Question

PLEASSEEEE Your friend needs to graph the piecewise function below but does not remember all the steps he/she needs to do. Please fill in the missing information to help your friend correctly graph the piecewise functionYour 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.

Answer 1

Statement 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.

Answer:

inequality should be x<=-1 not x<-1 as per given equation.

Explanation is correct for this part.

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Statement 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.

Answer:

correct as you can find those points by plugging x=-1 and x=4 into f(x)=-2x+3

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Statement 3:

f(x) = 2 if x > 4

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

Answer:

correct inequality is x>=4 so we put a filled circle not open circle at (4,2).