1. 5-6 Writing Equations from Patterns

2. Drill # 63 If then find each value: 1.f(0)2.f(1)3. f(-2) 4.g(w)5.g(x + 2)6.3[g(2)]

3. 5-5 Rewind A relation is a function if … We can tell if a graph is a relation by using the … In functional notation we replace y with … For a given function f(x), to evaluate f(1) what variable with 1?...

4. 5-6 Writing Equations from Patterns Objective: To write equations to represent relations, given some of the solutions for the equations. Why it’s important: You can write equations to solve complex problems

5. Find the equation x12345 y48121620

6. (20.) To find an equation: Step 1: find the difference of the range over the difference in the domain. y = or y = Y IS ON TOP!!!

7. Find the equation +1 +1 +4 +4 +4 +4 x12345 y48121620

8. To find an equation: Step 1: find the difference of the range over the difference in the domain. y = (x) y = (x) = 4x

9. Classwork #63 Find the equations for the following relations 1. 2. x13579 y26101418 x1471016 y-3-12-21-30-48

10. Find the equation Notice that we need to do one more step to find the equation. When the first step doesn’t work we need to add something to make it work. x12345 y59131721

11. (20.) Writing Equations from Patterns Step 1: find the difference of the range over the difference in the domain. y = (x) + c Step 2: find c by substituting ordered pairs into the equation and solving for c.

12. Find the equation +1 +1 +4 +4 +4 +4 x12345 y59131721

13. To find an equation: Step 1: find the difference of the range over the difference in the domain. y = (x) + C y = (x) + C = 4x + C

14. To Find C: Step 2: Find C by substituting an ordered pair into the equation y = 4x + c try y = 5, x = 1 (you can use any x, y pairs) 5 = 4(1) + c 5 – 4 = c C = 1 So our equation is y = 4x + 1

15. Check your answer by plotting You can check your answer by plotting the ordered pairs on a coordinate plane. The constant C is where the line crosses the y- axis.

16. Study Guide 5-6 #1 - 6