f -3 7

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Finding f(7):**

In order to determine the value of f(7), we refer to the given diagram. This diagram is known as a function mapping diagram, which visually represents how each element from the domain (the set of input values on the left) is associated with an element in the codomain (the set of output values on the right).

In this specific diagram:
- The domain (left oval) contains the values: 7, -4, and 6.
- The codomain (right oval) contains the values: -3, 0, and 7.

The arrows indicate the mapping of each element in the domain to an element in the codomain according to the function \( f \). Here’s the mapping detail:
- The element 7 is mapped to -3.
- The element -4 is mapped to 0.
- The element 6 is mapped to 7.

By inspecting the mapping for the element 7 in the domain, we see that it is connected by an arrow to the value -3 in the codomain.

Therefore, the value of f(7) is:
\[ f(7) = -3 \]

**Answer:**
\[ f(7) = \boxed{-3} \]
Transcribed Image Text:**Finding f(7):** In order to determine the value of f(7), we refer to the given diagram. This diagram is known as a function mapping diagram, which visually represents how each element from the domain (the set of input values on the left) is associated with an element in the codomain (the set of output values on the right). In this specific diagram: - The domain (left oval) contains the values: 7, -4, and 6. - The codomain (right oval) contains the values: -3, 0, and 7. The arrows indicate the mapping of each element in the domain to an element in the codomain according to the function \( f \). Here’s the mapping detail: - The element 7 is mapped to -3. - The element -4 is mapped to 0. - The element 6 is mapped to 7. By inspecting the mapping for the element 7 in the domain, we see that it is connected by an arrow to the value -3 in the codomain. Therefore, the value of f(7) is: \[ f(7) = -3 \] **Answer:** \[ f(7) = \boxed{-3} \]
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