SOLUTION: Which Statement is NOT always true? A). The inverse of a linear function is a function? B). The inverse of a quadratic function is not a function ? C). If a function has tw

Algebra ->  Functions -> SOLUTION: Which Statement is NOT always true? A). The inverse of a linear function is a function? B). The inverse of a quadratic function is not a function ? C). If a function has tw      Log On


   

Question 1017125: Which Statement is NOT always true?
A). The inverse of a linear function is a function?
B). The inverse of a quadratic function is not a function ?
C). If a function has two x-intercepts, then its inverse has two y-intercepts ?
D). The inverse of an exponential function is a logarithmic function ?
Thanks
Found 2 solutions by Edwin McCravy, Theo:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Which Statement is NOT always true?
A). The inverse of a linear function is a function? 
Not true when the linear function has slope 0.

B). The inverse of a quadratic function is not a function ? 
Always true because a parabola does not pass the horizontal line test.

C). If a function has two x-intercepts, then its inverse has two y-intercepts ? 
Always true, although the inverse is not a function.

D). The inverse of an exponential function is a logarithmic function ? 
Always true.

Edwin

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i think it's probably selection a.

a constant function is a linear function, but it's inverse is not a function.

read this:

http://www.chilimath.com/algebra/advanced/inverse/inverse-of-constant-function.html