Provide a suitable domain and range to complete the definition of each function. Let 𝑓(𝑥) = 2𝑥 + 3.

Answer 1

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(−∞,∞)

Set-Builder Notation:

{x|x∈R}

The range is the set of all valid y values:

Interval Notation:

(−∞,∞)

Set-Builder Notation:

{y|y∈R}

Therefore the domain and range are as follows:

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

Answer 2

D = ℜ

R = ℜ