Question

The function f (2)

- 2x + 3 has a domain of {-2, -1, 0, 1}. Find the range.
{-1, 1, 3, 1}
{1,3,5,7)
{-1, 1,3)
{7,5, 3, 1}

Answer 1

The range of the function f(x) = -2x + 3 for the domain {-2, -1, 0, 1} is calculated by substituting each value into the function, yielding the range as {7, 5, 3, 1}.

Step-by-step explanation:

The question involves finding the range of a given function with the domain of {-2, -1, 0, 1}. To find the range, we substitute each value of the domain into the function f(x) = -2x + 3 and calculate the corresponding output.

• For x = -2, f(-2) = -2(-2) + 3 = 4 + 3 = 7
• For x = -1, f(-1) = -2(-1) + 3 = 2 + 3 = 5
• For x = 0, f(0) = -2(0) + 3 = 0 + 3 = 3
• For x = 1, f(1) = -2(1) + 3 = -2 + 3 = 1

Therefore, the range of the function for the given domain is {7, 5, 3, 1}.