One factor of the function f(x) = x3 − 7x2 + 14x − 8 is (x − 4). Describe how to find the x-intercepts and the y-intercept of the graph of f(x). Show your work and include all intercepts in your answer.

Step-by-step explanation:

x-4=0

x=4

i solve by synthetic division.

4| 1  -7   14   -8

 |     4  -12    8

 ___________

 | 1  -3    2   | 0

x-intercepts are (4,0),(1,0),(2,0)

put x=0

y=-8

y -intercept is (0,-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:

1010: 3030

is it i think