# What is the end behavior of the square root function?

Note: "end behavior" of a function is referred to the behavior of a function when it reaches towards its extreme points.

By signing up, you agree to our Terms of Service and Privacy Policy

The end behavior of the square root function ( f(x) = \sqrt{x} ) as ( x ) approaches positive infinity is that ( f(x) ) increases without bound. As ( x ) approaches negative infinity, the function is undefined in the real number system because the square root of a negative number is not a real number. Therefore, the square root function ( f(x) = \sqrt{x} ) is only defined for ( x \geq 0 ).

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.

- How do you find the asymptote(s) or hole(s) of #f(x) = (x+3)/(x^2-9)#?
- Let #f(x)=2x+3# and #g(x)=x^2-4# and #h(x)=x-3/2#, how do you find f(h(x))?
- How do you find vertical, horizontal and oblique asymptotes for #f(x) =(x-1)/(x-x^3)#?
- What is the inverse function of #f(x) =5x^3 + 4x^2 + 3x + 4#?
- How do you identify all asymptotes or holes for #f(x)=(2x-2)/(x^2-2x-3)#?

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