Chapter 2 Section 23 Question 006 Write a formula for the fu

Chapter 2, Section 2.3, Question 006 Write a formula for the function below. (20, 28) 28% (4,26) 20(12,22) (28, 12) 12 (12,8) (20,8) 4 8 16 24 32 Click here to enter or edit your answer

Solution

For the first line points are (4,26),(12,22)

dlope=(22-26)/(12-4)=-4/8=-1/2

using point slope form

y-26=(-1/2)(x-4)

y=(-1/2)x +28

so the equation of first line is

y=(-1/2)x +28 , -infinity<x<=12

For the second line y is constant 8 between x=12 and x=20

so the equation is

y=8 , 12<x<=20

for the third line, points are(28,12),(20,28)

slope=(28-12)/(20-28) = 16/-8=-2

using slope point form

y-12=-2(x-28)

y=-2x +68 , 20<x<=28