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Select the correct answer from each drop-down menu.
What is the end behavior of function h?
h(x) = -4x2 + 11
As x approaches negative infinity, h(x) approaches
As x approaches positive infinity, h(x) approaches

Select the correct answer from each dropdown menu What is the end behavior of function h hx 4x2 11 As x approaches negative infinity hx approaches As x approach class=

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Answer:

The first is negative and the second is also negative. Just took the test and passed.

Step-by-step explanation: Step by Step

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Because the variable has an even power, we will see that:

  • As x approaches -∞, h(x) approaches -∞
  • As x approaches ∞, h(x) approaches -∞.

What is the end behavior of h(x)?

Here we have h(x) = -4x^2 + 11

Notice that the variable is squared, this means that the sign does not matter, the outcome of:

-4x^2 will always be negative. So in both ends (when x tends to infinity and negative infinity), we will have the same end behavior.

When we take that limit, -4x^2 will just tend to negative infinity, then in both cases, the function tends to negative infinity.

So we have:

  • As x approaches negative infinity, h(x) approaches negative infinity.
  • As x approaches positive infinity, h(x) approaches negative infinity.

If you want to learn more about limits, you can read:

https://brainly.com/question/5313449

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