Operations of Functions

Open Ended

Open Ended

Operations of Functions

by JadeAnthony Dosdos

​Addition and Subtraction of Function

​by JadeAnthony Dosdos

​Lesson Objective:

​At the end of the lesson, student should be able to:

​

​- Add and subtract functions.

​Core Concepts:

​Warm-Up:

Example:

Multiple Choice

Given:  $$f\left(x\right)=x^2-25$$  ;  $$g\left(x\right)=x-5$$  

Find:  $$f\left(x\right)+g\left(x\right)=$$  

• $$x^2+x-30$$  

• $$x+5$$  

• $$x^2-x-20$$  

• $$-x^2+x-30$$  

Multiple Choice

Given: $$f\left(x\right)=x^2+3x-28$$  ; $$g\left(x\right)=x^2-4x-4$$  

Find: $$g\left(x\right)-f\left(x\right)=$$  

• $$2x^2-x+32$$  

• $$2x^2-7x+32$$  

• $$x^2-7x+24$$  

• $$-7x+24$$  

​Multiplication and Division of Functions

​by JadeAnthony Dosdos

​Lesson Objective:

​At the end of the lesson, student should be able to:

​

​-multiply functions.

​Warm-up:

Multiple Choice

Multiply:  $$-5x\left(x^3-2x^2-3x+1\right)$$  

• $$5x^2+2x^3+15x-5x$$  

• $$-5x^2-2x^3+15x-5x$$  

• $$-5x^2+2x^3-15x-5x$$  

• $$-5x^2+2x^3+15x-5x$$  

Multiple Select

Divide: $$\frac{18x^2-24x+6}{3x-3}$$  

• $$6x-2$$  

• $$3x-3$$  

• $$18x-6$$  

​Example:

Multiple Choice

Given:  $$f\left(x\right)=x^2-3x+2$$  and  $$g\left(x\right)=x-1$$  

Find:  $$f\left(x\right)\cdot g\left(x\right)=$$  

• $$x^3-4x^2+6x-2$$  

• $$x^3+4x^2-6x-2$$  

• $$x^3-3x^2+6x-2$$  

• $$x^3+3x^2+6x-2$$  

Multiple Choice

Given: $$f\left(x\right)=x^2-3x+2$$  and  $$g\left(x\right)=x-1$$  

Find  $$\frac{f\left(x\right)}{g\left(x\right)}$$  

• 2x+1

• 2x-1

• x+1

• x-2