Question

Find the range of f(x) = 3x + 2 for the domain = {1, 2, 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

The range is the set of all valid yy values. Use the graph to find the range…

Interval Notation:

(-∞,∞)

Set-Builder Notation:

y

Determine the domain and range…

Domain: (−∞,∞),x∈R

Range: (−∞,∞),y

Answer 2

{ 5, 8, 11 }

Explanation:

the range is the corresponding values of f(x) for the values of x in the domain.

substitute the x- values from the domain into f(x)

f(1) = 3(1) + 2 = 3 + 2 = 5

f(2) = 3(2) + 2 = 6 + 2 = 8

f(3) = 3(3) + 2 = 9 + 2 = 11

range is { 5, 8, 11 }