Math Problem Statement

Match the terms to their correct definitions from the image.

Solution

Here is the correct matching of the terms to their definitions from the provided image:

  1. Domain → All the valid input values of the function.
  2. Range → All the valid output values of the function.
  3. Minimum/Maximum → The highest or lowest point on the graph of a function.
  4. Intercepts → Everywhere the graph of a function crosses either the x or y axis.
  5. Asymptote → A line that the graph gets infinitely close to but never crosses.

Let me know if you'd like any additional clarifications! 😊

Related Questions:

  1. What is the difference between the domain and range of a function?
  2. How can you identify asymptotes on a graph or using equations?
  3. What is the significance of intercepts in real-world applications?
  4. Can a graph have multiple minimums or maximums? How are they classified?
  5. How does the range of a function depend on its domain?

Tip:

Always ensure you understand the shape of the graph and its behavior at boundaries to identify the domain, range, and asymptotes accurately.