We are to find the graph which best represents the given function:
f (x) = 5 (2)^-x
To be able to solve this, let us write the function of each graph mathematically and select the correct one.
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
