Do Now: Grab a piece of graph paper off the back table Find your new seat Solve the system of Inequalities

Functions & Compositions

What is function notation? Function Notation is using “f(x)” to represent “y” in an equation f(x) is pronounced “ f of x ” So instead of writing y = x+1 we write f(x) = x+1 The problems still work the same way!

Examples: f(0) = f(3) = f(-2)=

You try! f(0) = f(4) = f(-2)=

What if we need to plug in a variable or polynomial? It works the same way! Make sure to follow order of operations! f(-2x) =

What if we need to plug in a variable or polynomial? It works the same way! Make sure to follow order of operations! f(x+4) = Remember when you square a binomial you need to foil or box!

Examples: f( p ) = f(5x2) = f(x+1)=

You try! f( p ) = f(5x2) = f(x+2)=

Partner Races! Answer the questions on the sheet! Partner brings the worksheet up to Ms Taylor If all correct  Point for your team  Most Points = CANDY

Adding & Subtracting Functions

Example (with variables): (f + g)(x) = Is (g + f)(x) any different?

Example (with numbers): (f + g)(2) = Is (g + f)(2) any different?

Example (with variables): (f - g)(x) = Is (g - f)(x) different?

Example (with numbers): (f - h)(2) = Is (h - f)(2) different?

You try! (h + k)(x)= (k - h)(x)= (h - k)(-2)=

Multiplying & Dividing

Example (with variables): (f • g)(x) = Is (g • f)(x) any different?

Example (with numbers): (f • g)(-2) = Is (g • f)(-2) any different?

Example (with variables): (f / g)(x) = Is (g / f)(x) different?

Example (with numbers): (f /h)(3) = Is (h / f)(3) different?

Partner Races! Answer the questions on the sheet! Partner brings the worksheet up to Ms Taylor If all correct  Point for your team  Most Points = CANDY

Do Now (h • k)(x)= (k / h)(x)= (h • k)(-2)= Get out your homework from Monday and put it on your desk for Ms. Taylor to stamp If you have your project done, put it in the basket, if not finish it during lunch or flex (h • k)(x)= (k / h)(x)= (h • k)(-2)=

Homework Check Any questions?!

Composition of Functions Taking a function & plugging it in to another function!

Example (with variables): Find (f ◦ g)(x) and (g ◦ f)(x)

Example (with numbers): Find (f ◦ g)(-4) and (g ◦ f)(-4)

You try! Find (f ◦ g)(x) and (g ◦ f)(x)

You try! Find (f ◦ g)(-1) and (g ◦ f)(-1)

Partner Races! Answer the questions on the sheet! Pass sheet to the person in front of you Front row hands me the sheet If all correct  CANDY!

Honors Level Questions

Around the World- QUIZ GRADE!

Homework Finish the rest of the Function Operations worksheet