unit 1 differential calculus - IGNOU

0
Figure 1.13
(ii) The function g defined on the set of non-zero real number by
1
setting g ( x)
= , x ≠ 0.
The graph of g is shown in Figure 1.14.
2
x
−3 −2 −1
y
0
4
3
2
1
Figure 1.14
1 2
(b) We are giving two functions alongwith their graphs (Figures 1.15(a)
and (b)). By calculations as well as by looking at the graphs, prove
that each is an odd function.
(i) The identity function on R :
f : x → x
(ii) The function g defined on the set of non-zero real numbers by
setting
y
0
1
g ( x)
= , x ≠
x
x
0.
3
x
x
4
2
−4 −2 −1
1 2 3
1
y
3
−3
0
−1
4
x
Differential Calculus
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