Page 23 - Pra U STPM 2022 Penggal 1 - Mathematics (T)

Mathematics Term 1 STPM Chapter 1 Functions

6. Sketch the graph for each of the following curves, showing the asymptotes.
(a) y = 2 (b) y = 1 – x (c) y = x 2
1 1 + x 1 + 2x 1 + x
7. Sketch the graph of
(a) y = x (b) y = x
2
1 + x 1 + x
8. Sketch the graph of
(a) y = |2x – 1|
(b) y = |(x – 1)(x – 2)|
(c) y = 3 + |x + 1|
(d) y = |2x + 5| – 4

9. Sketch the graphs of y = |x + 1| and y = |3x – 5| on the same diagram. Find the set of values of x such
that |x + 1| . |3x – 5|.

10. Sketch the graphs of y = |x| and y = |x – 7x + 6| on the same diagram. Determine the set of values of
2
2
x such that |x| , |x – 7x + 6|.
11. The function f is defined on the domain [–4, 4] by f(x) = x + 5, –4 < x < –2; f(x) = x + 2,
2
–2 , x < 2; and f(x) = –x + 7, 2 , x < 4. Sketch the graph of f.

12. The function f is defined on the domain [–2, 5] as follows:
2
–2x + 3, –2 < x < 0,
f(x) = x + 1, 0 , x < 2,
2
–2x + 8, 2 , x < 5.
Sketch the graph of f.

13. The function f is defined by
3
|2x – 1|, – < x , 3 ,
2 2
f(x) = 4, 3 < x < 3,
2
– x 2 + 6, 3 , x < 5.
3
Sketch the graph of f.

14. The function f is defined by
x + 1, –4 < x , –2,
x + 2, –2 < x , 0,
f(x) =
x + 3, 0 < x , 2,
x + 4, 2 < x < 4.
Sketch the graph of f.

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01a STPM Math T T1.indd 20 3/28/18 4:20 PM