IM Alg1.4.11 Practice: Domain and Range (Part 2)
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground.
Select the best description of the range of this function.
To raise funds for a trip, members of a high school math club are holding a game night in the gym. They sell tickets at $5 per person. The gym holds a maximum of 250 people. The amount of money raised is a function of the number of tickets sold.
Which statement accurately describes the domain of the function?
C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n.
The function is represented by the equation . Find a value of such that is true.
What does that value of tell you about the cafeteria meal plan?
Lin completes a 5K using a combination of walking and running. Here are four graphs that represent four possible situations. Each graph shows the distance, in meters, as a function of time, in minutes.
The graph shows the height, in meters, of a rocket seconds after it was launched.
Find . What does this value represent?
Describe the domain of this function.
Describe the range of this function.
Find . What does this value represent?
Mai has to decide between two cafeteria meal plans. Under plan A, each meal costs $2.50. Under plan B, one month of meals costs $30.
Write an equation for function , which gives the cost, in dollars, of buying meals under plan A.
Write an equation for function , which gives the cost, in dollars, of buying n meals under plan B.
Mai estimates that she’ll buy 15 meals per month. Which meal plan should she choose? Explain your reasoning.
Kiran is playing a video game. He earns 3 stars for each easy level he completes and 5 stars for each difficult level he completes. He completes more than 20 levels total and earns 80 or more stars.
Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.
Graph the inequalities and show the solution region.
Then, identify a point that represents a combination of stars and levels that is a solution to the system.
Interpret the point in the context of this situation and determine how many stars Kiran earns based on this point.