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Mathematics

OpenStudy (anonymous):

Graph the function f(x) = –x4 – 4 by hand and describe the end behavior.

7 years ago
OpenStudy (mathteacher1729):

Is this a problem from algebra or calculus?

7 years ago
OpenStudy (anonymous):

algebra! Describe the end behavior.

7 years ago
OpenStudy (anonymous):

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7 years ago
OpenStudy (anonymous):

You can graph that by understanding that f(x) crosses the x-axis at x = -1 and the y-axis at y = -4. Notice how the left end of the graph approaches infinity (it keeps getting higher forever) and the right end of the graph approaches negative infinity (it keeps getting lower forever).

7 years ago
OpenStudy (anonymous):

Another way to say that, is: As x approaches infinity, y approaches negative infinity As x approaches negative infinity, y approaches infinity

7 years ago
OpenStudy (mathteacher1729):

Do you mean \[f(x) = x^4-4\] or \[g(x) = 4x -4\]? f(x) is a quartic (order four) polynomial, while g(x) is a linear function.

7 years ago
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