a. On the same axes, sketch the graphs of y = 1+x and y = x 2

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a. On the same axes, sketch the graphs of y = √1+x and y = x2.

b. Using your answer to part a, explain why the equation x2 − √1 + x = 0 has two roots.

c. Show, by calculation, that the smaller of these two roots lies between x = −1 and x = 0.

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