Which monomial function, y = ax^n, is described by the following statements?
2 answers:
Answer:
Option D is correct.
Step-by-step explanation:
We can see from the attachment which is graph with all four possibilities
Odd function and positive "a" which is red graph
Even function positive "a" which is blue graph
Odd function negative "a" which is green graph
Even function negative "a" which is purple graph
Let us assume values of "a" and "n" according to the possibilities.
The required behaviour which is As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases is shown by purple graph that is odd monomial function with negative "a".
Therefore, Option D is correct.
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Step-by-step explanation:
The complete frequency distribution table for the data has been attached to this response.
The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear <em>9</em> times in the data. Also, the numbers in the range 3 - 5 appear <em>6</em> times. The same logic applies to other ranges.
The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.
So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e
9 / 38 = 0.24
Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e
6 / 38 = 0.16
Do the same for the other ranges.
