reasonable domain
[reasonable domain|reasonable domain] The domain represents the set of input values, so the reasonable domain for this function is 0 ≤ t ≤ 8.75.
Definition
reasonable domain The domain represents the set of input values, so the reasonable domain for this function is 0 ≤ t ≤ 8.75. The second answer is outside the reasonable domain of our model, so we conclude the ball will hit the ground after about 5.458 seconds.
Mechanism
reasonable domain The function P requires identifying a reasonable domain and range, as does the function W. Both functions involve determining appropriate input and output values.
Causes
reasonable domain The quadratic formula is used to solve for t, resulting in two solutions. The square root does not simplify nicely, requiring a calculator for approximation. The second solution is outside the reasonable domain [ 0 , 7 ] .