Question

Which of the following polynomial functions is graphed below?-70-60-3030-1010-10O A. f(x) = (x - 5)(x - 1)?(x - 1)O B. f(x) - (x - 1)(x - 2)(x - 3)C. f(x) - (x + 5)(x + 1)?(x - 1)OD. () - (x + 4)(x - 2) (x+3)

Answer 1

(x+4)(x-2)²(x+3) (option D)

Step-by-step explanation:

To determine which polynomial was graphed, we look at the roots of the function on the graph with the options given.

The roots of the equation are the x values that make the function equal to zero.

On the graph, we check the values of the line that crosses the x axis.

Each box on the x axis represents 2 units

we have x = 2 (towards the right of the x-axis).

Note that two lines touched x = 2. This means x =2 appeared twice

we also have x = -4 (towards the left x axis)

Then we have value of x that is before the x = -4. Checking the options, the value of x will be equal to -3

Now we rewrite:

x = 2, x = 2, x = -4, x = -3

x-2 = 0, x-2 = 0, x + 4 = 0, x+3 = 0

The roots of the function:

(x-2)²(x+4)(x+3)

Hence, the polynomial functions graphed below is (x+4)(x-2)²(x+3) (option D)