Question

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

Answer 1

Is this a problem from algebra or calculus?

Answer 2

algebra! Describe the end behavior.

Answer 3

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).

Answer 4

Another way to say that, is:

As x approaches infinity, y approaches negative infinity

As x approaches negative infinity, y approaches infinity

Answer 5

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.