Question

Q1: What are rational exponents, and how are they related to integer exponents? Q2: How can the average rate of change be identified for a function? Q3: How do linear and exponential functions compare as the domain increases?

Answer 1

1)The use of rational numbers as exponents. A rational exponent represents both an integer exponent and an nth root.
2) The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
3) Linear functions are straight lines while exponential functions are curved lines. ... If the same number is being added to y, then the function has a constant change and is linear. If the y value is increasing or decreasing by a certain percent, then the function is exponential.



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