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.
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