Complete the statements to explain how to factor x2 + x – 12 using algebra tiles. represent the trinomial using 1 positive x2-tile, , and . form a rectangle with the tiles, adding zero pairs as needed. how many zero pairs are needed? drag tiles onto the board to represent each factor. what is the factorization? x2 + x – 12 =

1 positive x-Tile , 12 negative unit tiles , 3, (x-3)(x+4)

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: