ORDERED-PAIR NUMBERS: RULES OF CORRESPONDENCE

Write the equation for the following relation. E = {(x, y ): (2, 15), (5, 30), (8, 45), . . .}

y=5x+5

Write the equation for the following relation. D = {(x, y ): (3, 9), (5, 25), (-2, 4), . . .}

y=x^2

slope

the ratio described by (y_2 - y_1)/(x_2-x_1 ) in a linear function

Write the equation, in standard form, for the following relation. B = {(x, y ): (2, 3), (4, 4), (6, 5), . . .}

-x-2y=-4

The diagonals of a polygon are lines that join any two nonadjacent vertices. The square has two diagonals, the pentagon has five, and the hexagon has nine. The equation for the number of diagonals of any n-sided polygon is n(n-3)/2

True

quadratic function

any function in which the difference between the y -coordinates and the x -coordinates in sequential ordered pairs can be attributed to a power of x and has the form y = ax 2 + bx + c

linear function

any function in which the difference between the y-coordinates and the x-coordinates in sequential ordered pairs is a constant and has the form y = mx + b

A rectangular area of 2,000 square feet is to be fenced on three sides with fence costing $0.30 per foot and on the fourth side with fence costing $0.50 per foot. If x denotes the length of the fourth side and C = ƒ(x ) denotes the corresponding cost of the fence in cents. Give the domain of the function.

x > 0

Given: S = n/2(n + 1). Complete the ordered pair. D = {(n, S ): (0, _ )

0

A rectangular area of 2,000 square feet is to be fenced on three sides with fence costing $0.30 per foot and on the fourth side with fence costing $0.50 per foot. If x denotes the length of the fourth side and C = ƒ(x ) denotes the corresponding cost of the fence in dollars. Express C as a function of x.

0.8x + 1,200/x

If the first element of the following pairs of numbers is a measure of hours and the second element is a measure of distance in miles, write an equation for D. B = {(t, D ): (1, 50), (2, 100), (3, 150), . . .} D =

50t

Write the equation for the following relation. A = {(x, y ): (1, 2), (2, 5), (3, 8), . . .}

y=3x-1

Write the equation for the following relation. C = {(x, y ): (6, 15), (8, 21), (10, 27), . . .}

y=3x-3

Choose an equation for S. C = {(t, S ): (0, 0), (1, 16), (2, 64), (3, 144), . . .}

S = 16t^2