Question

Select the description of f(x) = -3 - x6.

An odd function with end behavior of the graph that increases to the right and to the left.
An odd function with end behavior of the graph that decreases to the right and to the left.
An even function with end behavior of the graph that increases to the right and to the left.
An even function with end behavior of the graph that decreases to the right and to the left.

Answer 1

An even function with end behavior of the graph that decreases to the right and to the left.

We know this by looking at the x itself.

Notice that the power is an even one, thus making it an even function.
The coefficient of x is negative.

Thus the whole curve will be an inverted u, imagine a sad-smiling face.
Since it is an inverted u, it makes sense that for the end behavior they are decreasing in value.

Answer 2

thanks

Answer 3

NP.