Which graph represents the function? f(x)=(x+2)^2 if x< −1 |x|+1     if −1≤x≤1 −√x        if x> 1

option B

Step-by-step explanation:

To get the graph of piecewise function

We make a table for each function

Plug in end points  and make a table

First function f(x) = (x+2)^2 if x<-1

x <-1 so we pick number for x  less than -1. Also we use -1 but we use open circle at x=-1

x         y = (x+2)^2

-3         (-3+2)^2= 1

-2         (-2+2)^2 = 0

-1           (-1+2)^2 = 1

Now plot the table on graph

second function f(x) = |x| + 1 if -1<=x<=1

Make a table, we use -1, 0  and 1 because we have -1<=x<=1 (-1 and 1 are included)

x        y=|x| +1

-1         |1| + 1 = 2

0        |0|+1 = 1

1          |1|+1= 2

Third function    if x>1

We find out y when x=1 and make a open circle at x=1 because we have x>1

x      

1        

4        

Plot all the point on the graph

Correct graph is attached below

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,