6
AssignmentMultiple Select

Exponential Growth Functions

Question 6 • JHS-Algebra 1A (full year)

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
A
The function is exponential.
B
The initial value of the function is 2.5.
C
The function increases by a factor of 2.5 for each unit increase in x.
D
The domain of the function is all real numbers.
E
The range of the function is all real numbers greater than 3.

Explanation

In f(x) = 3(2.5)^x, the variable is in the exponent, so the function is exponential. Its initial value is f(0) = 3(2.5)^0 = 3, and each increase of 1 in x multiplies the output by 2.5. The domain is all real numbers; the range is positive values greater than 0, not values greater than 3.

AI-written and checked against the verified answer.

Previous
Next