# Consider the function #y=-x^2+4#. What is the average rate of change from #[1, 5]#?

##### 1 Answer

Mar 3, 2017

#### Explanation:

The average rate of change of a continuous function,

# bar f(x) =(f(b)-f(a))/(b-a) #

So the average rate of change of the function

# Aroc = ( f(5)-f(1) ) / ( 5-1 )#

# " " = ( ( -25+4) - (-1+4) ) / 4#

# " " = ( ( -21) - (3) ) / 4#

# " " = -24/4#

# " " = -6#