Properties of functions

1103048503

Level: 
A
Let f be a periodic function with period 4. The diagram shows a part of the graph of f. Identify which of the following statements is false.
The function f is an odd function.
The function f is increasing in the interval [14;15].
The function f has maximum at x=−5.
The function f is a bounded function.

2000005104

Level: 
A
Find the inverse function to the function given by listing the points [x;f(x)]. f={[1;2];[2;3];[3;4];[4;5];[5;6]}
f−1={[2;1];[3;2];[4;3];[5;4];[6;5]}
f−1={[−1;−2];[−2;−3];[−3;−4];[−4;−5];[−5;−6]}
f−1={[1;12];[12;13];[13;14];[14;15];[15;16]}
f−1 does not exist

2010014501

Level: 
A
Suppose each of the following tables defines function f completely. Identify which of the tables represents an even function.
x−5−3−20235f(x)2−3101−32
x−5−3−20235f(x)2−310−13−2
x−3−2−10123f(x)−3−2−11123
x−3−2−11234f(x)2−31−1324