a. Sketch the graphs of y = x 2 + 1 and 2y = x 1.

Question:

a. Sketch the graphs of y = x2 + 1 and 2y = x – 1.

b. Explain why there are no real solutions to the equation 2x2 – x + 3 = 0.

c. Work out the range of values of a such that the graphs of y = x2 + a and 2y = x – 1 have two points of intersection.

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