According to the table shown, the function that best represents g (x) is the function g (x) = 2x. This can be shown with the values of the table because if x = -1 then g (-1) = - 2. If x = 0 then g (0) = 0. And if x = 1 then g (1) = 2.
While for f (x) we have:
x f (x)-1 -80 01 8
Then f (x) = 4g (x)
the vertical line test is a graphical way to determine whether or not the graph is a function of x
if you can draw a vertical line on a graph and cross the graph at least 2 times, the graph is not a function
a function will have 1 y value for every x value, therefore, if we can draw a vertical line (x=c, a constant) that intersects the curve at more than 1 point, then that point where it intersects at more than 1 point is where 1 value of x coresponds to more than 1 value of y and is therefore not a function
Answer:
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