Properties of the Function $f(x)=\frac{x-1}{x^2}$

Submitted by ladislav.foltyn on Mon, 03/04/2019 - 19:57
Project ID: 
6000000035
Accepted: 
SubArea: 
Analyzing function behavior
Type: 
Match
Layout: 
6x8
Question: 
Consider a function f(x)=x−1x2. Complete each of the given sentences with one of the given expressions to create a true statement about f.
Questions Title: 
Sentences:
Answers Title: 
Expressions:
Question 1: 
The function f has …… at the point x=2.
Answer 1: 

a local maximum

Question 2: 
The function f is …… on the interval (0;3).
Answer 2: 

concave

Question 3: 
The function f is ……. on the interval (2;∞).
Answer 3: 

decreasing

Question 4: 
The function f has …… at the point x=0.
Answer 4: 

a point of discontinuity

Question 5: 
The function f is ……. on the interval (1;∞).
Answer 5: 

positive

Question 6: 
The function f has …… at the point x=3.
Answer 6: 

an inflection

Answer 7: 

a local minimum

Answer 8: 

convex

Tex: 
%tiket 32589 \NastavOT{2} \NastavOD{2}