# Math Help - functions college algebra help

1. ## functions college algebra help

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

2. 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

3. What sort of a function? Any old function? x = y^2 is a parabola symmetric through the x-axis.

4. 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

$y=\sqrt{x}$
$y=-\sqrt{x}$

5. ## thx

thx i understand it

6. What about the function, y=0?