if a function has a unique y value for each x value the function is one to one.
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The rule of a function in math is what relates the input value to the output value. For example, if f(x) = x2, the "function rule" is to square the input value to get the output value.
Any equation which maps each value of x in the domain to a value in the range is a function of x.
The Vertical Line Test for Functions: If any vertical line intercepts a graph in more than one point, the graph does not define y as a function of x. By the definition of a function, for each value of x we can have at most one value for y.
The expression "8x for each value of x" means that you are multiplying the value of x by 8. This indicates that for every possible value of x, you will multiply that value by 8. For example, if x is 2, then 8 multiplied by 2 equals 16. This expression represents a linear relationship where the output is 8 times the input value of x.
The Vertical Line Test for Functions: If any vertical line intercepts a graph in more than one point, the graph does not define y as a function of x. By the definition of a function, for each value of x we can have at most one value for y.