Answered

Find trusted answers to your questions with the help of IDNLearn.com's knowledgeable community. Whether it's a simple query or a complex problem, our experts have the answers you need.

Think about the function [tex]f(x) = 10 - x^3[/tex].

What is the input, or independent variable?

A. [tex]f(x)[/tex]
B. x
C. y

Sagot :

GinnyAnsweridn
To determine the input, or independent variable in the function [tex]\( f(x) = 10 - x^3 \)[/tex], let's analyze the components of the function.

A function is a relation that assigns to each element [tex]\( x \)[/tex] in a set of inputs exactly one element [tex]\( f(x) \)[/tex] in a set of possible outputs. In the given function:

[tex]\[ f(x) = 10 - x^3 \][/tex]

1. [tex]\( x \)[/tex] is the variable that you can choose or set. It is the input to the function.
2. [tex]\( f(x) \)[/tex] represents the output of the function and depends on the value of [tex]\( x \)[/tex].
3. Sometimes, the output of a function is also denoted as [tex]\( y \)[/tex], meaning [tex]\( y = f(x) \)[/tex], but in this case, we are provided with [tex]\( f(x) \)[/tex] directly.

From the definition of the function [tex]\( f(x) \)[/tex], it is clear that the value of [tex]\( f(x) \)[/tex] (the output) is determined by the value of [tex]\( x \)[/tex]. Therefore, the independent variable, or the input variable, is [tex]\( x \)[/tex].

Thus, the answer is:
[tex]\( x \)[/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.