Question

Which of the following describes the function −x4 + 1?

Answer 1

Answer:

The correct option is:

The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.

Step-by-step explanation:

We are given a degree four function in variable 'x' as:

$f(x)=-x^4+1$

Now, the ends of the graph will be in the same direction since the leading coefficient is negative and the function is even

( since:

f(-x)=f(x) )

so the end behavior could be checked as:

when x→ -∞  then f(x)→ -∞

and when x → ∞  then f(x) → -∞

Also we could see by the graph of the unction.

The correct option is:

The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.

Answer 2

Answer:

The answer is B.

Hope this Helps!