Properties of the Function $f(x)=-x^3+4x^2-4x$

Submitted by ladislav.foltyn on Mon, 03/04/2019 - 19:45
Project ID: 
6000000034
Accepted: 
SubArea: 
Analyzing function behavior
Type: 
Match
Layout: 
4x6
Question: 
Consider a function f(x)=−x3+4x2−4x. 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=23

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

(−∞;23)

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

x=43

Answer 5: 

(43;∞)

Answer 6: 

x=2

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