Practice Test

Question 12 • Algebra 2 with Probability

Which table represents points on the graph of h of x is equal to cube root of negative x plus 2 ?

Answer

Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 6'; Column 3, '1'; Column 4, '2'; Column 5, '3'; Column 6, '10' Row 2: Column 1, 'y'; Column 2, '2'; Column 3, '1'; Column 4, '0'; Column 5, 'negative 1'; Column 6, 'negative 2'

Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 4'; Column 3, 'negative 3'; Column 4, 'negative 2'; Column 5, 'negative 1'; Column 6, '0' Row 2: Column 1, 'y'; Column 2, 'negative 8'; Column 3, 'negative 1'; Column 4, '0'; Column 5, '1'; Column 6, '8'

Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 2'; Column 3, 'negative 1'; Column 4, '0'; Column 5, '1'; Column 6, '2' Row 2: Column 1, 'y'; Column 2, '10'; Column 3, '3'; Column 4, '2'; Column 5, '1'; Column 6, 'negative 6'

Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 8'; Column 3, 'negative 1'; Column 4, '0'; Column 5, '1'; Column 6, '8' Row 2: Column 1, 'y'; Column 2, '4'; Column 3, '3'; Column 4, '2'; Column 5, '1'; Column 6, '0'

Explanation

For h(x) = ∛(-x) + 2, take the cube root of the opposite of each x-value, then add 2. For example, when x = -8, h(-8) = ∛8 + 2 = 4; when x = 8, h(8) = ∛(-8) + 2 = 0. The table with these and the other matching values is choice D.

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