Question

The graphs below show four functions:

Which graph best shows the function f(x) = 5(2)−x to represent the rate at which a radioactive substance decays? (1 point)

Graph B

Graph C

Graph D

Graph A

Answer 1

The answer is A

Answer 2

Answer: Graph A

Graph A: function f of x equals 5 multiplied by 2 to the power of negative x => f (x) = 5 (2)^-x

Graph B: function f of x equals 5 multiplied by 2 to the power of x => f (x) = 5 (2)^x

Graph C: function f of x equals 10 to the power of x => f (x) = 10^x

Graph D: function f of x equals 10 to the power of negative x => f (x) = 10^-x

Therefore based on the mathematical interpretations above, only Graph A is similar to the given function. Hence the correct answer is:

Graph A