Roots of a quadratic equation that is almost linear The equation ax2 + 2x - 1 = 0, where...

Roots of a quadratic equation that is almost linear The equation ax² + 2x - 1 = 0, where a is a constant, has two roots if a > -1 and a ≠ 0, one positive and one negative:

a. What happens to r₊(a) as

b. What happens to r_-(a) as

c. Support your conclusions by graphing r₊(a) and r_-(a) as functions of a. Describe what you see.

d. For added support, graph ƒ(x) = ax² + 2x - 1 simultaneously for a = 1, 0.5, 0.2, 0.1, and 0.05.