Precalculus Textbook 8th Edition Section 2.1 Exercise 78 Solution
Question:
Let f(x) = x2, g(x) = 3x + 2, h(x) = 7x – 3, k(x) = mx + b and l(x) = x3.
(a) Compute the average rate of change of f from x = 1 to x = 3.
(b) Compute the average rate of change of f from x = 2 to x = 5.
(c) Compute the average rate of change of f from x = a to x = c.
(d) Compute the average rate of change of g from x = 1 to x = 3.
(e) Compute the average rate of change of g from x = 1 to x = 4.
(f) Compute the average rate of change of g from x = a to x = c.
(g) Compute the average rate of change of h from x = a to x = c.
(h) Compute the average rate of change of k from x = a to x = c.
(i) Compute the average rate of change of l from x = a to x = c.
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Solution:
(a) The given function is f(x) = x2.
Average Rate of Change from x = 1 to x = 3 is
(b) The given function is f(x) = x2.
Average Rate of Change from x = 2 to x = 5 is
(c) The given function is f(x) = x2.
Average Rate of Change from x = a to x = c is
(d) The given function is g(x) = 3x + 2.
Average Rate of Change from x = 1 to x = 3 is
(e) The given function is g(x) = 3x + 2.
Average Rate of Change from x = 1 to x = 4 is
(f) The given function is g(x) = 3x + 2.
Average Rate of Change from x = a to x = c is
(g) The given function is h(x) = 7x – 3.
Average Rate of Change from x = a to x = c is
(h) The given function is k(x) = mx + b.
Average Rate of Change from x = a to x = c is
(i) The given function is l(x) = x3.
Average Rate of Change from x = a to x = c is
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