TOPIC 5: Functions
1. Is the set of ordered pairs a function? {(1, 2), (3, 2), (4, 3), (5, 4)}
2. Is y a function of x? x   y 2  2 y  1
3. Given y  f  x   5 x  7 , complete the ordered pair (___, – 8).
x2
, find f  2  .
4. Given f  x  
1 x
5. Given f  x   2 x 2 and g  x   x  1 . Find f  g  x  .
6. Given f  x   x 2  3x . Find x so that f  x   4 .
7. Is the graphed relation a function?
8. From the graph shown for f  x  , tell
whether the statement “ f  3  f 1 ”
is a true statement or a false statement.
9.
Sketch the graph of f  x    x 2
10. Sketch the graph of y   x  1
1
ANSWERS TOPIC 5: Functions
1.
Yes
2.
No
3.
(3, – 8)
4.
f  2 
5.
f  g  x   2 x 2  4 x  2 or f  g  x   2 x  1
4
3
2
6.
There are two solutions: x  4 or x  1 .
7.
Yes
8.
True
9.
10.
2