Question

analyze the functions n(x) and s(x) to determine which has fewer zeros. use the two representations, found below, to compare the two relationships. n(x) a quartic function that opens up and has 1 maxima and 1 minima. the function crosses the y - axis at (0, 6) and does not cross the x - axis. s(x) answer each question based on the given representations. how many zeros does this function have? function s(x) has how many zeros?

Explanation:

Step1: Analyze zeros of n(x)

The function $n(x)$ is a quartic (degree 4) that opens upward, does not cross the x-axis, so it has 0 real zeros.

Step2: Analyze zeros of s(x)

The graph of $s(x)$ crosses the x-axis at $(0,0)$, and extends to cross the x-axis once more on the negative x-side, so it has 2 real zeros.

Step3: Compare zero counts

Compare 0 and 2 to find which function has fewer zeros.

Answer:

1. The function $n(x)$ has 0 zeros.
2. The function $s(x)$ has 2 zeros.
3. The function $n(x)$ has fewer zeros.