Question

Evaluate r(x)=2x −1 over the domain {0,1,2,3}. What is the range of r(x)? Separate values with a comma.

Answer 1

Answer:

The range of r(x) is $\{-1,1,3,5\}$.

Step-by-step explanation:

The range of a function is the set of images associated with a given domains. As domain is a discrete set, the range can be determined by evaluating the function at each element in domain:

x = 0

$r(0) = 2\cdot (0)-1$

$r(0) = -1$

x = 1

$r(1) = 2\cdot (1) - 1$

$r(1) = 1$

x = 2

$r(2) = 2\cdot (2) -1$

$r(2) = 3$

x = 3

$r(3) = 2\cdot (3) -1$

$r(3) = 5$

The range of r(x) is $\{-1,1,3,5\}$.