Which statements are true of the function f(x) = 3(2.5)x? The function is exponential. The initial value of the function is 2.5. The function increases by a factor of 2.5 for each unit increase in x. The domain of the function is all real numbers. The range of the function is all real numbers greater than 3.

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Determine which statements are true of the function f(x) = 3(2.5)^x

Explanation:

Among the given choices, the statement that is true about the exponential function is “ The function increases by a factor of 2.5  for each unit increase in x” This can be proven that whatever the value of x is substituted, the value of the given function will increase with a value that is a factor of 2.5 since the exponent has a base of 2.5.

Final answer:

The function increases by a factor of 2.5 for each unit increase in x.