select the correct answer. what are the factors of the function represented by this graph? a. (x - 4) and (x…

select the correct answer. what are the factors of the function represented by this graph? a. (x - 4) and (x - 8) b. (x - 4) and (x + 8) c. (x + 4) and (x - 8) d. (x + 4) and (x + 8)

select the correct answer. what are the factors of the function represented by this graph? a. (x - 4) and (x - 8) b. (x - 4) and (x + 8) c. (x + 4) and (x - 8) d. (x + 4) and (x + 8)

Answer

Explanation:

Step1: Identify x - intercepts

The x - intercepts of the graph are the values of x where the function crosses the x - axis. From the graph, the x - intercepts are x=-4 and x = 8.

Step2: Find the factors

If x=a is an x - intercept of a function, then (x - a) is a factor of the function. For x=-4, the factor is (x+4) (since x-(-4)=x + 4), and for x = 8, the factor is (x - 8).

Answer:

C. (x + 4) and (x - 8)