Questions: Sketch the function. g(x)=-x^4+5 x^2-4 Part: 0 / 4 Part 1 of 4 The end behavior of the function is (Choose one) to the left and (Choose one) to the right.

Solution Steps

The function given is \( g(x) = -x^4 + 5x^2 - 4 \). This is a polynomial function of degree 4 with a leading coefficient of -1.

For polynomial functions, the end behavior is determined by the leading term. Since the leading term is \(-x^4\), which is a negative even power, the end behavior is:

• As \( x \to -\infty \), \( g(x) \to -\infty \).
• As \( x \to \infty \), \( g(x) \to -\infty \).

Final Answer