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natita [175]
3 years ago
6

What are the period and amplitude of the function?

Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

The period of function is 5 and amplitude is 3.

Step-by-step explanation:

<em>The period of the function is the time interval after which it repeats itself.</em>

It means the time interval after which the same value of graph is attained.

In the above case looking at the peak point at time 5 seconds, the same value is obtained at time 10 seconds.

Thus the time interval is (10 - 5) 5 seconds.

<em>Amplitude is the maximum value attained by the graph in the complete interval.</em>

In the above case, the maximum value attained is 3.

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Answer:

(h, k) is the point that represents the vertex of this absolute value function

Step-by-step explanation:

Recall that the vertex of an absolute value function occurs when the expression within the absolute value symbol becomes "zero", because it is at this point that the results in sign differ for x-values to the left and x-values to the right of this boundary point.

Therefore, in your case, the vertex occurs at  x = h, and when x = h, then you can find the y-value of the vertex by looking at what f(h) renders:

f(h) = a | h - h | + k = 0 + k = k

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<em>Finito </em>:D

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