Match each function to its domain and range.

Question

Functions:

f(x)=5x-3

f(x)=4-4x

f(x)=3/x+1.5

f(x)=-10x

Domain and Range

domain {0, 1, 3, 5, 6}

range: {-20, -16, -8, 0, 4}

domain: {-2, -1, 0, 3, 4}
range: {-13, -8, -3, 12, 17}

domain: {-4, -2, 0, 2, 4}
range: {-40, -20, 0, 20, 40}

domain: {-3, -2, -1, 2, 6}
range: {0.5, 0, -1.5, 3, 2}

Answer 1

To solve this problem, you'll need to plug the values from each domain into each function to find which function gives you the matching range.

 

 

 

For example, let's try to match the first domain and range pair to a function. The easiest value to work with in the domain is x = 0, so let's plug 0 into each function to see if we get a value in the range:

 

f(0) = 5(0) - 3 = 0 - 3 = -3

f(0) = 4 - 4(0) = 4 - 0 = 4

f(0) = 3/0 + 1.5 = undefined

f(0) = -10(0) = 0

 

The range includes both 4 and 0 but not -3, so the domain and range pair must go with either the second or the fourth function.

 

Let's test another easy value in the domain, x = 1, for the second and fourth functions:

 

f(1) = 4 - 4(1) = 4 - 4 = 0

f(1) = -10(1) = -10

 

Only 0 is included in the range, so the second function, f(x) = 4 - 4x, matches the first domain and range pair. You can test the other values in the domain just to make sure they give you -20, -16, and -8:

 

f(3) = 4 - 4(3) = 4 - 12 = -8

f(5) = 4 - 4(5) = 4 - 20 = -16

f(6) = 4 - 4(6) = 4 - 24 = -20

 

 

 

Match the rest in the same way.