Your friend needs to graph the piecewise function below but does not remember all the steps he/she needs to do. here is what you friend has come up with. double check the work and correct any mistakes you find, then explain why. your friend has the following completed for her to graph the piecewise function: f(x) = 3x – 5 if x < -1 start with a filled in circle on (-1, -8). use the slope to go up 3 and right 1 to make another point and drawn the line only going down. f(x) = -2x + 3 if -1 < x < 4 put an open circle on (-1,5) and open circle on (4, -5). connect those points. f(x) = 2 if x > 4 put an open in circle on (4,2) then draw a horizontal line to the right.

PART 1):

f(x) = 3x – 5 if x < -1

Start with a filled in circle on (-1, -8). Use the slope to go up 3 and right 1 to make another point and drawn the line only going down.

WRONG.

Because correct inequality is x≤-1 not x<-1. Hence we will put a close circle not an open circle. at (-1,-8).

Also since slope is positive so graph will go upward not downward.

PART 2):

f(x) = -2x + 3 if -1 < x < 4

Put an open circle on (-1,5) and open circle on (4, -5). Connect those points.

Correct

Because correct inequality is < or > so both end points will be open circles.

PART 3):

f(x) = 2 if x > 4

Put an open in circle on (4,2) then draw a horizontal line to the right.

 WRONG.

Because correct inequality is x≥4 not x>4. Hence we will put a close circle not an open circle. at (4,2).

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !