) (-∞,∞) (D) [0, ∞)

  10. 13) If the range of a polynomial function is [-2, ∞), which of the following statements could be true? (A) The degree of the function is odd. (B) The function has an absolute maximum. (C) The function has an absolute minimum. (D) The function has both an absolute maximum and an absolute minimum. 14) What are the zeros of the function shown below? (A) 0 (B) -3, 0, 2 (C) (-2, 4) and (1, -2) (D) -2, 0, 3 15) Which of the following is a possible number of turning points for an 8th-degree polynomial function? (A) 2 (B) 4 (C) 5 (D) 9

  11. Use the graph below for problems 16 and 17. 16) Which of the following statements is true? (A) (0, 4) is a relative maximum but not an absolute maximum. (B) (1, 0) is a relative minimum but not an absolute minimum. (C) (-2, 0) is a relative minimum but not an absolute minimum. (D) (-2, 0) is a relative maximum but not an absolute maximum. 17) Which of the following correctly describes the function shown above? (A) Increasing: (-∞,∞) (B) Decreasing: (-∞,∞) (C) Increasing: (-∞, -2) and (0, 1) Decreasing: (-2, 0) and (1, ∞) (D) Increasing: (-2, 0) and (1, ∞) Decreasing: (-∞, -2) and (0, 1)

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