Input-Output Relationships — Test

Question 22 • Mathematics 8

Which relation is a function of x ?

Answer

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 3'; Column 2, 'negative 1' Row 3: Column 1, 'negative 2'; Column 2, '5' Row 4: Column 1, '4'; Column 2, '0' Row 5: Column 1, '7'; Column 2, 'negative 1'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 8'; Column 2, 'negative 9' Row 3: Column 1, 'negative 8'; Column 2, '2' Row 4: Column 1, '1'; Column 2, 'negative 9' Row 5: Column 1, '1'; Column 2, '2'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 5'; Column 2, '1' Row 3: Column 1, 'negative 5'; Column 2, '7' Row 4: Column 1, 'negative 5'; Column 2, 'negative 9' Row 5: Column 1, 'negative 5'; Column 2, '2'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 1'; Column 2, '7' Row 3: Column 1, '2'; Column 2, 'negative 9' Row 4: Column 1, '2'; Column 2, '8' Row 5: Column 1, '3'; Column 2, 'negative 4'

Explanation

A relation is a function of x when every x-value is paired with exactly one y-value. In choice A, the x-values −3, −2, 4, and 7 are all different, so each has one corresponding y-value. In B, C, and D, at least one x-value is paired with more than one y-value, so those relations are not functions.

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