Answer :
To determine the input, or independent variable, of the function [tex]\( f(x) = 10 - x^3 \)[/tex], we need to identify the variable that you can freely choose, and which determines the output of the function.
In the function [tex]\( f(x) = 10 - x^3 \)[/tex], [tex]\( x \)[/tex] is the variable that you input, and it is the variable that can take on different values. The expression [tex]\( 10 - x^3 \)[/tex] depends on the value of [tex]\( x \)[/tex]. Hence, [tex]\( x \)[/tex] is the independent variable.
So the correct answer is: [tex]\( x \)[/tex].
In the function [tex]\( f(x) = 10 - x^3 \)[/tex], [tex]\( x \)[/tex] is the variable that you input, and it is the variable that can take on different values. The expression [tex]\( 10 - x^3 \)[/tex] depends on the value of [tex]\( x \)[/tex]. Hence, [tex]\( x \)[/tex] is the independent variable.
So the correct answer is: [tex]\( x \)[/tex].
