I can interpret functions in the formula form but I simply can’t understand how it can become a graph. How would you transform one into the other?
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It can help you visualize the variable y for each input of x.
A function is a y value generating machine, you plop in a value for x and the machine returns a value for y. If you are plotting a simple line, the y values are easy to predict. When you get to functions that have a square or a cube or is an absolute value (whatever), things get a lot more interesting. When we, in match class, say something like “this function is symmetrical about the y axis), what we are saying is that for each negative x value the corresponding positive x value will produce the same y value. So your x value of -2 will produce a y value of 2, x value of 2 will also produce a y value of 2.
The graph of a function helps tell us “what is this function *doing?”* as the x values go from negative infinity to infinity.
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