The table represents a logarithmic function f(x). Use the description and table to graph the function, and determine the domain

Question

2 years ago

8

and range of f(x). Represent the domain and range with inequality notation, interval notation, or set-builder notation. Explain your reasoning

1 answer:

dusya [7] · Answer 1 · 2023-03-20T18:51:53+03:00

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

This is the set of input values on the table.

All input values (i.e. the x values) on the table are greater than 0 i.e. x > 0

Using the inequality notation, the domain of the table is x > 0

<h3>How to determine the range?</h3>

From the table, the logarithmic function outputs all zero, positive and negative numbers.

This means that the range is the set of all real numbers i.e. -∞ to ∞

Using the inequality notation, the range of the table is -∞ < f(x) < ∞

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