Let (x) = x 2 + x 1. (a) Show that the lines y = x
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Let ƒ(x) = x2 + x − 1.
(a) Show that the lines y = x + 3, y = x − 1, and y = x − 3 intersect the graph of ƒ in two, one, and zero points, respectively.
(b) Sketch the graph of f and the three lines from (a).
(c) Describe the relationship between the graph of ƒ and the lines y = x + c as c changes from −∞ to ∞.
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