MHB How to Learn Domain,Range and Real Number Of Function Mathematics ?

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To learn about the domain, range, and real numbers of functions in mathematics, understanding the definitions and characteristics of these concepts is essential. For the function f(x) = (x + 2), the domain is all real numbers (x ∈ ℝ), and the range is also all real numbers (-∞, ∞). Visualizing functions through graph sketches can significantly aid in comprehending their domain and range. Engaging with practice problems and seeking clarification on specific questions can enhance learning. Mastery of these concepts is crucial for further studies in mathematics.
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How to Learn Domain,Range and Real Number Of Function Mathematics ?
I have some math Questions for Solving?
1.Find the Domain and range of f(x)= (x+2)?
 
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Apurbow said:
1.Find the Domain and range of f(x)= (x+2)?

$f(x)$ is defined for all real $x$, so the domain is $x\in\mathbb{R}$. The range is $(-\infty,\infty)$.
 
Apurbow said:
How to Learn Domain,Range and Real Number Of Function Mathematics ?

Sketching the graph of a function helps one visualize the domain & range.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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