Question

define input value of an equation or function.
a. the input value of an equation or function is any x - value.
b. the input value of an equation or function is any value from a set of values that i can substitute into the equation or function and get the true coordinating output value.
c. the input value of an equation or function is any y - value.
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Explanation:

• Option A: While x - values are often input values in functions like \(y = f(x)\), the definition is too narrow as input values aren't always just x - values (e.g., in multi - variable functions or non - x - y related functions/equations). Also, not all x - values may be valid inputs (e.g., in a function with a domain restriction).
• Option B: The input value of a function or equation is a value from the domain (set of input values) that we substitute into the function/equation to get a corresponding output value (from the range). This is a more accurate and general definition.
• Option C: Y - values are output values (range values) in the context of functions like \(y = f(x)\), not input values.

Answer:

B. The input value of an equation or function is any value from a set of values that I can substitute into the equation or function and get the true coordinating output value.