Combining continuous functions

Exercise and reference answers

Questions

1. Question

   The sum of two continuous functions is

   Choices

   1. discontinuous
   2. continuous
   3. undefined

   Correct choice

   continuous

2. Question

   The quotient of two continuous functions is continuous

   Choices

   1. always
   2. never
   3. wherever the denominator is not zero

   Correct choice

   wherever the denominator is not zero

3. Question

   Differentiating a composite function uses the

   Choices

   1. chain rule
   2. product rule
   3. quotient rule

   Correct choice

   chain rule

4. Question

   Every differentiable function is

   Choices

   1. constant
   2. continuous
   3. increasing

   Correct choice

   continuous

Explanation