Question

Use a graphing calculator or computer to verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.05. (Round the answers to three decimal places.) root 5(1-x) ~= 1 - 1/5 x

Answer 1

The approximation is accurate to within 0.05 between x=-0.98 and x=0.61

Explanation:

So basically I graphed it all in Geogebra, the real function in black and the approximation in red. The blue line is and if condition I wrote and the green lines are the extreme points of the blue.