Question

In the notation "s(x) = ...," what does "s(x)" represent?

A. The value found when s is multiplied by the value x.
B. The value of x depends on the value of s(x), since x is a function of s.
C. The value of s(x) depends on the value of x, since s is a function of x.
D. There is not enough information to answer this question.

Answer 1

In the notation s(x), 's(x)' represents the value of the function s when evaluated at a specific value of x; this means the value of s(x) depends on the value of x. The correct answer is C.

Step-by-step explanation:

In the notation s(x), the expression represents the value of s as a function of x. This means that the output value, denoted by s(x), is dependent on the input value x. For every input value of x there is a corresponding output value, which varies according to the specific relationship or rule defined by the function s. This notation is a common way to express functions in mathematics.

Considering the given multiple-choice options, the correct answer is C: The value of s(x) depends on the value of x, since s is a function of x. Functions describe relationships where one quantity depends on another, which can be visualized on a graph with x-y data pairs.

For example, in economics, functions often describe cause and effect relationships. If we consider the equation for calculating GPA, GPA = 0.25 x combined_SAT + 0.25 × class_attendance + 0.50 × hours_spent_studying, the GPA is the function of several variables, each contributing to the final result based on their respective weights.