The graph of real value of function f: R- 0 arrow R defined by f(x)=(1/x), x ∈ R- 0 is

Question

The graph of real value of function f: R- 0 arrow R defined by f(x)=(1/x), x ∈ R- 0 is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

First construct the table given below X -2 -15 -1 â 0 .5 0 .25 0.5 1 1.5 2 y=(1/x) -0.5 -0.67 -1 -2 4 2 1 0.67 0.5 The domain is all real numbers except 0 and its range is also all real numbers except 0 . The graph of f is given by,

Q. The graph of real value of function $f : R - {0} \to R$ defined by $f (x) = \frac{1}{x}, x \in R - {0}$ , is

First construct the table given below

$X$ -2 -15 -1 − 0 .5 0 .25 0.5 1 1.5 2

$y = \frac{1}{x}$ -0.5 -0.67 -1 -2 4 2 1 0.67 0.5

The domain is all real numbers except 0 and its range is also all real numbers except 0 . The graph of $f$ is given by,

$X$	-2	-15	-1	− 0 .5	0 .25	0.5	1	1.5	2
$y = \frac{1}{x}$	-0.5	-0.67	-1	-2	4	2	1	0.67	0.5

Q. The graph of real value of function f:R−{0}→R defined by f(x)=x1​,x∈R−{0}, is

First construct the table given below X -2 -15 -1 − 0 .5 0 .25 0.5 1 1.5 2 y=x1​ -0.5 -0.67 -1 -2 4 2 1 0.67 0.5 The domain is all real numbers except 0 and its range is also all real numbers except 0 . The graph of f is given by,

Q. The graph of real value of function $f : R - {0} \to R$ defined by $f (x) = \frac{1}{x}, x \in R - {0}$ , is

First construct the table given below

$X$ -2 -15 -1 − 0 .5 0 .25 0.5 1 1.5 2

$y = \frac{1}{x}$ -0.5 -0.67 -1 -2 4 2 1 0.67 0.5

The domain is all real numbers except 0 and its range is also all real numbers except 0 . The graph of $f$ is given by,