Gr 9 MATH: Ch 7.2 Drawing Graphs
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Questions and Answers

What is the main purpose of a flow diagram in representing relationships between variables?

  • To list input values and their corresponding output values
  • To provide a written explanation of the relationship between variables
  • To algebraically express the relationship between variables
  • To visualize the calculations that convert input values to output values (correct)

    • What is the formula to calculate the gradient of a line passing through two points (x_1, y_1) and (x_2, y_2)?

  • Gradient = (y_2 + y_1) / (x_2 + x_1)
  • Gradient = (x_2 - x_1) / (y_2 - y_1)
  • Gradient = (y_2 - y_1) / (x_2 - x_1) (correct)
  • Gradient = (x_2 + x_1) / (y_2 + y_1)

    • What is a characteristic of a function?

  • Each input corresponds to multiple outputs
  • Each output corresponds to exactly one input
  • Each input corresponds to exactly one output (correct)
  • Each output corresponds to multiple inputs

    • What is the purpose of a table in representing a function?

    <p>To show specific input-output pairs</p> Signup and view all the answers

    What does the slope of a graph indicate?

    <p>How rapidly the output changes with respect to the input</p> Signup and view all the answers

    What is an output number in the context of a function?

    <p>The result after applying the function to the input</p> Signup and view all the answers

    What is the term for the specific output corresponding to a given input?

    <p>Function value</p> Signup and view all the answers

    What is the purpose of a graph in representing a function?

    <p>To visualize the relationship between variables</p> Signup and view all the answers

    What is the primary way a graph represents the relationship between variables?

    <p>Through a visual plot on a coordinate system</p> Signup and view all the answers

    Which of the following is NOT a key concept in functions?

    <p>Gradient</p> Signup and view all the answers

    When interpreting a graph, what does the continuity of the graph indicate?

    <p>Whether the graph is a continuous curve or has breaks</p> Signup and view all the answers

    What is the main difference between a table and a flow diagram in representing relationships?

    <p>A table shows input-output pairs, while a flow diagram shows the calculations</p> Signup and view all the answers

    What is the purpose of finding the intercepts when interpreting a graph?

    <p>To identify the points where the graph crosses the axes</p> Signup and view all the answers

    What is the main purpose of a formula in representing a function?

    <p>To provide a mathematical rule for computing outputs</p> Signup and view all the answers

    What does the shape of a graph typically indicate?

    <p>The type of relationship between variables</p> Signup and view all the answers

    Which representation of a function would be most useful for finding a specific output value?

    <p>Formula</p> Signup and view all the answers

    What does the gradient of a graph represent?

    <p>The rate of change of the output value with respect to the input value.</p> Signup and view all the answers

    Which of the following representations of a function is most useful for visualizing the relationship between variables?

    <p>Graph</p> Signup and view all the answers

    What is the primary purpose of finding the intercepts when interpreting a graph?

    <p>To determine the points at which the graph intersects the axes.</p> Signup and view all the answers

    Which of the following is a characteristic of a continuous graph?

    <p>It has no breaks or gaps.</p> Signup and view all the answers

    What is the primary difference between a table and a graph in representing a function?

    <p>A table lists specific input-output pairs, while a graph visualizes the relationship between variables.</p> Signup and view all the answers

    What does the shape of a graph typically indicate?

    <p>The type of relationship between variables.</p> Signup and view all the answers

    Which of the following representations of a function is most useful for computing outputs from inputs?

    <p>Flow Diagram</p> Signup and view all the answers

    What is the primary purpose of a verbal description of a function?

    <p>To describe the relationship between variables in words.</p> Signup and view all the answers

    What is the primary advantage of using a graph to represent a function over a table?

    <p>It provides a visual representation of the relationship between variables.</p> Signup and view all the answers

    What is the significance of the intercepts when interpreting a graph?

    <p>They represent the points where the graph crosses the axes.</p> Signup and view all the answers

    What is the primary difference between a flow diagram and a table in representing relationships?

    <p>A flow diagram illustrates the steps to compute outputs from inputs, while a table lists input-output pairs.</p> Signup and view all the answers

    What is the primary advantage of using a formula to represent a function over a verbal description?

    <p>It provides a precise mathematical rule for computing outputs.</p> Signup and view all the answers

    What is the significance of the shape of a graph in representing a function?

    <p>It indicates the type of relationship between variables, such as linear or quadratic.</p> Signup and view all the answers

    What is the primary purpose of finding the gradient of a line?

    <p>To indicate how rapidly the output changes with respect to the input.</p> Signup and view all the answers

    What is the primary difference between a continuous graph and a discontinuous graph?

    <p>A continuous graph is a continuous curve, while a discontinuous graph has breaks or gaps.</p> Signup and view all the answers

    What is the primary purpose of using a verbal description to represent a function?

    <p>To provide a written explanation of the relationship between variables.</p> Signup and view all the answers

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