Question

Create a function rule for the following:

x 0 3 6
f(x) -5 -3 -1

How do I create a function rule? I forgot how to and nowhere online is giving me a good example of how to.

Answer 1

Look at the x values. ...
Next look at the y values. ...
The y values in this table are going up five every time. ...
Go back to the first x. ...
You need to add 3. ...
Once you decide on a rule, make sure it works for the other x values.
The function is y = 5x + 3.


Replace the y with the f
and if this doesn't help try watching this video my dear.

Write a Function Rule: An Application (Algebra I)

just search that um an skip until about 0:30

Answer 2

Your funtion of f(x) = 5x + 3 does not work for a single one of the 3 points.
You have 3 points given:
(0,-5), (3,-3) and (6,-1)
First you have to decide if the function is linear, that is, do the
points lie in a straight line. Let's use slope
slope between first two = (-3+5)/(3-0) = 2/3
slope between last two = (-1+3)/(6-3) = 2/3
Yes, do do form a straight line, and the equation is
f(x) = (2/3)x + b
but we can also see that (0,-5) is the y-intercept

so f(x) = (2/3)x - 5

Answer 3

note that as x goes up by 3, y goes up by 2
That means the slope is 2/3
So, first guess is y = 2/3 x
But, when x=0, y==5, so now we have
y = 2/3 x - 5
or,
2x-3y = 15