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2 years ago

What is the range of F(x) = -4cos2x?

Mathematics

1 answer:

MArishka [77]2 years ago

3 0

Assuming you want the range of
-4cos(2x)

the range of the cosine function is -1 to 1. When that is scaled by a factor of -4, it becomes 4 to -4.

The range of F(x) is [-4, 4] in interval notation.

_____
If you want the range of
F(x) = -4cos²(x)
that range will be -4×[0, 1] = [-4, 0].

You might be interested in

What single percentage change is equivalent to a 17% decrease followed by a 12% increase

Finger [1]

Answer:

7.04% decrease

Step-by-step explanation:

Lets use 5 example

5*0.17=0.85

5-0.85=4.15

4.15*0.12=0.498

4.15+0.498=4.648

7.04% of 5 is 4.648

3 0

3 years ago

if you double the input of a function and it results in twice the output and if you triple the input and it result in three time

bearhunter [10]

A function behaving as you state is a linear function, which means that the output varies directly with the input.

So, there exists some constant $k \in \mathbb{R}$ such that your function is in the form

$f(x) = kx$

In fact, if you double the input, you have

$f(2x) = k\cdot(2x) = 2\cdot (kx) = 2f(x)$

And similarly

$f(3x) = k\cdot(3x) = 3\cdot (kx) = 3f(x)$

Note that this is a guess, it may happen that output doubles (triples) if you double (triple) the input, and still the function is not like $y=kx$ .

For example, the function

$f(x) = \dfrac{x^3}{3} - 2x^2 + \dfrac{14}{3}x -2$

is such that

$f(1) = 1,\ f(2) = 2,\ f(3) = 3$

So, it may seems that doubling and tripling the input doubles and triples the output, but this is not true for every input, for example,

$f(2) = 2,\ f(4) = 6$

And so doubling the input didn't double the output.

8 0

3 years ago

Read 2 more answers

Please answer quickly

uranmaximum [27]

Answer:

Given,

Area of the Square = ( x² - 10x + 25 ) m²

We have to find: Length of the side of the square.

Let s be the side of square.

We find length of side of the by using factorization.

According to the question,

s² = x² - 10x + 25

s² = x² - 5x - 5x + 25

s² = x( x - 5 ) - 5( x - 5 )

s² = ( x - 5 )( x - 5 )

s² = ( x - 5 )²

Taking square root on both sides we get,

s = x - 5

Therefore, Expression that represents the length of one side of the square is x - 5.

Step-by-step explanation:

3 0

2 years ago

Write the equation in function form<br> 6y - 4x = 24

k0ka [10]

Answer:

f(x) = (2/3)x + 4

Step-by-step explanation:

An equation in function is found by isolating y, and changing "y" to "f(x)".

Isolate y by moving everything else to the other side

What is done to one side must be done to the other

6y - 4x = 24

6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)

6y = 24 + 4x

6y/6 = 24/6 + 4x/6 (divide both sides by 6)

y = 4 + (2/3)x (simplify)

y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")

f(x) = (2/3)x + 4 (replace y with f(x))

6 0

2 years ago

-15.375÷0 equal to 0 ? or niether <br> EXPLAIN HOW YOU KNOW 3-4 SENTENCES

OleMash [197]

The answer to -15.375÷0 would be neither. This is because you can't divide any number by zero. Any number tried to be divided by zero would be undefined.

3 0

2 years ago