Analyzing Function Properties

Project ID: 
6000000034
Accepted: 
Type: 
Layout: 
Question: 
Consider a function $f(x)=-x^3+4x^2-4x$. Match the first with the second part of a sentence to create a true statement about $f$.
Questions Title: 
The first part of a sentence:
Answers Title: 
The second part of a sentence:
Question 1: 
The function $f$ is increasing on the interval
Answer 1: 

$(1;2)$

Question 2: 
The function $f$ has a local minimum at the point
Answer 2: 

$x=\frac23$

Question 3: 
The function $f$ is concave up on the interval
Answer 3: 

$\left(-\infty;\frac23\right)$

Question 4: 
The function $f$ has an inflection at the point
Answer 4: 

$x=\frac43$

Answer 5: 

$\left(\frac43;\infty\right)$

Answer 6: 

$x=2$

Tex: 
%tiket 32587 \NastavOT{2} \NastavOD{3}