### Questions (17)

 9 “If $f$ is a linear function of the form $f(x)=mx+b$, then $f(u+v)=f(u)+f(v).$” True or false? 4 How to solve this absolute value inequality? $|x| + |x - 2| \gt 5$ 2 Is set difference commutative and associative? 2 Find the domain and range of the following functions. 1 A few questions about the graph of $y=x^3-4x+1$.

### Reputation (445)

 +20 Is set difference commutative and associative? +2 Prove that $\mathbb R^n - 0$ deformation retracts to a sphere $\mathbb S^ {n-1}$. +10 How to solve this absolute value inequality? $|x| + |x - 2| \gt 5$ +2 How to find the limit using L'Hôspital's Rule

### Answers (3)

 1 Finding arc length of a sector. 0 How to find the surface area of a open top rectangular container when you know the diameter and height? 0 For what positive integer values of $k$ make $\sin^2(k)=0$?

### Tags (21)

 1 euclidean-geometry 0 proof-writing × 2 1 geometry 0 calculus × 2 0 algebra-precalculus × 7 0 continuity 0 trigonometry × 5 0 derivatives 0 graphing-functions × 3 0 elementary-set-theory

### Bookmarks (3)

 43 How to prove a limit exists using the $\epsilon$-$\delta$ definition of a limit 12 $\epsilon$-$\delta$ proof that $\lim_{x \to 1} \sqrt{x} = 1$ 7 Proof of $A\cap(B\cup C) = (A\cap B)\cup(A\cap C)$

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