If the exponent is a negative number will I get a large or small number?

Mathematics

1 answer:

choli [55]3 years ago

7 0

Most likely a smaller number

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What is the midline equation of y = -4sin (2x - 7) + 3?

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Answer:

$y = 3$ .

Step-by-step explanation:

The minimum and maximum value of $\sin(2\, x - 7)$ over all real $x$ are $(-1)$ and $1$ , respectively. Hence, the maximum and minimum value of $y = -4\, \sin(2\, x - 7) + 3$ would be:

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The midline equation of a sine wave is a horizontal line that is right in the middle of maximum and minimum $y$ -values of that sine wave. In the sine wave in this question, the average of the maximum and minimum $y\!$ -values is $(1/2) \, (7 + (-1)) = 3$ . Hence, the midline equation of this sine wave would be $y = 3$ .