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Exponential Functions — Test Answers

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The function f of x is defined as f of x is equal to 1 third times 6 to the x th power Which table of values could be used to graph g of x , a reflection of f of x across the x -axis?

A
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, '1 over 108'; Column 3, '12' Row 3: Column 1, 'negative 1'; Column 2, '1 over 18'; Column 3, '2' Row 4: Column 1, '0'; Column 2, '0'; Column 3, '0' Row 5: Column 1, '1'; Column 2, '2'; Column 3, '1 over 18' Row 6: Column 1, '2'; Column 2, '12'; Column 3, '1 over 108'
B
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, '1 over 108'; Column 3, '12' Row 3: Column 1, 'negative 1'; Column 2, '1 over 18'; Column 3, '2' Row 4: Column 1, '0'; Column 2, '1 third'; Column 3, '1 third' Row 5: Column 1, '1'; Column 2, '2'; Column 3, '1 over 18' Row 6: Column 1, '2'; Column 2, '12'; Column 3, '1 over 108'
C
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, '1 over 108'; Column 3, 'negative 1 over 108' Row 3: Column 1, 'negative 1'; Column 2, '1 over 18'; Column 3, 'negative 1 over 18' 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, '12'; Column 3, 'negative 12'
D
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, '1 over 108'; Column 3, 'negative 1 over 108' Row 3: Column 1, 'negative 1'; Column 2, '1 over 18'; Column 3, 'negative 1 over 18' Row 4: Column 1, '0'; Column 2, '1 third'; Column 3, 'negative 1 third' Row 5: Column 1, '1'; Column 2, '2'; Column 3, 'negative 2' Row 6: Column 1, '2'; Column 2, '12'; Column 3, 'negative 12'
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Which is a stretch of an exponential decay function?

A
f of x is equal to 4 fifths times 4 fifths to the x th power
B
f of x is equal to 4 fifths times 5 fourths to the x th power
C
f of x is equal to 5 fourths times 4 fifths to the x th power
D
f of x is equal to 5 fourths times 5 fourths to the x th power
23

Which is the graph of f of x is equal to 4 times 1 half to the x th power ?

A
Image with description On a coordinate plane, an exponential decay function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 2) and goes through (1, 1).
B
Image with description On a coordinate plane, an exponential decay function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4) and goes through (1, 1).
C
Image with description On a coordinate plane, an exponential decay function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 2) and goes through (1, 0.5).
D
Image with description On a coordinate plane, an exponential decay function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4) and goes through (2, 1).
24

Which table shows exponential decay?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '16' Row 3: Column 1, '2'; Column 2, '12' Row 4: Column 1, '3'; Column 2, '9' Row 5: Column 1, '4'; Column 2, '7'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '16' Row 3: Column 1, '2'; Column 2, '8' Row 4: Column 1, '3'; Column 2, '4' Row 5: Column 1, '4'; Column 2, '2'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '16' Row 3: Column 1, '2'; Column 2, '12' Row 4: Column 1, '3'; Column 2, '8' Row 5: Column 1, '4'; Column 2, '4'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '16' Row 3: Column 1, '2'; Column 2, '8' Row 4: Column 1, '3'; Column 2, '3' Row 5: Column 1, '4'; Column 2, '1'
25

Which table represents exponential growth?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '4' Row 4: Column 1, '3'; Column 2, '6' Row 5: Column 1, '4'; Column 2, '8'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '4' Row 4: Column 1, '3'; Column 2, '6' Row 5: Column 1, '4'; Column 2, '10'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '4' Row 4: Column 1, '3'; Column 2, '7' Row 5: Column 1, '4'; Column 2, '11'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '4' Row 4: Column 1, '3'; Column 2, '8' Row 5: Column 1, '4'; Column 2, '16'

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