Question

What is the range of the function f(x)=3ˣ +2 when the domain is {-2, 0, 3}?

a. {2.11, 5, 11}
b. {-4, 3, 29}
c. {2.11, 3, 29}
d. all real numbers

Answer 1

The range of the function f(x)=3ʸ +2 for the domain {-2, 0, 3} is {2.11, 3, 29}, calculated by substituting the domain values into the function to get the corresponding range values.

Step-by-step explanation:

The range of the function f(x)=3ʸ +2 when the domain is {-2, 0, 3} can be found by calculating the function values for each x in the domain. Here's how you do it step by step:

1. Substitute x = -2 into the function: f(-2) = 3⁻² + 2 = 1/9 + 2 ≈ 2.11.
2. Substitute x = 0 into the function: f(0) = 3⁰ + 2 = 1 + 2 = 3.
3. Substitute x = 3 into the function: f(3) = 3³ + 2 = 27 + 2 = 29.

Therefore, the range of the function for the given domain is {2.11, 3, 29}, which corresponds to option c.