A function g(x)=5+12x. Determine the average rate of change of the function between x=1 and x=5.
average rate of change =g(b)−g(a)b−aModelaverage rate of change =g(5)−g(1)5−1Substitute a=1 and b=5average rate of change =5+12(5)−[5+12(1)]4Simplifyaverage rate of change =5+52−5−124Combine like termsaverage rate of change =424Simplifyaverage rate of change =24Reduce to lowest termaverage rate of change =12Answer
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