* = multiplication sign
x = variable
^ = exponent
I: f(x) = 9 * 5^x - 4
II: g(x) = 4x^2 + 3
III: h(x) = 16 * 11^-x+3
IV: m(x) = 6^x+1 -3
Identify the function(s) that represent exponential growth.
A) I only
B) II only
C) I and IV only
D) I, II, and IV only
My answer is C
i think ur answers correct
Thank you so much! It was correct! ♥
To determine which functions represent exponential growth, we need to check the exponent of the variable in each function.
Exponential growth occurs when the exponent of the variable is positive in an exponential function. Specifically, the general form of exponential growth is given by the equation y = a(b^x), where b is greater than 1.
Now, let's analyze each function:
I: f(x) = 9 * 5^x - 4
In function I, the exponent of the variable x is positive, which is represented by 5^x. Therefore, function I does represent exponential growth.
II: g(x) = 4x^2 + 3
In function II, the variable x is squared, but there is no exponent greater than 1. Therefore, function II does not represent exponential growth.
III: h(x) = 16 * 11^-x+3
In function III, the exponent of the variable x is negative, which is represented by 11^-x. Therefore, function III does not represent exponential growth.
IV: m(x) = 6^x+1 - 3
In function IV, the exponent of the variable x is positive, which is represented by 6^x+1. Therefore, function IV does represent exponential growth.
Based on this analysis, the correct answer is C) I and IV only.