- #1
John O' Meara
- 330
- 0
Generate the graph of f(x)=x^3-4x+5 with a graphing utility. And use the graph to find delta such that |f(x)-2|<.05 if 0<|x-1|<delta [Hint show that the inequality |f(x)-2| < .05 can be rewritten 1.95 < x^3-4x+5 < 2.05, then estimate the values of x for which f(x)=1.95 and f(x)=2.05]. Now I can do the graphing parts and I can correctly estimate the values of x, but I cannot do the "show that the inequality |f(x)-2|<.05 can be rewritten etc." Can anyone show me how to do it as I have started studying a University maths book on my own. Thanks.