All categories

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:

You might be interested in

I need help please!!!

Jlenok [28]

Answer:

1. Explain what a medical sociologist means by "health and illness are social attributes influenced by social factors"

7 0

3 years ago

Which set or ordered pairs represents y as a unction Or X!

Zepler [3.9K]

A relation is said to be a function when every element in the domain has one and only one distinct image in the co- domain.

In the first three options , one single element in domain has more than one image.

(-2,3), (-2, 2), (-2, 1), (-2, 0)

here -2 as an element in the domain has 3,2,1,0 has image-----> so not a function

(10, 15), (5, 1), (10, 6), (6, 10)

Here 10 , an element in the domain has 15,6 as image-----> so not a function

(-11, 2), (3,8), (3, 2), (2, 2)

Here 3, as an element in the domain has 8 and 2 as image-----> so not a function

So, OPTION D

(1,6), (2, 5), (10, 5), (-17, 8)

7 0

2 years ago

According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22. A r

OleMash [197]

Answer: d. There is no relationship between education level and smoking habits.

Step-by-step explanation:

The null hypothesis is the affirmation that two parameters or phenomena do not have a relation between them.

Here the parameters are smoking and having a bachelor's degree or higher education.

Then the null hypothesis says that those two things do not have any relation, this would imply that the probability of being a smoker does not depend on having a degree or not.

Then the correct option is d "There is no relationship between education level and smoking habits."

8 0

3 years ago

Read 2 more answers

Question content area top

Dahasolnce [82]

Answer:

695

Step-by-step explanation:

6 0

2 years ago

What changes occurred in the United States as a result of the cotton gin?

Jlenok [28]

While it was true that the cotton gin reduced the labor of removing seeds, it did not reduce the need for slaves to grow and pick the cotton. In fact, the opposite occurred. Cotton growing became so profitable for the planters that it greatly increased their demand for both land and slave labor

3 0

3 years ago

Read 2 more answers