Question

fix the inequality below to correctly show the range of the function.

Explanation:

Step1: Identify the minimum and maximum y - values

The lowest point on the graph has a y - value of \(-1.67814\) (from the point \((-6, - 1.67814)\)) and the highest point in the range has a y - value of \(2\) (from the point \((8,2)\)). Also, we can see that the function's range includes all values from the minimum y - value up to the maximum y - value.

Step2: Write the inequality for the range

The range of a function is the set of all possible output (y) values. So, the range of this function is \(-1.67814\leq y\leq2\) (or we can also write it as \(-\frac{11947}{7120}\leq y\leq2\) if we want to represent \(-1.67814\) as a fraction, but the decimal form is also acceptable here).

Answer:

\(-1.67814\leq y\leq2\)