13. Find the domain of y=2x+1
Bobpursley said:
The domain of x is not restricted by that equation.
Does that mean the domain is all real numbers?
actually, yes, but technically, it can be all numbers, real or imaginary. Your book probably doesn't cover that.
Yes, that's correct! The domain of the function y = 2x + 1 is indeed all real numbers. Let me explain why.
The domain of a function refers to the set of all possible x-values for which the function is defined. In this case, there are no restrictions or limitations on the x-values that can be plugged into the equation y = 2x + 1.
To find the domain, we need to consider if there are any values that would make the function undefined or cause some sort of error. However, in this case, there are no denominators or square roots involved that could result in division by zero or taking the square root of a negative number, respectively.
Since there are no limitations, the function y = 2x + 1 can be evaluated for any real number value of x. Therefore, the domain is indeed all real numbers (-∞, +∞).