rate of change and limits

Average rate of change

• Average speed
• Slope
• Change in y over change in x
• f(a+h) - f(a) / h 

instantantenous rate of change

• f(a+h) - f(a) / h
• h the elapsed time and a very small number close to 0
• We can't calculate right at h=0 but we can calculate close to it
• Limits 

limits

• The y-value that the function gets close to as x 
• gets closer and closer to c on both sides 
• The function's value needs NOT exist 
• Properties of limits