Question

what is the graph of y=f(x)​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

I find it helps sometimes to think of a function as a machine, one where you give a number as input to the machine and receive a number as the output. The name of the function is f, the input is x and the output is f(x), read "f of x". The output f(x) is sometimes given an additional name y by y=f(x).

The example that comes to mind is the square root function on your calculator. The name of the function is √ and we usually write the function as f(x)=x√. On my calculator I input x for example by pressing 2 then 5. Then I invoke the function by pressing the √ button I and receive 5 on the calculator display. Thus 25−−√=5.

Let me look at another example, y=f(x)=x2−4. In this example I am describing the function f by the way it operates. By f(x)=x2−4 I am telling you that if you input a number x to this function then the function squares x, subtracts 4 and returns the result. Thus for example if x=3 then y=f(3)=32−4=9−4=5. To graph this function I would start by choosing some values of x and since I get to choose I would select values that make the arithmetic easy. For example x=0,x=1,x=−1 and so on. I am going to keep track of what I am doing by using a table.

Add a few more rows to the table choosing your own values of x. Plot the values in your table (0,−4),(1,−3) etc.