SOLUTION: Given the function y=f(x), such that the entire graph of the function lies above the x-axis. Why does the equation f(x)=0 have no real solutions?

Question 537107: Given the function y=f(x), such that the entire graph of the function lies above the x-axis. Why does the equation f(x)=0 have no real solutions?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Because f(x) = 0 would mean that there exists some x such that (x,0) (an x-intercept) is on the graph. Since the entire graph is above the x-axis, this is impossible.
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