Practice Test

Question 3 • Mathematics I

The function f of x is equal to 8 times 1 fourth to the x th power is reflected across the y -axis to create g of x Which table of values could be used to graph g of x ?

Answer

Table with 3 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x'; Column 3, 'g of x' Row 2: Column 1, 'negative 2'; Column 2, '128'; Column 3, '1 half' Row 3: Column 1, 'negative 1'; Column 2, '32'; Column 3, '2' Row 4: Column 1, '0'; Column 2, '8'; Column 3, '8' Row 5: Column 1, '1'; Column 2, '2'; Column 3, '32' Row 6: Column 1, '2'; Column 2, '1 half'; Column 3, '128'

Table with 3 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x'; Column 3, 'g of x' Row 2: Column 1, 'negative 2'; Column 2, '128'; Column 3, 'negative 128' Row 3: Column 1, 'negative 1'; Column 2, '32'; Column 3, 'negative 32' Row 4: Column 1, '0'; Column 2, '8'; Column 3, 'negative 8' Row 5: Column 1, '1'; Column 2, '2'; Column 3, 'negative 2' Row 6: Column 1, '2'; Column 2, '1 half'; Column 3, 'negative 1 half'

Table with 3 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x'; Column 3, 'g of x' Row 2: Column 1, 'negative 2'; Column 2, '128'; Column 3, 'negative 128' Row 3: Column 1, 'negative 1'; Column 2, '32'; Column 3, 'negative 32' Row 4: Column 1, '0'; Column 2, '0'; Column 3, '0' Row 5: Column 1, '1'; Column 2, '2'; Column 3, 'negative 2' Row 6: Column 1, '2'; Column 2, '1 half'; Column 3, 'negative 1 half'

Table with 3 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x'; Column 3, 'g of x' Row 2: Column 1, 'negative 2'; Column 2, '128'; Column 3, '1 half' Row 3: Column 1, 'negative 1'; Column 2, '32'; Column 3, '2' Row 4: Column 1, '0'; Column 2, '0'; Column 3, '0' Row 5: Column 1, '1'; Column 2, '2'; Column 3, '32' Row 6: Column 1, '2'; Column 2, '1 half'; Column 3, '128'

Explanation

Reflecting a graph across the y-axis replaces x with −x, so g(x) = f(−x). For example, g(−2) = f(2) = 1/2 and g(2) = f(−2) = 128; at x = 0, g(0) = f(0) = 8. These values match the table in choice A.

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