Which set represents the range of the function shown? {(8, 2), (6, 5), (4, 7), (11, −2)} {−2, 2, 5, 7} {4, 6, 8, 11} {(2, 8), (5, 6), (7, 4), (−2, 11)} {−2, 2, 4, 5, 6, 7, 8, 11}

Hence, option A is correct.

i.e. the range is {-2,2,5,7}

Step-by-step explanation:

" The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain "

We are given a information about the function f(x) as:

{(8, 2), (6, 5), (4, 7), (11, −2)}

Where these ordered pair represent the function f(x).

i.e. the set is (x,f(x)).

Now clearly based on the given information we could see that the range of the function f(x) is:

{2,5,7,-2}

the graph on the bottom right

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!