If the linear function y=-2x+10 has a domain given by [1,4] then which of the followig is its range

[2,8]

Step-by-step explanation:

Well since it's a linear function it's ends will be the extrema, so plugging the domain restrictions that you are given:

y=-2(1)+10

y=-2+10

y=8

and

y=-2(4)+10

y=-8+10

y=2

so since 2 is lower than 8, its the lower range bound, and since both the 1 and the 4 are included in the domain it will be a closed interval:

[2,8]

2 is the final ! : )

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.