Consider the two functions shown below. A. B.
A)The function in graph A is the derivative of the function in graph B.
B)The function in graph B is the derivative of the function in graph A.
C)Neither function is the derivative of the other.

Question

Consider the two functions shown below. A. B.  
A)The function in graph A is the derivative of the function in graph B. 
B)The function in graph B is the derivative of the function in graph A. 
C)Neither function is the derivative of the other.

Quizplus · Accepted Answer

The graph in A is a straight line, which means it has a constant slope. The graph in B is a quadratic function with a positive leading coefficient, which means its slope is increasing. It is known that the derivative of a straight line is a constant, while the derivative of a quadratic function is a linear function with a slope that increases over time. Therefore, the function in graph A is the derivative of the function in graph B.

Consider the Two Functions Shown Below