Question

Evaluate f(x) = 5x + 1 over the domain (0, 1, 2, 3, 4). What is the range of the function over the specified domain? A) Range: {1, 6, 11, 16, 21} B) Range: {0, 5, 10, 15, 20} C) Range: {1, 2, 3, 4, 5} D) Range: {0, 1, 2, 3, 4}

Answer 1

The range of the function f(x) = 5x + 1 over the specified domain {0, 1, 2, 3, 4} is {1, 6, 11, 16, 21}. Therefore, the correct option is A) Range: {1, 6, 11, 16, 21}. The correct option is (A).

Step-by-step explanation:

To solve this problem, we evaluate the function f(x) = 5x + 1 over the specified domain {0, 1, 2, 3, 4}. We plug in these x-values and compute the function to find the range:

• f(0)=5(0)+1=1
• f(1)=5(1)+1=6
• f(2)=5(2)+1=11
• f(3)=5(3)+1=16
• f(4)=5(4)+1=21

So, the range of the function over the specified domain {0, 1, 2, 3, 4} is {1, 6, 11, 16, 21}.

To summarize, for the function f(x) = 5x + 1 and the specified domain {0, 1, 2, 3, 4}, the correct answer is option A) Range: {1, 6, 11, 16, 21}.

Learn more about Range of a Function