Graphing Practice for Test
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Questions and Answers

What is the y-intercept of the graph of the function $y = 3x^4 - 5x + 1$?

  • (0, 1) (correct)
  • (1, 0)
  • (0, 3)
  • (0, -1)
  • What is the zero of the function $y = 3x^4 - 5x + 1$?

  • (1, 0) (correct)
  • (-1, 0)
  • (0, -1)
  • (0, 1)
  • Which of the following statements is TRUE about the graph of the function $y = 3x^4 - 5x + 1$?

  • The graph of the function intersects the y-axis at (1, 0).
  • The graph of the function has a zero at $x = 1$. (correct)
  • The graph of the function intersects the x-axis at (0, 1).
  • The graph of the function has a y-intercept at $x = -1$.
  • What is one zero of the graph of the function $y = 2x^3 - 4x + 2$?

    <p>(1, 0)</p> Signup and view all the answers

    Which of the following statements is TRUE about the function $y = 2x^3 - 4x + 2$?

    <p>The function has a y-intercept at $(0, 2)$</p> Signup and view all the answers

    What is the y-intercept of the function $y = x^4 - 2x^2 + 1$?

    <p>(0, 1)</p> Signup and view all the answers

    What is one zero of the function $y = x^4 - 2x^2 + 1$?

    <p>(1, 0)</p> Signup and view all the answers

    Which of the following statements is TRUE about the function $y = x^4 - 2x^2 + 1$?

    <p>The function has a zero at $x = -1$</p> Signup and view all the answers

    Which of the following is NOT a step in finding the y-intercept of a function?

    <p>Identifying the point where the graph crosses the x-axis</p> Signup and view all the answers

    Study Notes

    Graphing Practice for Test

    • Y-intercept: Locate where the graph crosses the y-axis. The y-intercept is the point (0, y-value).
    • Zero/Solution: Locate where the graph crosses the x-axis. The x-intercept(s) are the solutions/zeros (x-value, 0).
    • Desmos/Graphing Calculator: Use these tools to find intercepts.
      • Desmos or graphing calculator tables: Access the table to find points on the graph.
      • Graphing calculator trace function: Use the trace function to find the x/y values on the graph
    • Test Focus: The test covers finding y-intercepts and zeros only.
    • Excluded Material: Intervals of increase/decrease and end behavior, along with other obsolete topics (removable discontinuities) are NOT on the test.
    • Test Structure: The graphing portion of the test is half of the entire assessment. The first part of the test is multiple choice questions, the second half concerns graphing.
    • Practice: Complete the six problems you have already done, locating both the y-intercept and zero/solution for each. Use Desmos or graphing calculator to practice finding these values.

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    Description

    This quiz focuses on graphing techniques, specifically finding y-intercepts and x-intercepts (zeros) using tools like Desmos and graphing calculators. It prepares students for the graphing portion of the upcoming test, which makes up half of the assessment. Excluded topics will not be part of this practice.

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