The set of ordered pairs represent a function. Write a rule that represent the function. (0,0), (1,6),(2,24), (3,54),(4,96)
The required function would be f(x) = 6x² which represents the set of ordered pairs.
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
We have been given that function as sets of ordered pairs :
(0,0), (1,6), (2,24), (3,54), (4,96)
First, we must identify a pattern. It appears that all yₓ values are multiples of 6.
We can divide yₓ by 6x since it is a multiple of 6 and a multiple of x:
y₁/ 6×1 = 1
y₂/ 6 ×2 = 2
y₃/ 6 ×3= 3
y₄/6×4 = 4
We can clearly see a pattern here ;
y/ 6×x = x
y = x × x × 6
y = 6x² = f(x)
Therefore, the required function would be f(x) = 6x² which represents the set of ordered pairs.
Learn more about the functions here:
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What is the slope of the function, represented by the table of values below?
X: -2, 0, 3, 5, 8
Y: 13, 5, -7, -15, -27
A. -3
B. -4
C. -8
D. -5
pick any 2 points lets use:
(0,5) and (3,-7)
(y2-y1)/(x2-x1)
slope=(-7-5)/(3-0)=-12/3=-4
Answer is B. -4