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(Solved): Let f(x)=\sum_(j=0)^3 (-1)^(j+1)x^(j) What type of function is f ? Is it injective? surjective? Whe ...
Let
f(x)=\sum_(j=0)^3 (-1)^(j+1)x^(j)
What type of function is f ? Is it injective? surjective? Where are its zeroes? On which intervals is it convex, and on which intervals is it concave? (note: for a function to be concave or convex on an interval, it means that if we restrict the domain of the function
to that interval, it will be a concave or convex function)