Which piecewise function is shown in the graph? o fc = {2x - 2 -0.5 x + 1, x < 0 Ax) , x > 0

O fx) = { -x + 1, (osz, 5 2 x > 0 ,

O f(x) = { x - 1, Y x < 0 | 2x - 2, x > 0 o Ax) = 120-12

O -0.5x - 1, x < 0 | 2x – ,

the answer is b

step-by-step explanation:

659

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!