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

Explanation:

Answer 2

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