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Which of the following situations would give you a system of equations that have at least 2 solutions?
Two lines are parallel and have different y­-intercepts.
Two lines have the same slope and both pass through the origin.
Two lines are perpendicular and have the same y-intercept.
Two lines have negative slopes and different y­-intercepts. 

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5. (3 points) Which of the following statements best describes the relationship between continuity and differentiability for a function? Choose only one, and assume that the functions are defined for all real numbers. (A) A function must be both differentiable and continuous at r = a or neither; you cannot have one without the other. (B) If a function is differentiable at I = a then it must also be continuous at r = a. (C) If a function is continuous at r= a then it must also be differentiable at r=a. (D) There is at least one function that is continuous for some r = a where it is not differentiable, and at least one other function that is differentiable at some r = a where it is not continuous. (E) Two of the above statements mean the same thing, and are both the correct choice.

 

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