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3 years ago

Which of the following functions illustrates a change in amplitude?

Mathematics

2 answers:

OLEGan [10]3 years ago

7 0

Answer:

Correct option is A.

Step-by-step explanation:

Given the following functions we have to choose the option which illustrates a change in amplitude.

Multiplying a sine or cosine function by a constant changes the graph of the parent function i.e results in change in the amplitude of function. Amplitude is the measure of distance from the sinusoidal axis to the maximum or the minimum.

Option A: y = 3cos4x

The parent function is f(x) = cos x.

The amplitude of function changes from 1 to 3.

Option B: y = 1+sinx

The parent function is f(x) = sin x

The amplitude remains same i.e 1

Option C: y = -2-cos(x - pi)

Here also remains same.

Option D: y = tan 2x

The tangent function does not have an amplitude because it has no maximum or minimum value.

Hence, correct option is A.

pishuonlain [190]3 years ago

6 0

Answer:

y= 3cos4x

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Write a division expression with a quotient that is: greater than 8÷0.001 less than 8÷0.001 between 8÷0.001 and 8÷110 does one b

Anna71 [15]

Answer:

9÷0.001 is greater than 8÷0.001.

7÷0.001 is less than 8÷0.001.

8÷0.002 lie between 8÷0.001 and 8÷110.

Step-by-step explanation:

The division expression which is greater than 8÷0.001 is:

9÷0.001

Since, the numerator of the number 9÷0.001 is greater than 8÷0.001. and as their denominator is same.

so, the number whose numerator is greater than the other will result in the overall number to be greater.

The division expression which is less than 8÷0.001 is 7÷0.001.

Since, for two numbers with same denominator the number whose numerator is smaller is smaller than the other.

The division expression that lie between 8÷0.001 and 8÷110 is: 8÷0.002.

Since 8÷0.002 is greater than 8÷110, as for two numbers with same numerator but different denominator the number whose denominator is greater is a smaller number.

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Answer:

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