If f is even, then what other point must also lie on the graph of f (x)? Explain. (b) If f is odd, then what other point must also lie on the graph of f (x)? Explain. CU Boulder MATH 1011 – College Algebra 3 4. (8 points) Let f (x) = x if − 4 ≤ x < −1

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1. (8 points) Suppose q is the rational function defined by q(x) = 5×2 + 19x − 4
x2 + 7x + 12 .
(a) Determine the domain of q(x) and write the answer in interval notation.
(b) Find the vertical asymptote(s), if any, of the graph of q(x).
CU Boulder MATH 1011 – College Algebra 2
2. (8 points) Given that f (x) = 3×2 + 5x − 2, evaluate each of the following. Expand and simplify your answer as much as possible and show all steps leading to your final answer.
(a) f (−2)
(b) f (a + 1)
(c) f (x + h) − f (x)
h
3. (6 points) Suppose the point (−1, 5) is on the graph of a function f (x).
(a) If f is even, then what other point must also lie on the graph of f (x)? Explain.
(b) If f is odd, then what other point must also lie on the graph of f (x)? Explain.
CU Boulder MATH 1011 – College Algebra 3
4. (8 points) Let f (x) =
x if − 4 ≤ x

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