Find the function rule
x -2 -1 0 1 2
y 9 4 -1 -6 -11
I don't know how to do this and my lesson was no help, does anyone know any sites that may help me understand how to do this?
notice for each increase in x of one, y goes down by 5, so it is a linear equation.
general form: y=mx+b
using two data points (-2,9; 2, -11)
9=-2m+b
-11=2m+b
add the equations
-2=2b or b=-1
with b=-1, then
9=m(-2)-1
m=-5
y=-5x-1 should do it.
Thank you
To find the function rule that relates the variables x and y, we need to look for a pattern in the given data.
Looking at the values of x and y, we can observe that when x increases by 1, y decreases by 5.
From the given data, we can see that when x is -2, y is 9. So, the initial value, or the y-intercept, is 9.
Since y decreases by 5 for every increase of 1 in x, we can determine that the slope of the function is -5.
Using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept, we can write the function rule as:
y = -5x + 9
To check if this function rule holds true for the other values of x, we can substitute them in and see if the corresponding y-values match.
Now, to find more resources to understand this better, you can try using online tutorial websites or video platforms like Khan Academy, Coursera, or YouTube. These platforms offer a wide range of educational videos and tutorials on various topics, including finding function rules. Simply search for "finding function rules" or "linear functions" on these platforms, and you should find helpful resources that can provide a more detailed explanation and examples to improve your understanding.