Question

If a function is defined by the formula y = 1/2x + 3 and its domain is given by the set {-4, 0, 8}, then which of the following sets gives the function's range?

A. {-2, 3, 5}
B. {-1, 2, 4}
C. {1, 3, 7}
D. {5, 3, 7}

Answer 1

The correct answer is option A, {-2, 3, 5}. To find the range of the function, substitute each value from the given domain into the formula for y.

Step-by-step explanation:

The correct answer is option A, {-2, 3, 5}.

To find the range of the function, we need to substitute each value from the given domain into the formula for y.

For x = -4, y = (1/2)(-4) + 3 = -2 + 3 = 1.

For x = 0, y = (1/2)(0) + 3 = 0 + 3 = 3.

For x = 8, y = (1/2)(8) + 3 = 4 + 3 = 7.

Therefore, the range of the function is {-2, 3, 5}.

To determine the range of a function given its domain, we substitute each domain value into the function's formula and calculate the corresponding range values. The function given is y = 1/2x + 3. Applying the domain values:

So the set of y values is {1, 3, 7}, which is not listed in the options provided. There seems to be an error, and the correct set should be {1, 3, 7} instead of the provided options.