AnswersPrecalculusComparing a Function and Its Inverse — QuizQuestion 13
13
QuizMultiple Choice

Comparing a Function and Its Inverse — Quiz

Question 13 • Precalculus

Which tables could be used to verify that the functions they represent are inverses of each other? Choose two correct answers.

Answer
A
Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 120'; Column 3, 'negative 110'; Column 4, 'negative 100'; Column 5, 'negative 95'; Column 6, 'negative 90' Row 2: Column 1, 'y'; Column 2, '2'; Column 3, '27'; Column 4, '27'; Column 5, '227'; Column 6, '627'
B
Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 120'; Column 3, 'negative 110'; Column 4, 'negative 100'; Column 5, 'negative 95'; Column 6, 'negative 90' Row 2: Column 1, 'y'; Column 2, '627'; Column 3, '227'; Column 4, '27'; Column 5, '2'; Column 6, '27'
C
Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 120'; Column 3, 'negative 110'; Column 4, 'negative 100'; Column 5, 'negative 95'; Column 6, 'negative 90' Row 2: Column 1, 'y'; Column 2, '27'; Column 3, '2'; Column 4, '27'; Column 5, '227'; Column 6, '627'
D
Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, '627'; Column 3, '227'; Column 4, '27'; Column 5, '2'; Column 6, '27' Row 2: Column 1, 'y'; Column 2, 'negative 120'; Column 3, 'negative 110'; Column 4, 'negative 100'; Column 5, 'negative 95'; Column 6, 'negative 90'
E
Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, '627'; Column 3, '227'; Column 4, '27'; Column 5, '2'; Column 6, '27' Row 2: Column 1, 'y'; Column 2, 'negative 90'; Column 3, 'negative 110'; Column 4, 'negative 100'; Column 5, 'negative 110'; Column 6, 'negative 120'

Explanation

Inverse functions swap the x- and y-values in each ordered pair. In table B, for example, the pairs include (−120, 627) and (−110, 227); table D contains the reversed pairs (627, −120) and (227, −110), and the remaining pairs reverse as well. Therefore, tables B and D represent inverse functions.

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