Does the graph represent a function? Why or why not? -10
10
-10
O A. No, because it fails the vertical line test.
O B. Yes, because it passes the horizontal line test
O C. Yes, because it passes the vertical line test.
D. No, because it fails the horizontal line test.

Step-by-step explanation:

There’s another way to find out if a graph represents a function Instead of doing the horizontal line test or doing the vertical line test, you could find each plot on the graph and see if there’s one or multiple x-axis that has more than one output for a example x=5, y=4 and x=5, y=8 is not a function and a other example is x=15, y=6 and x=15, y=8 is not a function for a other example x=16, y=6 and the x-axis equals nothing else than it’s a function.

To put it in a real life scene it’s like if a guy was dating a girl than he gets with a other girl at the same time , then in mathematical terms that would be not a function and if the guy was not dating anybody else except for one girl, then in mathematical terms it would be a function.

I hope this helped because I probably sent a hour on this answer-_-

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

for the points! : )