Suppose f(x) = abx is an exponential growth function. which function, then, represents exponential decay?
a) f(x) = abx
b) f(x) = abx - 4
c) f(x) = a(b-1)x
d) f(x) = a( 1 b )x

The answer is (D)

Step-by-step explanation: We are given four exponential functions, out of which we are to select the one that represents exponential decay.

Given that the following function is an exponential growth function.

We take the values of a and b as 2 and 3 respectively so that the given function represents exponential growth.

We have drawn the graphs of all the four exponential functions taking these values of 'a' and 'b' in the attached figure.

We will see the the graph of the fourth function will show an exponential decay.

and the rest three will show exponential growth.

Thus, (D) is the correct option.

109 trust me

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: