Is there a function whose graph is symmetric with respect to the x-axis? Explain. If it exists give an example if it does not exist explain thx
Follow Math Help Forum on Facebook and Google+
Originally Posted by intelli Is there a function whose graph is symmetric with respect to the x-axis? Explain. If it exists give an example if it does not exist explain thx Nope because it would have 2 y's corresponding to 1 x. A easy way to see what I'm talking about is using the vertical line test
What sort of a function? Any old function? x = y^2 is a parabola symmetric through the x-axis.
Originally Posted by Cloud_pin What sort of a function? Any old function? x = y^2 is a parabola symmetric through the x-axis. That would be 2 functions $\displaystyle y=\sqrt{x}$ $\displaystyle y=-\sqrt{x}$
thx i understand it
What about the function, y=0?
View Tag Cloud