Thread: conjectures .. about functions

I'm fairly lost. I understand what the question is asking me, but I don't know where to go from there.

Here it is.

Make a conjecture with respect to the point of intersection between a function and its inverse. Verify your conjecture using

a. a linear function
b. a quadratic function
c. a radical function and its inverse

I'd appreciate it a bunch if you could help me understand this. =)

Thanks. Katt.

Originally Posted by asiankatt

I'm fairly lost. I understand what the question is asking me, but I don't know where to go from there.

Here it is.

[I]Make a conjecture with respect to the point of intersection between a function and its inverse. Verify your conjecture using

a. a linear function

And function, a not equal to zero,
y=ax+b ---> linear has a inverse.
The explanation is simple, since you have a non-horizontal line the horizontal line test only intersects once so it has an inverse.

b. a quadratic function

No consider y=x^2

c. a radical function and its inverse

No consider y=1/x^2