Properties of functions

1003030402

Level: 
C
Suppose function f is given completely by the next table. x−3−2−10123f(x)−12−31−232 Identify which of the following statements is true.
The inverse of f does not exist.
The inverse of f is function h, which is given completely by the next table. x−12−31−232h(x)−3−2−10123
The inverse of f is function g, which is given completely by the next table. x−3−2−10123g(x)1−23−12−3−2
The inverse of f is function m, which is given completely by the next table. x3210−1−2−3m(x)1−23−12−3−2

1003030401

Level: 
C
Suppose function f is given completely by the next table. x−3−2−10123f(x)−1012345 Identify which of the following functions is the inverse of f.
Function h, which is given completely by the next table. x−1012345h(x)−3−2−10123
Function m, which is given completely by the next table. x−3−2−10123m(x)543210−1
Function g, such that g(x)=x−2 for x∈[−1;5].
Function n, such that n(x)=x+2 for x∈[−3;3].

1003030807

Level: 
B
The function f(x) is increasing in the interval J. Identify which of the following statements is false.
The function h(x)=−2f(x) is increasing in the interval J.
The function g(x)=2f(x) is increasing in the interval J.
The function m(x)=f(x)+2 is increasing in the interval J.
The function n(x)=f(x)−2 is increasing in the interval J.

1103030806

Level: 
A
The function f is given by the graph. Identify which of the following statements is false.
The function f is non-increasing in the interval [−3;2].
The function f is not increasing.
The function f is decreasing in the interval [2;5].
The function f is non-decreasing in the interval [−1;2].

1103030803

Level: 
A
There is a part of the graph of the function f(x)=x3 in the picture. Identify which of the following statements is true.
The function f is increasing in the interval [−1;1].
The function f is decreasing in the interval [−1;1].
The function f is non-decreasing and it is not increasing in the interval [−1;1].
The function f is non-increasing in the interval [−1;1].