Math Problem Statement

Which of the following is/are TRUE about f(x)?

  1. Value of f at x II. Image of x under f A. I only B. II only C. I and II D. Neither I nor II

Solution

The correct answer is C. I and II.

Explanation: The term f(x)f(x) represents the value of the function ff at a particular point xx. This is often referred to as the value of ff at xx, and it is also the image of xx under ff. Both statements I and II correctly describe f(x)f(x).

Would you like further details on function notation?

Here are five related questions:

  1. What is the difference between a function's domain and range?
  2. How do we interpret the notation f(a)=bf(a) = b?
  3. What does it mean if f(x)=g(x)f(x) = g(x) for all xx in a certain interval?
  4. How can we determine if a function is one-to-one?
  5. What is the significance of the inverse of a function?

Tip: Always check if a function is well-defined for all elements in its domain to avoid undefined values.

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Math Problem Analysis

Mathematical Concepts

Function Notation
Mathematical Functions

Formulas

f(x)

Theorems

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Suitable Grade Level

Grades 9-12