Transition to advanced mathematics (8th edition)
3.1
9. give the digraphs for these relations on the set { 1, 2, 3}
b) s = { (1, 3), (2, 1) }
d) s^-1, where s = { (1, 3), (2, 1) }
f) s (dot) s, where s = { (1, 3), (2, 1) }

your answer is the last one

step-by-step explanation:

divide the length of a'c' by the length of ac to get a scale factor of two

& then reflect vertically (over the y-axis)

so your answer is dilation by a scale factor of 2 followed by reflection over the y-axis

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: