Graphing Logarithmic Functions Answers
✔ x > –3x > –2x > 2X x > 3
The graph shows a logarithmic function f. What do f and the function g(x) = log6x have in common? Select all that apply.
What are the domain and range of the logarithmic function f(x) = log7x? Use the inverse function to justify your answers.
The inverse of the logarithmic function f(x) = log7(x) is the exponential function g(x) = 7^x. For the exponential function g(x) = 7^x, the domain is all real numbers (-∞, ∞) and the range is all positive real numbers (0, ∞). Because the domain of a function is the range of its inverse, and the range of a function is the domain of its inverse, the domain of f(x) = log7(x) is all positive real numbers (x > 0) and the range is all real numbers (-∞, ∞).
Check each item below that you included in your response.
Which table represents the graph of a logarithmic function with both an x-and y-intercept?
(5, 1)(5, 5)(11, 1)(11, 5)
What is the range of the function?✔ all real numbersy > 0y < 0
Which points lie on the graph of f(x) = log9x? Check all that apply.
(5, 1)(5, 5)(11, 1)(11, 5)
Which points lie on the graph of f(x) = log9x? Check all that apply.
x > –3x > –2x > 2x > 3
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