The Square Root Function — Quiz

Question 5 • Algebra 2 with Probability

Use the graphing calculator to graph the function f of x is equal to square root of x Which table of values contains points that lie on the graph of the function?

Answer

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

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

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 1'; Column 2, '1' Row 3: Column 1, '0'; Column 2, '0' Row 4: Column 1, '1'; Column 2, '1' Row 5: Column 1, '4'; Column 2, '16'

Explanation

For f(x) = √x, negative inputs are undefined in the real numbers, so f(−1) is undefined. The other values are √0 = 0, √1 = 1, and √4 = 2. These points match the table labeled “undefined, 0, 1, 2,” which is choice A.

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