Use the graph of the function f shown to the right to answer parts​ (a)-(n). ​(a) Find ​f(negative 28 ​) and ​f(negative 12 ​). f left parenthesis negative 28 right parenthesis equals negative 2 f left parenthesis negative 12 right parenthesis equals 3 ​(b) Find ​f(24 ​) and ​f(0 ​). f left parenthesis 24 right parenthesis equals 2 f left parenthesis 0 right parenthesis equals negative 1 ​(c) Is ​f(8 ​) positive or​ negative? Positive Negative Your answer is correct. ​(d) Is ​f(negative 28 ​) positive or​ negative?

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

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:

step-by-step explanation:

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