Question

Which graph represents f(x)=−2x^4?

Answer 1

Bottom left

Explanation:

When you have an `x^4` as the highest power, the graph is quartic.

We can eliminate the two top graphs, since these are cubic (highest power `x^3`). This leaves the bottom two.

Since the graph has a negative, the graph's is an "n" shape as opposed to "u" shape. Some quartic graphs resemble quadratics, as does this one. You may have been told with quadratics about "n" and "u" shaped graphs. The same thing applies here - since we have a negative coefficient, the graph is n-shaped (its negative, so the curve resembles an unhappy face). So the answer is the bottom left.

The graph of `y=-2x^4` is shown below
graph{-2x^4 [-10.53, 11.97, -10.38, 0.87]}