- #1
intenzxboi
- 98
- 0
i know for a equation to be 1-1 they have to pass the horizontal line test.
so say for example
(-8 + x) ^4
i know this is not a one to one because it gives me a parabola.
The problem that I am having is being able to explain in a equation.
MY SOLUTION
First derive the equation so that i know where it is increasing/decreasing
4(-8+x)^3
so i take -8+x>0 is increasing
x>8 <----- I am sure that's correctnow to find it decreasing you flip the sign
and i take -8+x<0 is decreasing?
but then i also get x<8
What I'm i doing wrong??So if I am doing this right then that means that for a function to be one to one.. It either has to be increasing OR decreasing?? but cannot be both?
so say for example
(-8 + x) ^4
i know this is not a one to one because it gives me a parabola.
The problem that I am having is being able to explain in a equation.
MY SOLUTION
First derive the equation so that i know where it is increasing/decreasing
4(-8+x)^3
so i take -8+x>0 is increasing
x>8 <----- I am sure that's correctnow to find it decreasing you flip the sign
and i take -8+x<0 is decreasing?
but then i also get x<8
What I'm i doing wrong??So if I am doing this right then that means that for a function to be one to one.. It either has to be increasing OR decreasing?? but cannot be both?
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