Question

The function f(x) = Three-fourths(10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?

(negative 3, negative StartFraction 3 Over 4,000 EndFraction)
(–2, 75)
(2, negative StartFraction 3 Over 400 StartFraction)
(3, –750)

Answer 1

Reflecting across the x-axis gives g(x) = -f(x). If f(x) = (3/4)·10^(−x), then

f(2) = (3/4)·10^(−2) = 3/400, so g(2) = −3/400.

Thus the correct ordered pair is (2, −3/400).