Determine whether the relation is a function. {( -4, -1), ( -2, 1), ( 4, -8), ( 8, 6)}?
this is a function because for every x there is only 1 y
{(4, 10), (1, 9), (5, 10), (1, 10)} is this relation a function?
JOS J is correct because for functions to work, there can only be one y value per x value aka if you see a set like this: {(4,2), (6,5), (10,1), (3,6), (6,7)} It is not a function because there are two y values (5 and 7) for one x value (6).
Which relation is a function? and please explain why?
both b and d are functions because the domain in the ordered pair (x) is different from the domain in all other ordered pairs. the range (y) can be the same and it still be a function.
Inverse relation function help?
i dont understand this! someone please do these and explain how you do it. State the inverse of each relation. Is the inverse a function? 4. {(8, -5), (-4, -14), (16, 12), (-13, 4), (-17, -2), (3, -13)} A. Inverse={(-8, 5), (4, 14), (-16, -12), (13, -4), (17, 2), (-3, 13)} The inverse is not a function. B. Inverse={(-14, -4), (-13, 3), (4, -13), (12, 16), (-5, 8), (-2, -17)} The inverse is not a function. C.Inverse={(-8, 5), (4, 14), (-16, -12), (13, -4), (17, 2), (-3, 13)} The inverse is a function. D. Inverse={(-14, -4), (-13, 3), (4, -13), (12, 16), (-5, 8), (-2, -17)} The inverse is a function. E. Inverse={(-4, -4), (-13, 3), (4, -13), (14, 16), (5, 8), (-2, -17)} The inverse is a function. F. Inverse={(-4, -4), (-13, 3), (4, -13), (14, 16), (5, 8), (-2, -17)} The inverse is not a function. . 5. {(-14, -9), (-0, 2), (8, -4), (-5, 6), (-7, -4)} A. Inverse={(2, -0), (6, -5), (-4, 8), (-9, -14), (-4, -7)} The inverse is not a function. B. Inverse={(2, -0), (6, -5), (-4, 8), (-9, -14), (-4, -7)} The inverse is a function. C.Inverse={(14, 9), (0, -2), (-8, 4), (5, -6), (7, 4)} The inverse is not a function. D. Inverse={(14, 9), (0, -2), (-8, 4), (5, -6), (7, 4)} The inverse is a function. E. Inverse={(2, 0), (6, 5), (4, 8), (9, 14), (4, 7)} The inverse is not a function. F. Inverse={(2, 0), (6, 5), (4, 8), (9, 14), (4, 7)} The inverse is a function. . 6. {(-15, -1), (0, -1), (-6, -1), (-16, 3)} A. Inverse={(1, 15), (3, 16), (1, 0), (1, 6)} The inverse is a function. B. Inverse={(-1, -15), (3, -16), (-1, 0), (-1, -6)} The inverse is a function. C. Inverse={(15, 1), (-0, 1), (6, 1), (16, -3)} The inverse is not a function. D. Inverse={(15, 1), (-0, 1), (6, 1), (16, -3)} The inverse is a function E. Inverse={(1, 15), (3, 16), (1, 0), (1, 6)} The inverse is not a function. F. Inverse={(-1, -15), (3, -16), (-1, 0), (-1, -6)} The inverse is not a function.
Exponential and quadratic functions: help with basics?
Look at the y values. LINEAR FUNCTION PATTERNS The y-values increase by constant increments. Eg. Your equation is y = 2x - 1. x: 1, 2, 3, 4 y: 1, 3, 5, 7 The y-values are increasing by 2. QUADRATIC FUNCTION PATTERNS The second differences are constant, so the first differences increase by a constant number. In your example, the first differences are constant, as the FD are 3, 1, -1, -3. The second difference of the first differences is -2. Therefore, because the second difference is constant, the function is a quadratic. EXPONENTIAL FUNCTION PATTERNS The y-values are multiplied by a certain number. Eg. Your equation is 2^x. x: 1, 2, 3, 4, 5, 6, 7, 8 y: 1, 2, 4, 8, 16, 32, 64 The next number is the previous multiplied by 2.
The difference between a relation and a function?
Function is a relation, but not all relation is a function. Examples of relations and functions: a) {(1,2),(3,5),(-1,3),(1,5)} b) {(3,4),(0,1),(5,4)} c) {(a,10),(b,11),(c,-5)} d) {(USA, DC), (Japan, Tokyo)} In relations and functions we have "domain" and "range". The domain in (a) is (1,3,-1,1), in (b) it is (3,0,5), in (c) it is (a,b,c), in (d) it is (USA, Japan). The range in (a) is (2,5,3,5), in (b) it is (4,1,4), in (c) it is (10,11,-5), in (d) it is (DC, Japan). Function is a relation where each element in the domain is paired with exactly one element in the range. For example, (a) is not a function because 1 is paired twice: (1,2), (1,5). The other relations (b), (c), (d) are functions. Another example: {(1,5),(3,5),(4,6)} is a function. Note that we don't care about the range. In the relation {(1,5),(3,5),(4,6)}, the element 5 in the range is paired twice (1,5),(3,5), but it is still a function because we only consider the elements of the domain.
Part 1: Create a relation of five ordered pairs that is a function. In complete sentences explain why not?
Well, simply: - Pick five things. I'll pick numbers, say 1, 2, 3, 4 and 5. - Pick another thing that correlate with it, for example I choose 3, 4, 5, 6 and 7. There it is, a function, with ordered pairs {(1, 3), (2, 4), (3, 5), (4, 6), (5, 7)}. The function is "a number that is two more" or in other words (if you know) f(x) = x + 2. It can be other things, like... {(Zebra, 4), (Chicken, 2), (Horse, 4), (Snake, 0), (Giraffe, 4)} is a function that maps an animal with the number of legs it has. In a sentence, "the number of legs an animal has." Hope this helps!
How many functions are there from the set X = {1,2,3,4,5} to the set Y = {a,b, c}? How many are 1-1?
Let |X| = m and |Y| = nNo. of functions f:X->Y is |Y|^|X| = n^m = 3^5 = 243.No. of onto functions is n!*S(m,n) = 3!*S(5,3) = 6*25 = 150where S(m,n) is the stirling no. of the second kind.No. of 1-1 functions is 0 (since m > n)
What is the pattern of sequence 1, 1, 2, 3, 5, 8, 13?
The sequence is ; 1 1 2 3 5 8 13 .... It is because, The pattern used in here is : 0 + 1 = 11 + 1 = 21 + 2 = 3 2 + 3 = 53 + 5 = 85 + 8 = 13...The first no. is added to the second no. and then the sum is written as the third no. Then the sum of second and third no. is written as the fourth no. And the sequence goes on .