Question

According to the graph on your graphing tool, what is true about f(x)= x^4-4x^2+x/-2x^4+18x^2

Answer 1

Answer:

I can't see the options, so i will find all the asymptotes.

We have the function:

$f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}$

First, we can graph this using a graphing tool, the graph can be seen below.

In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.

This can be written as:

$\lim_{x \to 0_-} f(x) = - \infty$

and:

$\lim_{x \to 0_+} f(x) = + \infty$

A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.

Then:

$\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty$

For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.

Then:

$\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty$

We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5

Then:

$\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5$

So you need to check the options that match with some of the given tendencies.

Answer 2

Answer:

b,c,d

Step-by-step explanation:

edg 21 ^u^