Evaluating a Function In Exercises 29-34, evaluate the difference quotient and simplify the result. See Example 4. g ( x ) = x + 1 g ( 4 + Δ x ) − g ( 4 ) Δ x
Evaluating a Function In Exercises 29-34, evaluate the difference quotient and simplify the result. See Example 4. g ( x ) = x + 1 g ( 4 + Δ x ) − g ( 4 ) Δ x
Solution Summary: The author explains how to calculate the value of the expression g(4+Delta x) and the function.
2. Summarize what you have learned about functions. Can all relationships between
variables qualify as functions? How can you represent and describe functions? How are
functions useful in the real world?
A video game tournament begins with 243 competitors. After each round, one-third of the competitors remain. Write the function that models the change between the number of rounds, x, and the number of competitors remaining, r(x).
Possible answers:
r(x)=243*(1/3)x
r(x)=3*(1/243)x
r(x) = 243 · 3x
r(x) = 3 · 243x
Personal Expenditures Personal consumption expenditures for durable goods in the United States, inbillions of dollars, can be modeled by the functionP(x) = 306.472x0.464, where x is the number ofyears after 1990. Rewrite the function with x equal tothe number of years after 1995. (Hint: Shift the x-valueby the difference in years.)
Chapter 1 Solutions
Calculus: An Applied Approach (Providence College: MTH 109)
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