Question

1. Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f(x) = 3x, where f(x) gives the number of comic strips and x is the number of work hours he puts in, which varies day to day. If he puts in {3, 4, 6, 7, 9} work hours, how many comic strips can he write?

2. If the range of the function f(x)= 5x − 3 is {-13, -8, -3, 12, 17}, what is its domain?

3. The number of hours required to do a painting job is represented by the function f(x)=2x , where f(x) gives the number of hours and x is the number of painters doing the job. How much time will {4, 10, 14, 16, 18} workers take to do the job?

Answer 1

1. f ( x ) = 3 x

He can write { 9, 12, 18, 21, 27 } comic strips.

2. f ( x ) = 5 x - 3

x = -2,

The domain is: { - 2 , - 1 , 0, 3, 4 }

3. f ( x ) = 2 x

It's going to take { 8, 20, 28, 32, 36 } hours.

Answer 2

1 ) f ( x ) = 3 x
He can write { 9, 12, 18, 21, 27 } comic strips.
2 ) f ( x ) = 5 x - 3
- 13 = 5 x - 3
5 x = - 10
x = -2, etc.
The domain is: { - 2 , - 1 , 0, 3, 4 }
3 ) f ( x ) = 2 x
It will take { 8, 20, 28, 32, 36 } hours.