Showing that a function has the intermediate value property
32708
Showing Intermediate Value Property Holds
106768
Recognizing that a function has no elementary antiderivative
80421
Show that $a - b \mid f(a) - f(b)$
24050
Characterization of the Closure of a Set
39406
Continuity $\Rightarrow$ Intermediate Value Property. Why is the opposite not true?
84301
Showing that some Function on the Unit Disc is injective
14830
A transformation of F[x]
101778
Show that there is $\eta\in(0,1)$ with $f''(\eta)=f(\eta)$
75882
Countability of local maxima on continuous real-valued functions
3518
Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
74793
The primitive of a discontinuous function?
90055
Show that $\mathcal P(x)\notin x$
74950
Show a function for which $f(x + y) = f(x) + f(y) $ is continuous at zero if and only if it is continuous on $\mathbb R$
97371
Proving a function is constant, under certain conditions?
53767
How to prove that derivatives have the Intermediate Value Property
105658
Show that a function that is locally increasing is increasing?
141618
Is every real valued function on an interval a sum of two functions with Intermediate Value Property?