Analyzing Tables — Quiz

Question 4 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which table shows a function that is increasing only over the interval negative 2 comma 1 , and nowhere else?

Answer

Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 3'; Column 2, '5' Row 3: Column 1, 'negative 2'; Column 2, '7' Row 4: Column 1, 'negative 1'; Column 2, '1' Row 5: Column 1, '0'; Column 2, '0' Row 6: Column 1, '1'; Column 2, 'negative 4' Row 7: Column 1, '2'; Column 2, 'negative 2'

Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 3'; Column 2, 'negative 6' Row 3: Column 1, 'negative 2'; Column 2, 'negative 3' Row 4: Column 1, 'negative 1'; Column 2, 'negative 1' Row 5: Column 1, '0'; Column 2, '1' Row 6: Column 1, '1'; Column 2, '3' Row 7: Column 1, '2'; Column 2, '6'

Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 3'; Column 2, 'negative 2' Row 3: Column 1, 'negative 2'; Column 2, 'negative 4' Row 4: Column 1, 'negative 1'; Column 2, 'negative 1' Row 5: Column 1, '0'; Column 2, '1' Row 6: Column 1, '1'; Column 2, '4' Row 7: Column 1, '2'; Column 2, '3'

Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 3'; Column 2, 'negative 3' Row 3: Column 1, 'negative 2'; Column 2, 'negative 5' Row 4: Column 1, 'negative 1'; Column 2, 'negative 7' Row 5: Column 1, '0'; Column 2, 'negative 6' Row 6: Column 1, '1'; Column 2, '1' Row 7: Column 1, '2'; Column 2, 'negative 1'

Explanation

In choice C, the function decreases from x = -3 to x = -2, rising from -2 to -1 to 0 to 1, then decreasing from x = 1 to x = 2. Thus it is increasing only on the interval from -2 to 1. The other tables either increase outside that interval or fail to increase throughout it.

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