Question

Match each given domain of the function f(x)=x/2.5 with its corresponding range.

{40,45,50,55,60} {52,56,63,67,71} {37,46,49,55,57} {44,51,59,66,73}

Range:
{20.8,22.4,25.2,26.8,28.4}
{16,18,20,22,24}
{17.6,20.4,23.6,26.4,29.2,}
{14.8,18.4,19.6,22,22.8}

Domain:
?
?
?
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Answer 1

Domain: {40,45,50,55,60} => Range: {16,18,20,22,24}

Domain: {16,18,20,22,24} => Range: {20.8, 22.4, 25.2, 26.8, 28.4}

Domain: {37,46,49,55,57} => Range: {14.8,18.4,19.6,22,22.8}

Domain: {44,51,59,66,73} => Range: {17.6,20.4,23.6,26.4,29.2,}

Explanation:

Given

f(x)= x/2.5

To find the corresponding domain, we will input the domain into the function.

So for first domain,

Domain = {40,45,50,55,60}

The values of range will be

f(40)=40/2.5=16

f(45)=45/2.5=18

f(50)=50/2.5=20

f(55)=55/2.5=22

f(60)= 60/2.5=24

So the corresponding range for domain { 40, 45, 50, 55, 60} is {16, 18, 20, 22, 24}

For 2nd domain,

Domain = {52,56,63,67,71}

The values of range will be

f(52)=52/2.5=20.8

f(56)=56/2.5=22.4

f(63)=63/2.5=25.2

f(67)=67/2.5=26.8

f(71)= 71/2.5=28.4

So the corresponding range for domain {52,56,63,67,71} is {20.8, 22.4, 25.2, 26.8, 28.4}

for 3rd domain,

Domain = {37,46,49,55,57}

The values of range will be

f(37)=37/2.5=14.8

f(46)=46/2.5=18.4

f(49)=49/2.5=19.6

f(55)=55/2.5=22

f(57)= 57/2.5=22.8

So the corresponding range for domain {37,46,49,55,57} is {14.8, 18.4, 19.6, 22, 22.8}

For 4th domain

Domain = {44,51,59,66,73}

The values of range will be

f(44)=44/2.5=17.6

f(51)=51/2.5=20.4

f(59)=59/2.5=23.6

f(66)=66/2.5=26.4

f(73)= 73/2.5=29.2

So the corresponding range for domain{44,51,59,66,73} is {17.6, 20.4, 23.6,26.4,29.2} ..