Introduction to Functions - Grade 8 Learning path

Introduction to Functions - Grade 8

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Introduction to Functions - Grade 8

Learn the fundamentals of functions for Grade 8. Practice identifying, evaluating, and comparing linear and non-linear functions using input-output tables and graphs, including rates of change, initial values, domain, and range.

Exercises in this learning path

15 exercises
  1. 1

    Form 1: Identifying Functions from Input-Output Tables

    Learn how to determine whether a relation represents a function by analyzing input-output tables. Practice checking if each input is paired with exactly one output.

    15 minutes

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  2. 2

    Form 2: Evaluating Functions from Input-Output Tables

    Practice finding output values for given inputs using input-output tables. Strengthen your ability to read and evaluate functions presented in tabular form.

    15 minutes

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  3. 3

    Form 3: Vertical Line Test & Identifying Functions from Graphs

    Use the vertical line test to determine if a graph represents a function. Practice analyzing different graphed relations to identify valid functions.

    15 minutes

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  4. 4

    Form 4: Evaluating Functions from Graphs

    Practice finding function values by reading coordinates directly from graphs. Learn to locate given input values on the horizontal axis and determine their corresponding outputs.

    15 minutes

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  5. 5

    Form 5: Rates of Change from Tables

    Determine the rate of change of functions using data presented in tables. Practice calculating the ratio of change in output to change in input.

    15 minutes

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  6. 6

    Form 6: Rates of Change from Graphs

    Calculate and interpret the rate of change of a function from its graph. Practice finding the slope using key points on the line.

    15 minutes

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  7. 7

    Form 7: Comparing Y-Intercepts (Initial Values) from Tables

    Practice identifying and comparing the y-intercepts or initial values of functions given in input-output tables. Learn to determine starting values when inputs equal zero.

    15 minutes

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  8. 8

    Form 8: Comparing Initial Values from Graphs

    Compare the initial values or y-intercepts of different functions using their graphs. Learn to locate where each line crosses the vertical axis.

    15 minutes

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  9. 9

    Form 9: Comparing Tables vs. Graphs (Rate of Change)

    Practice comparing the rates of change between functions represented in tables and functions shown as graphs. Determine which representation has a greater or lesser rate of change.

    15 minutes

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  10. 10

    Form 10: Comparing Tables vs. Graphs (Initial Values)

    Compare the initial values of functions presented in tables with those shown on graphs. Determine which function has a greater or smaller y-intercept across different representations.

    15 minutes

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  11. 11

    Form 11: Linear vs. Non-linear Functions from Tables

    Analyze input-output tables to distinguish between linear and non-linear functions. Check for constant rates of change to classify each relationship correctly.

    15 minutes

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  12. 12

    Form 12: Linear vs. Non-linear Functions from Graphs

    Identify linear and non-linear functions by inspecting their graphs. Practice recognizing straight lines versus curved lines to determine function types.

    15 minutes

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  13. 13

    Form 13: Domain and Range from Tables and Graphs

    Practice identifying the domain and range of functions using tables and graphs. Determine the complete set of possible input and output values for each function.

    15 minutes

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  14. 14

    Form 14: Real-World Function Scenarios from Tables and Graphs

    Apply your knowledge of functions to real-world scenarios presented through tables and graphs. Interpret rates of change and initial values in practical contexts.

    15 minutes

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  15. 15

    Form 15: Comprehensive Review - Functions from Tables and Graphs

    Review key concepts involving functions represented in tables and graphs. Test your overall understanding of identifying, evaluating, comparing, and analyzing various functions.

    15 minutes

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