Question

Which set of points includes ALL of the solutions for y= -3/2x+2?

a) (x,y) for all real numbers
b) (x, -3/2x+2) for all real numbers
c) (-2,5), (0,2), and (4,-4)
d) (-4,8), (-2,5), (0,2), (2,-1), and (4,-4)

Answer 1

I believe the answer to this question would be B. Take note that the domain for a linear function is from negative infinity to positive infinity on a closed interval. This means that you can use ANY x value and it will always return a y value. Because there is no given restriction within this function, we can safely say this. The reason why the answer is not A is that while y values themselves are not restricted on a linear function, as their domain extends from negative infinity to positive infinity, the y values are based on whatever x value is inputted into the function. For each input (x value), it will return an output (y value). Following this rule, plugging in any x value into the function will return a specific y coordinate in relation to the x coordinate.