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3 years ago

Vhich of the following functions have graphs that oscillate? Select all that apply

Mathematics

1 answer:

gladu [14]3 years ago

6 0

Answer:

Only options A and B are correct, i.e. y = sin∅ and y = cos∅.

Step-by-step explanation:

The graphs that oscillate, should be periodic in nature and continuous functions.

We know all trigonometric functions are periodic in nature. But not all trigonometric functions are continuous.

The function is continuous if its values are defined at all angles and it should not be undefined for any particular angle.

We know the following facts:-

tan(90°) = ∞

sec(90°) = ∞

csc(0°) = ∞

cot(0°) = ∞

<u>Only sin and cos don't have values ∞ at any angle.</u> It means only sin and cos are continuous functions.

Hence, only options A and B are correct, i.e. y = sin∅ and y = cos∅.

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2 years ago

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zubka84 [21]

Answer:

A.Matter can change from one state to another if heated or cooled.

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3 years ago

Solve: <br> g/3+11=25<br> Thank you so much!

Fofino [41]

G/3 + 11 = 25

Multiply both sides by 3

3.(g/3) + 3 . 11 = 3. 25

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subtract 33 from both sides:

g = 75 - 33

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hope this helps :)

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3 years ago

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The table shows three unique functions.

Dovator [93]

Answer:

<h2>All three functions have a y-intercept.</h2>

Step-by-step explanation:

The table is attached, there you can observe functions f(x), g(x) and h(x).

Remember, when x = 0, it represents a y-intercept. So, we can deduct that all three functions have y-intercept, (0,1) for f(x), (0, -1/2) for g(x) and (0,-5) for h(x).

Also, x-values represent domain values, however, in this case, we can't say that all three function have the same domain values, because we don't know the domain defintion for each of them to determine such thing.

Additionally, in the table you can observe that f(x) has the greatest maxium, so the second choice is also false. And neither function has x-intercept.

Therefore, the only right answer is the third choice.

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3 years ago

What is the smallest solution to the equation 3x<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^

topjm [15]

IF you mean $3 x^{2} -16=131$ , then the following would be a solution:

First add 16 to both sides of the equation:
$3 x^{2} = 147$

Now divide both sides of the equation by 3:
$x^{2} =49$

Take the square root of both sides to solve for "X", or simply solve by inspection: "what number(s) can be squared to get 49?"

Answer: -7 and 7 So the smallest solution would be "-7"

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3 years ago