Graphing a Piecewise Function f(x) = {-6 for x ≤ -1, 2x

Math Problem Statement

Graph the following function on the axes provided: f(x) = {-6 for x ≤ -1, 2x - 18 for x > 5}

It looks like you’ve uploaded an image containing a piecewise function to graph. The function provided is:

-6 & \text{for } x \leq -1 \\ 2x - 18 & \text{for } x > 5 \end{cases}$$ This describes a piecewise function with two distinct parts: 1. For $$x \leq -1$$, the value of the function is always -6, which is a horizontal line. 2. For $$x > 5$$, the function follows the linear equation $$2x - 18$$. To graph this function, we: - Draw a horizontal line at $$y = -6$$ for values of $$x \leq -1$$. - Plot the line $$y = 2x - 18$$ for values of $$x > 5$$, which is a straight line. Since the function doesn't specify any values between $$-1$$ and $$5$$, the graph will have gaps between these regions. Would you like me to help you generate a graph based on this function, or would you prefer more details on the graphing process?

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Piecewise Functions
Graphing
Linear Functions

f(x) = -6 for x ≤ -1
f(x) = 2x - 18 for x > 5

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