Consider the function f(x) = log10 x. (a) What is the domain of f ? (b) Find f −1 . (c) Let x be a real number between 1000 and 10,000. Determine the interval in which f(x) will be found. (d) Determine the interval in which x will be found if f(x) is negative. (e) When f(x) is increased by one unit, x must have been increased by what factor? (f) Find the ratio of x1 to x2 given that f(x1) = 3n and f(x2) = n.
Consider the function f(x) = log10 x. (a) What is the domain of f ? (b) Find f −1 . (c) Let x be a real number between 1000 and 10,000. Determine the interval in which f(x) will be found. (d) Determine the interval in which x will be found if f(x) is negative. (e) When f(x) is increased by one unit, x must have been increased by what factor? (f) Find the ratio of x1 to x2 given that f(x1) = 3n and f(x2) = n.
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 4ECP
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Consider the function f(x) = log10 x. (a) What is the domain of f ? (b) Find f −1 . (c) Let x be a real number between 1000 and 10,000. Determine the interval in which f(x) will be found. (d) Determine the interval in which x will be found if f(x) is negative. (e) When f(x) is increased by one unit, x must have been increased by what factor? (f) Find the ratio of x1 to x2 given that f(x1) = 3n and f(x2) = n.
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