The equation is .
Find the x - intercept by substituting y = 0 in .
(Write original equation)
(Substitute y = 0)
(Add 3 to each side)
(Divide each side by 2)
The x - intercept is .
Find the y - intercept by substituting x = 0 in .
(Write original equation)
(Substitute x = 0)
(Simplify)
The y - intercept is .
Test for symmetry with respect to x - axis:
\ (Write original equation)
(Replace y with
y)
This is not an equivalent equation.
\Test for symmetry with respect to y - axis:
\ (Write original equation)
(Replace x with
x)
(Simplify)
This is not an equivalent equation.
\Test for symmetry with respect to origin:
\ (Write original equation)
(Replace y with
y and x with
x)
(Simplify)
This is not an equivalent equation.
\So there is no symmetry.
The equation is .
graph is shown below :
\
The x - and y - intercepts are and
.
The graph of equation has no symmetry, and the graph of
is shown below : \ \