Question

What is the index of 7x^4 x x^3 x x^2?​

Answer 1

Answer:

Graph f ( x) = x 4 – 10 x 2 + 9.

equation

The zeros of this function are –1, 1, –3, and 3. That is, –1, 1, –3, and 3 are the x‐intercepts of this function.

When x < –3, say, x = –4, then equation

So for x < –3, f ( x) > 0.

When –1 < x < 1, say, x = 0, then equation

So for –1 < x < 1, f ( x) > 0.

In a similar way, it can be seen that

when x > 3, f ( x) > 0

when –3 < x < –1, f ( x) < 0

when 1 < x < 3, f ( x) < 0

The graph then has points in the shaded regions as shown in Figure 2.

The y‐intercept of this function is found by finding f (0).

f (0) = 9

Step-by-step explanation:

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