MA.FR.1.b
Determine the domain and range of composite functions algebraically and graphically.
Example Problems
Mateo operates a greenhouse during the winter.
The electricity used, E, in kilowatt‑hours, to heat the greenhouse for h hours is .
The cost, C, in dollars, of using q kilowatt‑hours is .
Write an expression that models the cost of heating the greenhouse for h hours.
The electricity used, E, in kilowatt‑hours, to heat the greenhouse for h hours is .
The cost, C, in dollars, of using q kilowatt‑hours is .
Write an expression that models the cost of heating the greenhouse for h hours.
Bryce owns a vineyard in the foothills.
The liters of grape juice, G, obtained from b baskets of grapes is .
The number of wine bottles, B, that can be filled from l liters of juice is .
Write an expression that represents the number of wine bottles produced as a function of the number of baskets of grapes harvested.
The liters of grape juice, G, obtained from b baskets of grapes is .
The number of wine bottles, B, that can be filled from l liters of juice is .
Write an expression that represents the number of wine bottles produced as a function of the number of baskets of grapes harvested.
Zara operates a mobile car‑wash service.
The number of cars washed, W, during d hours on the road is .
The income, I, in dollars, from washing n cars is .
Write an expression that represents Zara's income as a function of the number of hours spent on the road.
The number of cars washed, W, during d hours on the road is .
The income, I, in dollars, from washing n cars is .
Write an expression that represents Zara's income as a function of the number of hours spent on the road.
1-on-1 AI tutoring aligned to MA.FR.1.b. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →