How many one-to-one functions are there from a set with two elements to a set with four elements?

  12

Step-by-step explanation:

There are 4×3 = 12 ways that two of the four elements can be mapped to the two elements of the smaller set. Here's a list of the 12 possible functions:

  {(a, 1), (b, 2}}, {(a, 2), (b, 1)}, {(a, 1), (b, 3)}, {(a, 3), (b, 1)},

  {(a, 1), (b, 4)}, {(a, 4), (b, 1)}, {(a, 2), (b, 3)}, {(a, 3), (b, 2)},

  {(a, 2), (b, 4)}, {(a, 4}, (b, 2)}, {(a, 3), (b, 4)}, {(a, 4), (b, 3)}

right

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic