I need some help on this function rule question please.
8.) Find the function rule.
x: -2 -1 0 1 2
y: 9 4 -1 -6 -11
I'm having a really hard time figuring this out. Thanks to anyone that helps:)
The function rules is:
y = -5x - 1
9 = -5(-2) - 1
4 = -5(-1) - 1
-1 = -5(0) - 1
-6 = -5(1) - 1
-11 = -5(2) - 1
Note that y decreases by 5 when x increases by 1. So, start with
y = -5x
Now note that y(0) = -1, so you need to adjust the function a bit:
y = -5x-1
Anyone know how to help?
Is this the right answer
To find the function rule, we need to determine the relationship between the values of x and y. Let's look for a pattern.
If we examine the given values of x and their corresponding values of y, we can observe the following pattern:
From x = -2 to x = -1, y decreases by 5.
From x = -1 to x = 0, y decreases by 5.
From x = 0 to x = 1, y decreases by 5.
From x = 1 to x = 2, y decreases by 5.
Based on this pattern, we can conclude that y decreases by 5 as x increases by 1. Therefore, the function rule can be expressed as:
y = -5x + b
Now, we need to find the value of b, which represents the y-intercept. To do this, we can substitute the values of x and y from one of the given points into the function rule.
Let's choose the point (0, -1):
-1 = -5(0) + b
-1 = 0 + b
b = -1
Therefore, the function rule for this pattern is:
y = -5x - 1
So, for any given value of x, you can use this rule to find the corresponding value of y.