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}.