ASSIGNMENT | Give an example from real life where functions are utilized.

Give an example from real life where functions are utilized. For ideas, look it up on the internet or find some examples in the textbook. Why did you pick this example? How might you or your classmates use this in the future?

2. If the domain and range of a function consists of real numbers, then you can graph it by plotting all ordered pairs of the form (x, f(x)). How can you tell by looking at a graph if it represents a function?

3. What is meant by a \”piecewise-defined\” function? Give a real-world example or an example using real numbers.
Example: Here is a real-world example to help you explain what a piecewise-defined function is and to give other examples:
At a local pizza restaurant, it costs $15 for a cheese pizza. However, if you buy more than 5 pizzas, it only costs $12 per pizza. Thus, the cost of a pizza is given by the following piecewise-defined function:

4. Why are there usually two solutions in quadratic equations?

5. Give an example from real life where quadratics are utilized. For ideas, look it up on the internet or find examples in the textbook. Why did you pick this example?

SAMPLE SOLUTION

In mathematics, a function can be defined as an expression or a law which can be used to explore the relationship between two variables. Using a function, an input can be modified to give the desired output. An example where a function is used in real life is temperature which can be regarded as a combination of various other factors/functions that happen in the environment. Temperature can be defined as a function of time, pressure and…