Exploring Systems of Equa5ons 11.11.13
A system of of equa5ons is two or more func5ons that are related to each other.
Use the calculator document found in “2: My Documents” on the Home Screen. Open “Mylib”, then open “Systems Discovery”. Slide 1.1 corresponds to problem 1, slide 2.1 corresponds to problem 2, and so on. Complete this work in your notebook. Problem 1: f1(x) = 0.5x + 3 f2(x) = 0.25x + 4 1. As you grab and slide point p to the right, what happens to points a and b?
2. How are the slopes of the two equa5ons the same and how are they different? 3. How are the y-‐intercepts of the two equa5ons the same and how are they different? 4. How many 5mes do the two func5ons touch? 5. What is the coordinate for this point? 6. Subs5tute this point into both func5ons for the independent and dependent variables. Does this point make the equa5ons true or false? 7. If the func5ons only touch once, how many different possible solu5ons are there?
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