Function Properties

Project ID: 
6000000035
Accepted: 
Type: 
Layout: 
Question: 
Consider a function $f(x)=\frac{x-1}{x^2}$. 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 $(2;\infty)$.
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 $(1;\infty)$.
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}