How do you read the graph of a function?

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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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Anonymous 0 Comments

It’s something you need to practice with, having someone explain it will probably never really get the idea into your head. My best advice would be to find some interesting functions and then create a [function table](https://youtu.be/oK47UCT2dl0) (AKA an input-output table) then fill in the table using some numbers and plot those numbers on the graph. Eventually, after doing many of them, you will see how certain operations shape the graphs. When you work through it, you should do your best to find interesting points, most notably where the function equals 0, but also where the function has its maximum and minimum points, where the direction of the function changes, where the function has undefined values, etc. You should also always try to use different “types” of inputs, such as negative numbers, irrational, fractions, even complex if you really want to get into it.

Here are a few functions you can start with (also, always remember that you can think of “f(x)” as the “y” variable. f(x) goes on the vertical axis and x goes on the hori

f(x)=5x-2

f(x)=x^2 + 7

f(x)=e^(x)

f(x)=3sin(5x – 2) + 4

f(x)=ln(x)

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