 # Finding the rule for a linear function when given a table – How to solve math problems

the table represents a function. what is f(5)? –8 –1 1 8 This is a topic that many people are looking for. g4site.com is a channel providing useful information about learning, life, digital marketing and online courses …. it will help you have an overview and solid multi-faceted knowledge . Today, g4site.com would like to introduce to you Finding the rule for a linear function when given a table – How to solve math problems. Following along are instructions in the video below:
Right so given this table of values. What we need to do is we need need to figure out what is gonna be a linear function. So there a couple you need to remember about a function right a function has an input value.
Which is x and then were gonna have an output value so this f of x. That f. Represents.
The name of the function and x. Represents the value of the function at x. So what we did was i said well what about when my input is negative 1 my output on my function was a negative.
7. When i plug in a 0. I now get a 0 as my helpful so i need to think of so what am i doing to my function to get these values.
So the first thing.

I always like to look into is looking at adding and subtracting ok and lets say we have so we have f of x. Equals. X.
And the easiest thing to look at is heres my output right heres the input. So if i was going to say like lets say i plugged in 1 well. I have this then or im sorry if i plugged in like what is my input ok so thats my output value.
But here is the value of the input and now i probably got you to really confuse right this is really what we call just like the function. But its also calling the input particles. But if i plug in 1.
Which is my input. Im going to get out 1 for this function. But if i set like lets say f of x.
Equals.

X. Plus. 2.
And then i plug in a 1. I would get 1 plus. 2.
Which is equal to 3 ok. So thats how you could get something different if i had plugged in a one that i get out of 3. So what were going to do is i always like to look at what am i adding to subtracting first so i looked at this to go from negative.
7 to 2 negative 1 to negative. 7. I would have to subtract 8 and then what i see is this true for the rest of them well 0 8.
Does not give me 0.

And what 8 does not give me 7. So therefore subtracting or adding is not going to work so the next thing what about multiplication. If i multiply a number lets say for instance.
Lets say my new function was 2x well then two times one would still actually give me two in this example. But if i did half times three. Now i have two times three which will leave me six.
So i need to say well how could i can i multiply numbers to my x to give my f of x value of negative seven or to get my f of x value so if i plug in a negative one what do i have to do to get a negative seven. We already ruled out you cant add it subtract so what about multiplying. What do i have to multiply it by negative one to give me negative seven can you say well you can multiply by seven right so we could say f of x.
Is equal to 7 times x or 27 x. So geez. So we know that works for the first equation.
Does that work for the next one.