Which set of ordered pairs represents y as a function of x?
A is not a function because input 6 has two different outputs C is not a function because it is not ordered pairs. D is not a function because input -9 has two different outputs. That leaves B which obeys the function rule of having at most one output for each input.
Which set of ordered pairs in the form of (x, y) does not represent a function of x?
a. {(1, 1.5), (2, 1.5), (3, 1.5), (4, 1.5)} b. {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)} c. {(1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5)} d. {(1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)} And 1. What is f(-3) if f(x) = |2x - 1| -5? a. 2 b. -12 c. 0 d. -10
Which ordered pair represents the center of the ellipse? (x-3)^2/16 + (y+5)^2/9 = 1?
The center is given by (h, k) in the form .. ((x-h)/a)^2 + ((y-k)/b)^2 = 1 You have .. ((x-3)/4)^2 + ((y-(-5))/3)^2 = 1 (h, k) = (3, -5)
The ordered pairs below represent a relation between x and y (-3,0) (-2,4) (-1,8) (0,12) (1,16) (2,20) could this set of ordered pairs have been generated by a linear function?
Precalculus A no, because the distance between consecutive y-values is different than the distance between consecutive x-values B yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x,y) values you use to calculate it. C yes, because the distance between consecutive x-values is constant D no, because the y-values decrease and then increase.
Pre-Calculus Help?!!? 1. The ordered pairs below represent a relation between x and y. (-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12)?
1. The ordered pairs below represent a relation between x and y. (-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12) Could this set of ordered pairs have been generated by a linear function? Yes, because the distance between consecutive x-values is constant No, because the distance between consecutive y-values is different than the distance between consecutive x-values Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it No, because the y-values decrease and then increase
What is the function rule for these set of pairs?
You have noticed an I m p o r t a n t feature of a linear function: a constant change from one data point to the next! In this one, it is 25. That constantly changing increase represents the s l o p e (m) of a linear function. So we can write f(x) = 25x + b, where "b" represents the y-intercept of the graph of this linear function. To determine the value of "b", we simply need to utilize the coordinates of any point in the given set, say .... (1, 65) So 65 = 25(1) + b Solving for "b", we get b = 40 .: f(x) = 25x + 40 is the required function rule. Hope this helps! Cheers! :) .