5-6 Writing Equations from Patterns

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)]

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?...

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

Find the equation x12345 y

(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!!!

Find the equation x12345 y

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

Classwork #63 Find the equations for the following relations x13579 y x y

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 y

(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.

Find the equation x12345 y

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

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

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.

Study Guide 5-6 #1 - 6