Does this graph show a function? explain how you know

c

step-by-step explanation:

the graph can only show a function if it has 1 y-value (output) for every x-value (input). they have to pass the vertical line test (if the vertical line touches two spots on the graph's line, it is not a function). since the x values on the graph have a positive and negative y-value, if you pass a vertical line through the graph it will touch 2 points. therefore, the graph does not show a function because the graph fails the vertical line test.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: