Answered

IDNLearn.com: Your trusted platform for finding reliable answers. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.

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

What is the input, or independent variable?

A. [tex]f(x)[/tex]

B. [tex]x[/tex]

C. [tex]y[/tex]

Sagot :

GinnyAnsweridn
To determine the input or independent variable of a function, we need to understand what role the variables play in the function definition.

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

1. The function [tex]\( f(x) \)[/tex] represents the value of the function for a given input.
2. In the expression [tex]\( f(x) = 10 - x^3 \)[/tex], the term [tex]\( x \)[/tex] is the variable that we input into the function to get an output.
3. The function [tex]\( f(x) \)[/tex] shows how the output of the function changes based on the value of [tex]\( x \)[/tex]. Here, [tex]\( x \)[/tex] is the variable we are allowed to choose freely; it is the value you input into the function.
4. The notation [tex]\( f(x) \)[/tex] specifically indicates that the function [tex]\( f \)[/tex] depends on the variable [tex]\( x \)[/tex].

Therefore, the input, or independent variable, in the function [tex]\( f(x) = 10 - x^3 \)[/tex] is [tex]\( x \)[/tex].
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.