PLEASE HELP ASAP!!!!!
i don't know!
Explain how to write a function rule from the table below. Then write a function rule.
x: 2 4 6
y: 1 0 –1
i know its so simple but im having so much trouble!!!:(
pls help!
well, try a parabola since we have three points
y = a x^2 + b x + c
1 = a (4) + b (2) + c
0 = a (16 ) + b(4) + c
-1 = a(36) + b(6) + c
subtract second from first
1 = -12 a -2 b
subtract third from second
1 = -20 a -2 b
subtract
0 = 8 a
a = 0, this is a straight line
1 = -2 b
b = -1/2
-1 = 6 b + c
-1 = -3 + c
c = 2
so in the end
y = -(1/2) x + 2
Of course if we had sketched a graph, we would have seen a straight line and not have bothered with the parabola :)
i got what you had
thank you Damon!:)
You are welcome :)
evaluate 86.5-13.5
Thank you Damon AGAIN! You're a LEGEND.
I understand that you're having trouble with writing a function rule from a table. Don't worry, I'm here to help!
To write a function rule from a table, you need to find a relationship between the x-values and the corresponding y-values.
Looking at the table you provided:
x: 2 4 6
y: 1 0 -1
Let's observe the pattern here. Notice that as x increases by 2 each time, y decreases by 1 each time.
To write a function rule, we need to express the relationship between x and y using an equation. We can use the concept of slope for this.
The slope of a line is given by the change in y divided by the change in x. In this case, the change in x is always 2, and the change in y is always -1.
So the slope between any two points in this table is -1/2.
Now, let's use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Using the slope-intercept form and the values we've determined, we can write the function rule:
y = -1/2x + b
To find the value of b, we can substitute the x and y values from one of the points in the table. Let's use the point (2, 1):
1 = -1/2(2) + b
Now, solve for b:
1 = -1 + b
1 + 1 = b
b = 2
So, the final function rule is:
y = -1/2x + 2
I hope this explanation helps you understand how to write a function rule from a table! Let me know if you have any further questions.