Question

Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.

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.  

Answer 1

For this case we have a function of the form:
 $y = A * (b) ^ x$
 Where,
 A: initial amount
 b: growth rate (for b> 1)
 x: independent variable
 y: dependent variable
 We then have the following function:
 $f (x) = 3 (2.5) ^ x$
 Using the definition, the following statements are correct:
 1) The function is exponential
 2) The function increases by a factor of 2.5 for each unit increase in x
 3) The domain of the function is all real numbers

Answer 2

Answer:

Step-by-step explanation: