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1. given the function f(x)=3x-8, evaluate and simplify the expressions below which will lead to the difference quotient

f(a)f(a+h)

f(a+h)−f(a) / h

2. Given the function f ( x ) = 8x^2 − 8x − 4 , find and simplify the difference quotient.

3. given the function f(x)=-5-9x^2, find and simplify the difference quotient

4. Given the function f(x)=7+3x−3x^2, find and simplify the difference quotient

5. Given that s ( t ) = 12t − t^2 is a a position function where s ( t ) is measured in millimeters and t is time in seconds, find the average velocity (average rate of change) for s ( t ) between t = 1 and t = 3 seconds.

September 26, 2023

September 26, 2023