Podcast
Questions and Answers
What is the y-intercept of the graph of the function $y = 3x^4 - 5x + 1$?
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 $y = 3x^4 - 5x + 1$?
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 $y = 3x^4 - 5x + 1$?
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 $y = 2x^3 - 4x + 2$?
What is one zero of the graph of the function $y = 2x^3 - 4x + 2$?
Which of the following statements is TRUE about the function $y = 2x^3 - 4x + 2$?
Which of the following statements is TRUE about the function $y = 2x^3 - 4x + 2$?
What is the y-intercept of the function $y = x^4 - 2x^2 + 1$?
What is the y-intercept of the function $y = x^4 - 2x^2 + 1$?
What is one zero of the function $y = x^4 - 2x^2 + 1$?
What is one zero of the function $y = x^4 - 2x^2 + 1$?
Which of the following statements is TRUE about the function $y = x^4 - 2x^2 + 1$?
Which of the following statements is TRUE about the function $y = x^4 - 2x^2 + 1$?
Which of the following is NOT a step in finding the y-intercept of a function?
Which of the following is NOT a step in finding the y-intercept of a function?
Flashcards
Y-intercept
Y-intercept
The point where a graph intersects the y-axis. It represents the value of the function when x = 0.
Zeros (Solutions)
Zeros (Solutions)
The solutions to an equation. They are the x-values where the graph crosses the x-axis.
Graphing Calculator/Desmos
Graphing Calculator/Desmos
A tool that helps you visualize the graph of an equation by plotting points.
X-intercept
X-intercept
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Interval of Increase
Interval of Increase
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Interval of Decrease
Interval of Decrease
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Removable Discontinuities
Removable Discontinuities
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End Behavior
End Behavior
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Solving
Solving
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Graphing
Graphing
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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.
