Ok so you are correct that x is input and y is output the you could be talking about a function in general or a kind of function normally used called a one-to-one function which I will assume you are talikning about
one-to-one funciton has that for every input, there is only 1 output, ie, x never repeats with a diffent y example (1,2), (2,2) is a function since x didn't repeat (1,2), (1,3) is not since x repeats with a different y
points given are
(-5,1),(-3,-2), (3,0),(1,1),(2,0),(6,4)(8,-2),(8,7) we see that the points (8,-2) and (8,7) make it not a function since it is the same input (8) that gives 2 different outputs
TTese are all parabolas whose axis of symmetry is the y axis. The negative coefficient means they open downwards and the positive mean they open upwards. The higher the absolute value of the coefficient is the greater the slope, so 2x^2 will be steeper than x^2 and -4x^2 will be steeper than - 2x^2.
slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.
Step-by-step explanation:
To know the horizontal change between two points you need to know the two points.
