A baseball is hit and its height at different one-second intervals is recorded (See attachment)

is likely a quadratic function.

Based on values in the table, domain of : ; range of : .

Step-by-step explanation:

By the power rule, is a quadratic function if and only if its first derivative, , is linear.

In other words, is quadratic if and only if is of the form for some constants and . Tables of differences of could help approximate  whether is indeed linear.

Make sure that values of in the first row of the table are equally spaced. Calculate the change in over each interval:

Consecutive changes to the value of appears to resemble a line with slope within a margin of . Hence, it is likely that is indeed a quadratic function of .

The domain of a function is the set of input values that it accepts. For the of this question, the domain of is the set of values that could take. These are listed in the first row of this table.

On the other hand, the range of a function is the set of values that it outputs. For the of this question, these are the values in the second row of the table.

Since both the domain and range of a function are sets, their members are supposed to be unique. For example, the number "" appears twice in the second row of this table: one for and the other for . However, since the range of is a set, it should include the number only once.