Properties of functions

1003019403

Level: 
A
Suppose each of the following tables defines function f completely. Identify which of the tables represents an odd function.
x−5−3−20235f(x)2−310−13−2
x−5−3−10135f(x)−5−3−11135
x−3−2−10123f(x)2−3101−32
x−3−2−11234f(x)2−31−1324

1003019501

Level: 
A
Suppose function f is given completely by the next table. x−3−2−10123f(x)2−3101−22 Identify which of the following statements is true.
Function f has minimum at x=−2 and maximum at x=−3 and at x=3.
Function f has minimum at x=−3 and maximum at x=2.
Function f has minimum at x=−2 and it has no maximum.
Function f has minimum at x=−3 and maximum at x=3.

1003019502

Level: 
A
Suppose function f is given completely by the next table. x−2590−824f(x)2−30−7−154 Identify which of the following statements is true.
Function f has minimum at x=0 and maximum at x=2.
Function f has minimum at x=0 and maximum at x=9.
Function f has minimum at x=−8 and maximum at x=2.
Function f has minimum at x=−8 and maximum at x=9.

1003030801

Level: 
A
Suppose each of the following tables defines functions completely. Identify which of the tables represents the decreasing function.
x−1−20−3321f(x)34−15−5−4−3
x3210−1−2−3h(x)54320−1−2
x−3−2−10123g(x)3210321
x−1−20−3321m(x)34−35−5−4−3

1003030906

Level: 
A
The function f has a maximum and has not a minimum. Identify which of the following statements is false, i.e. find the statement that is false for at least one of the functions that meet the given conditions.
The function f is not bounded above.
The function f is bounded below.
The function f is not bounded below.
The function f is not bounded.

1103019503

Level: 
A
Function f is given by the graph. Identify which of the following statements is true.
Function f has minimum at x=0 and maximum at x=5.
Function f has minimum at x=−5 and maximum at x=5.
Function f has minimum at x=−1 and maximum at x=4.
Function f has neither minimum nor maximum.