Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
Х
f(x) = cos 8 ; g(x) = = COS X
A-vertical shrink by a factor of 1/8
B-horizontal shrink by a factor of 1/8
C-vertical stretch by a factor of 8
D-horizontal stretch by a factor of 8

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:

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.