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Section 8: Summary of Functions Section 8 Topic 1 Comparing Linear, Quadratic, and Exponential Functions Part 1 Complete the table below to describe the characteristics of linear functions. Linear.

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  2. Begin by filling in the equations and characteristics of linear functions. You will need to include the format of linear equations, their shapes, and constants related to their rates of change.
  3. Next, address the exponential functions section by inputting the appropriate equations, shapes, and other characteristics required for completed tables.
  4. After all aforementioned sections are completed, carefully review the information you've entered for accuracy.

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Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

In addition to interpreting functions in context, it can be worthwhile to analyze the graphs of functions in terms of key features, which include the following. x- and y-intercepts. increasing/decreasing intervals. relative minimum/maximum values. symmetries. end behavior.

0:00 22:14 Identify Key Features of Graphs - YouTube YouTube Start of suggested clip End of suggested clip So there can be more than one x-intercept. So it's at every single point where your graph goesMoreSo there can be more than one x-intercept. So it's at every single point where your graph goes through the x-axis. Same with the y-intercept.

A function is tied to a specific rule, formula, or computation and requires the completion of specific computations and/or steps. A function is a generalized input-output process that defines a mapping of a set of input values to a set of output values. A student must perform or imagine each action.

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.

Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

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