Colossal canyon was formed in the shape of a parabola. the graph below shows the shape of the canyon. what interval is the function increasing?
a=all real numbers
b=

c=

d=

The function increasing ⇒ 3 ≤ x ≤ 6 answer C

Step-by-step explanation:

∵ The vertex of the parabola is (3 , -6)

∴ The minimum value = -6 at x = 3

∵ The left part of the parabola is decreasing because the value of y decreased from 3 to -6 when 0 ≤ x ≤ 3

∵ The right part of the parabola is increasing because the value of y  increased from -6 to 3 when 3 ≤ x ≤ 6

∴ The function is increasing at interval  3 ≤ x ≤ 6

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: