Understanding the Concept of a Limit

Question 6 • Precalculus

Review the table of values for function g(x).xg(x)32.9–732.99–6.132.999–6.0133.001–15.0133.01–15.133.1–16

Answer

Limit of g (x) = negative 16 as x approaches 33 minus and limit of g (x) = negative 7 as x approaches 33 plus

Limit of g (x) = negative 15 as x approaches 33 minus and limit of g (x) = negative 6 as x approaches 33 plus

Limit of g (x) = negative 7 as x approaches 33 minus and limit of g (x) = negative 16 as x approaches 33 plus

Limit of g (x) = negative 6 as x approaches 33 minus and limit of g (x) = negative 15 as x approaches 33 plus

Explanation

As x approaches 33 from the left, the table values of g(x) (−7, −6.1, and −6.013) get closer to −6. From the right, the values (−15.013, −15.1, and −16) get closer to −15. Therefore, the left-hand limit is −6 and the right-hand limit is −15, which is choice D.

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