How do you find the domain and range of #y=2sqrtx#?
Domain
Range
A function's range is the range of possible y-values (minimum to maximum y-value), and its domain is the entire set of possible values of the independent variable.
Since we are limited to using only rational numbers in this instance, we cannot have a negative x. If we did, we would have an infinite domain and range. Consequently, the range that results for y is also from zero to infinity.
By signing up, you agree to our Terms of Service and Privacy Policy
To find the domain and range of the function ( y = 2\sqrt{x} ):
-
Domain (input values): The square root function ( \sqrt{x} ) is defined only for non-negative real numbers (since square roots of negative numbers are not real). Therefore, the domain of ( y = 2\sqrt{x} ) is all real numbers greater than or equal to 0. In interval notation, the domain is ([0, \infty)).
-
Range (output values): Since ( \sqrt{x} ) always yields non-negative values, and multiplying by 2 does not change this property, the range of ( y = 2\sqrt{x} ) will also be non-negative real numbers. In interval notation, the range is ([0, \infty)).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do you find two consecutive odd integers such that 2 times the lesser is 19 less than 3 times the greater?
- Pat bought 6 shirts that were all the same price. He used a traveler's check for $25, and then paid the difference of $86. What was the price of each shirt?
- How do you simplify #n^3-n^2#?
- How do you find the range of #f(x)= (x^3+1)^-1#?
- Lucas had 2.3 pounds of grapes left over from his class party. The class ate 1.9 pounds of the grapes. How many pounds of grapes did Lucas buy?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7