Given the function .
Calculate .
Determine the -values for which .
What window settings do you need to use in order to see all `x` -intersects and all vertices of the graph of ?
Is there exactly one value of for every value of ? Or are there examples where this is not the case?
Is there exactly one value of for every value of ? Or are there examples where this is not the case?
For the water you use in your house there is an annual fixed charge of € 42.00 and an additional € 0.25 for every m3 used. Your annual costs thus depend on the number of m3 ( ) that you use.
Why is a function of ?
Calculate .
Write down the function rule for .
Most families pay less than euro annualy for their water usage. How many cubic metres of water can these families be using at most?
Given the functions and .
Determine the `x` -intersects and the vertex of the graph of .
Use your calculator to graph and . Write down what window settings are best used if you want to see the `x` -intersects and vertices of both functions.
Determine all points where the two graphs intersect, rounded to two decimals.
Given the functions and .
Calculate the `x` -intersects of both functions.
Now use your calculator to graph both functions. Write down what window settings are best used if you want to see the `x` -intersects and vertices of both functions.
Determine all points where the two graphs intersect, rounded to one decimal.
In the following you are given four function rules. For each one, determine the `x` -intersects. Then write down the window settings that give the best view of the graph.