Identify the key features of the function.
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A pendulum swings to 90% of its height on each swing and starts at a height of 80 cm. The height of the pendulum in centimeters, [i]y[/i], is recorded after [i]x[/i] number of swings. Determine the key features of this function using the table below. |
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[list=1] [*]Identify the type of function described. [*]Identify the intercepts of the function based on the information in the table. [*]Determine whether the function is increasing or decreasing. [*]Determine where the function is positive and negative. [*]Determine the relative minimum and maximum of the graphed function. [*]Identify the domain of the graphed function. [*]Identify any asymptotes of the graphed function. [/list] |
Compare two linear functions
The functions [math]f(x)[/math] and [math]g(x)[/math] are described below. Compare the properties of each.
[list=1][br][*]Identify the rate of change for the first function, [math]f(x)[/math].[br][*]Identify the rate of change for the second function, [math]g(x)[/math].[br][*]Identify the [i]y[/i]-intercept of the first function, [math]f(x)[/math].[br][*]Identify the [i]y[/i]-intercept of the second function, [math]g(x)[/math].[br][*]Compare the properties of each function.[br][/list]