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Umnica [9.8K]
3 years ago
14

Consider the function g(x) = x^12. Describe the range of the function.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

Answer:

  0 ≤ g(x) < ∞

Step-by-step explanation:

The range is all non-negative numbers.

___

g(x) is an even-degree polynomial with a positive leading coefficient, so it opens upward. There is no added constant, so its minimum value is zero. The function can take on all values zero or greater.

  range: [0, ∞)

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Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. What is the
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Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase

<em><u>Solution:</u></em>

Given that Two years ago, Sally had 5,000 dogs in her dog shelter

Now she has 24,575 dogs

To find: rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity

<h3><u>Steps to follow:</u></h3>
  • First: work out the difference (increase) between the two numbers you are comparing.
  • Increase = New Number - Original Number.
  • Then: divide the increase by the original number and multiply the answer by 100.
  • % change = Increase ÷ Original Number x 100

\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} \times 100

\begin{array}{l}{\text { rate of change }=\frac{24,575-5000}{5000} \times 100} \\\\ {\text { rate of change }=\frac{19575}{5000} \times 100=391.5}\end{array}

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