What is the end behavior of #f(x) = x^3 + 4x#?
To do this, let's take some limits:
Hope this helps!
By signing up, you agree to our Terms of Service and Privacy Policy
End behavior : Down ( As
Up ( As
and far right portions. Using degree of polynomial and leading
coefficient we can determine the end behaviors. Here degree of
For odd degree and positive leading coefficient the graph goes
graph{x^3 + 4 x [-20, 20, -10, 10]} [Ans]
By signing up, you agree to our Terms of Service and Privacy Policy
The end behavior of ( f(x) = x^3 + 4x ) as ( x ) approaches positive or negative infinity is that the function grows without bound. As ( x ) approaches positive infinity, ( f(x) ) increases without bound, and as ( x ) approaches negative infinity, ( f(x) ) decreases without bound.
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.
- Prove that #(cosxcotx)/(1 - sinx) - 1 = cscx#?
- How do you determine if #g(x) = (4+x^2)/(1+x^4)# is an even or odd function?
- How do you determine if #y=2x^5+x# is an even or odd function?
- How do you find the inverse function of #f(x)=x/(x+1)#?
- How do you identify all asymptotes or holes for #y=(4x^3+32)/(x+2)#?

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