State the domain and range of the relation y = 2x + 3
My answer:
y= 2x+3
y= 2(1)+3=5
domain: 1
range: 5
This is how my book showed me how to do it. I just wanted to make sure I did it right. If not could you please give me an example?
Why are you subbing in x = 1 ?
Did you omit some part of the question?
If y = 2x + 3
you have a straight line, which would go on forever,
so the domain is the set of real numbers
and the range is the set of real numbers.
I am sure you are mis-reading what the book does, perhaps there were some limitations placed on the length of the line ?
What they did in their example is substitute x with one. I wasn't exactly sure why they were doing that so I came on here in hopes that someone could better explain it. Thank you!
To determine the domain and range of the relation y = 2x + 3, you need to understand what the terms mean.
The domain refers to the set of all possible x-values, while the range refers to the set of all possible y-values.
For a linear equation like y = 2x + 3, there are no restrictions on the x-values, so the domain is considered to be all real numbers. This can be denoted as (-∞, +∞), which represents all numbers that can be plugged in for x.
To find the range, you can consider the equation and see how it behaves. In this case, y = 2x + 3 represents a linear equation, where the coefficient of x is 2 which means the graph will have a constant slope. Since there are no restrictions on the y-values, the range of this equation is also all real numbers (-∞, +∞).
Therefore, your answer is correct. The domain is all real numbers, and the range is also all real numbers.
It's always good to double-check your work, so feel free to ask more questions if something is unclear or if you need further clarification.