Practice Test

Question 6 • Algebra II

Which relation represents a one-to-one function?

Answer

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '7 point 2 5'; Column 2, '11' Row 3: Column 1, '7 point 5'; Column 2, '13' Row 4: Column 1, '7 point 7 5'; Column 2, '15' Row 5: Column 1, '8'; Column 2, '13' Row 6: Column 1, '8 point 5'; Column 2, '11'

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '5'; Column 2, '26' Row 3: Column 1, '14'; Column 2, '197' Row 4: Column 1, '7'; Column 2, '50' Row 5: Column 1, '13'; Column 2, '170' Row 6: Column 1, '12'; Column 2, '197'

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 2'; Column 2, '5' Row 3: Column 1, 'negative 1'; Column 2, '2' Row 4: Column 1, '0'; Column 2, '1' Row 5: Column 1, '1'; Column 2, '2' Row 6: Column 1, '2'; Column 2, '5'

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '9'; Column 2, '12' Row 3: Column 1, '2'; Column 2, '7' Row 4: Column 1, '4'; Column 2, '9' Row 5: Column 1, '1'; Column 2, '13' Row 6: Column 1, '5'; Column 2, '5'

Explanation

A one-to-one function assigns different outputs to different inputs, so no output value can repeat. In choice D, the inputs 9, 2, 4, 1, and 5 are all distinct, and their outputs 12, 7, 9, 13, and 5 are also all distinct. The other tables each repeat an output value, so they are not one-to-one.

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