Continuity: Quiz

Problem 4

Find a so that g(x) is continuous on the real line.

1. 0
2. 1
3. There is no value of a that makes g(x) continuous.
4. a may be any real number.

Answers, problem 4

4. a may be any real number. This is because the graph of ax² increases upwards or downwards from the origin depending on the sign of a, but there is no break between g(x) = 0 and g(x) = x².

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