Please show me what the lines would look like on this piece wise function

Question

05-12-2021
Mathematics

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Please show me what the lines would look like on this piece wise function

Sagot :

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jimthompson5910 jimthompson5910 · Answer 1 · 2021-12-05T21:58:06-05:00

Answer: The graph is shown below

Explanation:

The f(x) function is piecewise, and it has a double identity depending on what x is.

If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.

The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.

So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.

Sagot :

Answer: The graph is shown below

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