People learn new languages for many different reasons—from personal enrichment to school credit to necessity. When approaching a new language, we find patterns that are the product of rules. For example, languages have rules that govern grammatical structures, pronunciations, and word order. Communication is difficult when we break those rules.

Compare learning about functions to learning a new language. How are they similar?

6cm10 cma conical paper cup has dimensions as shown in the diagram. how much water can the cup hold when full?

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.

Y= x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)