If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph? A Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

B Since the function is even, the outputs of a negative y-value and a positive y-value are the same.

C The graph has rotational symmetry, so the point will be reflected across the y-axis.

DThe graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

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:

8/k

step-by-step explanation: