Which of the following options results in a graph that shows exponential decay?

f (x) = 0.6 (2) x

f (x) = 3 (0.7) x

f (x) = 0.4 (1.6) x

f (x) = 20 (3) x

Question

Mathematics

Marcel

30 April, 22:11

Which of the following options results in a graph that shows exponential decay?

f (x) = 0.6 (2) x

f (x) = 3 (0.7) x

f (x) = 0.4 (1.6) x

f (x) = 20 (3) x

+3

Answers (2)

Know the Answer?

Nathen Beasley · Answer 1

Answer: f (x) = 3 (0.7) ^x

Because as the exponent (x) of 0.7 grows the result decreases. When x is a big negative number the decay is fast, when the x is a big positive number the decay is low, and the function appraches assymptotically to a constant value. This is the behavior of an exponentially decaying function.

Thelma · Answer 2

Answer = f (x) = 3 (0.7) ^x

Answer is B

Which of the following options results in a graph that shows exponential decay?f (x) = 0.6 (2) xf (x) = 3 (0.7) xf (x) = 0.4 (1.6) xf (x) = 20 (3) x

Which of the following options results in a graph that shows exponential decay?

f (x) = 0.6 (2) x

f (x) = 3 (0.7) x

f (x) = 0.4 (1.6) x

f (x) = 20 (3) x