Given the exponential function A(x) = P(1 + r)x, what value for r will make the function a decay function?
There is no -2.1
The options are:
r= 2.1
r= -0.1
r= 0
r= 0.1
any value of r such that 0 < 1+r < 1 will work. That is,
-1 < r < 0
In other words, r is negative, but not by much. That is, (1+r) is a positive fraction, so as x increases, the value of A(x) gets smaller and smaller
ITS SO OBVIOS ITS -2.1 BECAUSE THE MATHEMATICAL GANJA EQUATION HELPS. THE BEST ANSWER IS OBV THAT BC 3248.,123
I just took the test. The answer is -2.1
r=-2.1
To determine the value of r that will make the exponential function a decay function, we need to understand the properties of decay functions.
In a decay function, the base of the exponential term should be less than 1, indicating a decrease over time. This means that the value of (1 + r) should be less than 1.
Let's solve the inequality (1 + r) < 1.
1 + r < 1 Subtract 1 from both sides:
r < 1 - 1 = 0
So, for the function A(x) = P(1 + r)x to be a decay function, the value of r must be less than 0.
In conclusion, any value of r less than 0 will make the function a decay function.