Use the graph of f to find $\delta$ so that $\vert f(x) - f(a)\vert <0.0028$ when $\vert x-a\vert < \delta$ if $a = 0.43$ and $f(a) = 0.54876021$.
$\delta =$
To change the graph enter values for

x min = x max=

y min = y max=
and then press the Submit Answer button.

Note: $f(a) + \epsilon$ and $f(a)-\epsilon$ are graphed in red to help you find $\delta$. Mathematically speaking, once you have found $\delta$ any smaller number will also work for $\delta$. Since that would make the problem rather easy, you could just put in a very small number, for this problem you will need to find the largest delta that will work. Your answer must be within 3e-06 of the correct answer.