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What are the domain and range of the function?

f(x)=−35x3



Domain: (−∞, 0)∪ (0, ∞)

Range: (−∞, 0)∪ (0, ∞)



Domain: (−∞, 0)∪ (0, ∞)

Range: (−∞, 0)



Domain: (−∞, 0)∪ (0, ∞)

Range: (0, ∞)



Domain: (−∞, ∞)

Range: ​ (−∞, 0) ​

Respuesta :

SaniShahbaz

Answer:

The answer is explained step by step below.

Step-by-step explanation:

Considering the function

[tex]f\left(x\right)=-35x^3[/tex]

As we know that the domain of a function is the set of input values for which the function is real and defined.

As

the function [tex]f\left(x\right)=-35x^3[/tex] has no undefined points nor domain constraints. Thus, the domain is [tex]-\infty \:<x<\infty[/tex]

Simply,

[tex]\mathrm{Domain\:of\:}\:-35x^3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

As the range is the set of the dependent variable for which the function is defined.

So,

The range of the polynomials with odd degree is all the real numbers

which is [tex]-\infty \:<f\left(x\right)<\infty[/tex]

Simply,

[tex]\mathrm{Range\:of\:}-35x^3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

The graph is also attache below.

Keywords: domain, range, function

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Ver imagen SaniShahbaz
ankitprmr2

The domain and the range of the functions is real numbers. Hence, option A is correct.

We need to determine the domain and range of the function  [tex]\bold{f(x)=-35x^3}[/tex].

Let us define the domain and the range of the function:

Domain:

When all the possible values of an independent variable for which we get the real value of a dependent variable then the values of the independent variables is called domain of the function.

Range:

All the possible values of the function is called the range of the function. Range is the sub-set of co-domain.

Now,

For the given function [tex]f(x)=-35x^3[/tex].

No value of x can restrict the above function hence its domain is real number that is [tex](-\infty, +\infty)[/tex].

And, range of the function is also the same [tex](-\infty, +\infty)[/tex].

Thus, the domain and the range of the functions is real numbers. Hence, option A is correct.

To know more about the domain, please refer to the link:

https://brainly.com/question/13113489

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