GED Mathematical Reasoning TestAlgebraic Problem Solving with Graphs and FunctionsEasy
A meteorologist is tracking a weather balloon. The balloon's altitude, h(t), in meters, after t minutes, is given by the function h(t) = 50t + 200. What is the practical range of this function if the balloon is tracked for 10 minutes, starting from t=0?
- A[200, 700]
- B[0, 500]
- C[200, 500]
- D[0, 700]
Show answer & explanationAnswer & explanation
Correct answer: A. [200, 700]
The practical range refers to the possible output values (altitude) given the practical domain (time). By substituting the minimum and maximum time values into the function, we can find the corresponding minimum and maximum altitude values.
Why the other options are wrong
- B. This range incorrectly assumes the starting altitude is 0 and the ending altitude is 500.
- C. This range incorrectly calculates the ending altitude.
- D. This range incorrectly assumes the starting altitude is 0.
Practical Range
The set of all possible output values of a function that are reasonable or make sense in a real-world context, given the practical domain.
- Depends on the practical domain of the function.
- Represents the 'output' values (e.g., height, cost, population).
- Often found by evaluating the function at the extremes of the practical domain.
Memory trick: Range 'R'eaches from the 'R'elevant 'R'esults.