Q:

Given the function f(x) = 2x+4, the domain {2, 3, 4}, the range composed of integers between -2 and 20, the image set will be: After performing the calculation, mark the correct alternative: ( A) {1, 2, 3} (B) {8, 10, 12} (C) {10, 11, 12} (D) {4, 5, 8}

Accepted Solution

A:
To find the image set of the function f(x) = 2x + 4 for the given domain {2, 3, 4}, we need to substitute each value from the domain into the function and determine the corresponding output values. Let's calculate the image set for each value in the domain: For x = 2: f(2) = 2(2) + 4 = 8 For x = 3: f(3) = 2(3) + 4 = 10 For x = 4: f(4) = 2(4) + 4 = 12 Now, we need to check which of these values fall within the given range of integers between -2 and 20. The image set that satisfies this condition is: {8, 10, 12} Therefore, the correct alternative is (B) {8, 10, 12}.