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

AI Thread Summary
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.
Apurbow
Messages
2
Reaction score
0
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)?
 
Mathematics news on Phys.org
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 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
Back
Top