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    3-5 - Lesson Quiz PDF

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    mahatharwat
    This document contains a 5-question quiz about zeros of polynomial functions. The questions ask students to find real and complex zeros, use zeros to sketch graphs, and determine where functions are positive or negative based on their zeros. The final question asks students to solve an inequality using information about where a polynomial is positive.

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    3-5 - Lesson Quiz PDF

    Uploaded by

    mahatharwat
    20 views1 page
    This document contains a 5-question quiz about zeros of polynomial functions. The questions ask students to find real and complex zeros, use zeros to sketch graphs, and determine where functions are positive or negative based on their zeros. The final question asks students to solve an inequality using information about where a polynomial is positive.

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    3-5_ Lesson Quiz (PDF)

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    This document contains a 5-question quiz about zeros of polynomial functions. The questions ask students to find real and complex zeros, use zeros to sketch graphs, and determine where functions are positive or negative based on their zeros. The final question asks students to solve an inequality using information about where a polynomial is positive.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    20 views1 page

    3-5 - Lesson Quiz PDF

    Uploaded by

    mahatharwat
    This document contains a 5-question quiz about zeros of polynomial functions. The questions ask students to find real and complex zeros, use zeros to sketch graphs, and determine where functions are positive or negative based on their zeros. The final question asks students to solve an inequality using information about where a polynomial is positive.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
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    savvasrealize.com

    3-5 Lesson Quiz


    Zeros of Polynomial Functions

    1. What are all the zeros of f(x) = ​​x​​  3​​ + 2​​x​​  2​​ − 3x? y
    6
    Use this information to sketch the graph of f.
    4
    Zeros:
    2
    2. Find the zeros of f(x) = − −​x​​  3​​
    + 7x − 4. 2​​x​​  2​​ x
    Then describe the behavior of the graph −4 −2 O 2
    of f at each zero. −2
    𝖠 4, −1; As x → −∞, f → −∞.
    When −1 < x < 4, f < 0. At x = 4,
    f is tangent to the x-axis,
    so when x > 1, f → ∞.
    𝖡 −4, 1; As x → −∞, f → −∞. When −4 < x < 1, f > 0. At x = 1,
    f is tangent to the x-axis, so when x > 1, f → −∞.
    𝖢 4, −1; As x → −∞, f → ∞. When −1 < x < 4, f > 0. At x = 4,
    f is tangent to the x-axis, so when x > 1, f → ∞.
    𝖣 −4, 1; As x → −∞, f → ∞. When −4 < x < 1, f < 0. At x = 1,
    f is tangent to the x-axis, so when x > 1, f → −∞.

    3. What are the real and complex zeros y


    6
    of the function y = ​​x​​  3​​ + 3​​x​​  2​​ + x + 3, which
    is graphed at the right? 4

    𝖠 −3, −1, and 1 2


    𝖡 −3, i, and −i x
    −4 −2 O 2 4
    𝖢 3, i, and −i −2
    𝖣 −3, −2, and 3
    4. What x-values are solutions of ​​x​​  3​​ + 5​​x​​  2​​ − x − 7 = ​​x​​  2​​ + 6x + 3?
    Use a graphing calculator to find points of intersection between
    the two functions.
    The graphs intersect at x = ,x= , and x = .
    5. What values of x are solutions of the inequality ​​x​​  3​​ − 4x > 0?
    The inequality is true for and .

    enVision™ Algebra 2 • Assessment Resources

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