Graph the relation shown in the table. is the relation a function? why or why not? a; no; a vertical line passes through two graphed points. b; yes; no horizontal line passes through two graphed points. c; no; a horizontal line passes through two graphed points. d; yes; no vertical line passes through two graphed points.

Option D.

Step-by-step explanation:

A relation is a function if there exist a unique output for each input value. In other words a relation is a function if there exist a unique value of y for each value of x.

Vertical line test : According to the vertical line test if the graph of a relation intersect any vertical line at most once, then the relation is a function.

From the given table it clear that the ordered pairs of relation are(-5,-5), (-3,-3), (1,1) and (2,2).

For each value of x, there is a unique value of y. It means no vertical line passes through two graphed points. So, the given relation is a function.

Therefore, the correct option is D.

answer: 1, 3 and 5 are correct

step-by-step explanation:

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!