Can Marquita use this table to determine her exact velocity at
Tables only give us select values of a function. What values are we given that are close to
? Are these values close enough to find Marquita's exact velocity at ?
Approximate Marquita’s velocity at
using Hana’s method.
where represents the value whose slope you are looking for.
Note: Since we do note know values that are infinitely close to
, we can find Marquita's AROC (average velocity), not her IROC (actual velocity).
Marquita’s teacher observed that her data fits the function
. Assuming that her teacher is correct, compute Marquita’s exact velocities at and .
Use the Power Rule to find the IROC/derivative/slope function/velocity function. Then evaluate at
and again at .