Graphing Logarithmic Functions

Question 1

a translation 3 units right and 2 units upa translation 3 units left and 2 units upa translation 3 units up and 2 units righta translation 3 units up and 2 units left

Revolt · Accepted Answer

a translation 3 units left and 2 units up

Question 2

(5, 1)(5, 5)(11, 1)(11, 5)

Revolt · Accepted Answer

(5, 5)

Question 3

✔ x > –3x > –2x > 2x > 3

Revolt · Accepted Answer

✔ x > –3

Question 4

The graph shows a logarithmic function f. What do f and the function g(x) = log6x have in common? Select all that apply.

Revolt · Accepted Answer

Both graphs increase on their domain.; The graphs of both functions have the same x-intercept.; Neither graph has a y-intercept.

Question 5

What are the domain and range of the logarithmic function f(x) = log7x? Use the inverse function to justify your answers.

Revolt · Accepted Answer

The logarithmic function f(x) = log7(x) has a domain of x > 0 and a range of all real numbers. This can be justified by its inverse function, g(x) = 7^x. The domain of an exponential function like 7^x is all real numbers, and its range is y > 0. Since 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) is x > 0 and the range of f(x) is all real numbers.

Question 6

Which table represents the graph of a logarithmic function with both an x-and y-intercept?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-10-03-20-09-task/mc001-2.jpg

Question 7

Check each item below that you included in your response.

Revolt · Accepted Answer

The domain of f is x > 0.; The range of f is all real numbers.; The domain of the inverse function is all real numbers.; The range of the inverse function is y > 0.; The domain of f is the same as the range of the inverse function.; The range of f is the same as the domain of the inverse function.

Graphing Logarithmic Functions Answers

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