Functions and Linear Functions Quiz
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Questions and Answers

From which representation can you determine if something is a function?

  • Mapping diagram
  • Equation
  • Table of values
  • Graph (correct)
  • From which representation can you determine if something is a linear function?

  • Mapping diagram
  • Table of values
  • Equation (correct)
  • Graph
  • What is the correct method to determine if a graph represents a function?

  • Slope-intercept test
  • Horizontal line test
  • Point-slope test
  • Vertical line test (correct)
  • How can you determine the domain and range of a function from a graph?

    <p>Identify the x and y values where the graph exists</p> Signup and view all the answers

    What is the correct method to determine if a graph has a discrete or a continuous domain?

    <p>Identify if the graph has any gaps or jumps</p> Signup and view all the answers

    From which representation can you determine if something is a linear function?

    <p>An equation</p> Signup and view all the answers

    How can you determine the domain and range of a function from a graph?

    <p>By using the vertical line test</p> Signup and view all the answers

    What is the correct method to determine if a graph represents a function?

    <p>Using the vertical line test</p> Signup and view all the answers

    From a table of values, how can you determine if something is a function?

    <p>By checking if each input has a unique output</p> Signup and view all the answers

    How can you determine if a function has a discrete or a continuous domain from a graph?

    <p>By observing the spread of points on the graph</p> Signup and view all the answers

    Study Notes

    Determining Functions and Their Properties

    • A function can be determined from an equation, table of values, or graph.

    Determining Linear Functions

    • A linear function can be determined from an equation (e.g., y = mx + b, where m is the slope and b is the y-intercept) or a graph (if the graph is a straight line).

    Determining Function from a Graph

    • To determine if a graph represents a function, use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

    Determining Domain and Range from a Graph

    • The domain can be determined by identifying the x-values on the graph.
    • The range can be determined by identifying the y-values on the graph.

    Determining Domain Type from a Graph

    • A discrete domain has individual points on the graph, while a continuous domain has a continuous curve or line.

    Determining Functions from a Table of Values

    • To determine if a table of values represents a function, ensure each x-value corresponds to only one y-value.

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    Description

    Test your understanding of functions and linear functions with this quiz. Determine if something is a function from a graph, table of values, or mapping diagram. Identify linear functions from graphs, tables, and equations. Gain insight into the differences between functions and linear functions.

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