Relating the Graph of f, f' and f''

Which one of the following statements is always true?

• When a graph is increasing, its derivative is negative.

• When a graph is decreasing, so is its derivative.

• When a graph is decreasing, its derivative is negative.

• When a graph is increasing, so is its derivative.

Which of the following graphs appears to show the derivative of the piecewise defined function here?

• 
• 
• 
• 

Which graph best represents the derivative of this function?

• 
• 
• 
• 
• 

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

Which graph is the derivative of this graph?

• 
• 
• 
• 

The green graph is the derivative of the blue graph. Which is the correct blue graph?

• 
• 
• 
• 
• 

Which statement about the graph is true?

• The purple graph is the derivative of the orange graph.

• The orange graph is the derivative of the purple graph.

• Neither graph is the derivative of the other.

Select the correct derivative graph for this function.

• 
• 
• 
• 
• 

Which statement is true about this colorful graph?

• The purple graph is the derivative of the green graph.

• The purple graph is the derivative of the orange graph.

• The orange graph is the derivative of the purple graph.

• The green graph is the derivative of the purple graph.

• The orange graph is the derivative of the green graph.

Select the correct derivative graph for this function.

• 
• 
• 
•