2. If a function is one-to-one, then its inverse exists. For any function, each member
of the domain corresponds to one, and only one, member of the range. If f:x + y
is a function, then y → x is also a function. We call this function the inverse function
of f, written f-1:y x
f
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FIGURE Q2
Based on polynomial equations, k(x) = mx? + nx + c, where {m, n, c eR) answer
the following questions.
• Express a standard form of k(x) in terms of m, n and c
• Use graphical approach and the relevant test to determine whether a function
is one-to-one or not.
• Express an inverse function of k(x) in terms of m, n and c
• Determine TWO conditions that make inverse of k(x) exists
Sketch the graphs of the k(x) and k-'(x) for both conditions.
Specify the domains and ranges of the k(x) and k'(x) for both conditions.