Adding & Subtracting Functions

Operations on Functions

Essential Question: How does function notation help us simplify writing & understanding math questions?

Learning Goal:

I can read function notation and understand when to add, subtract or multiply functions together.

Multiple Choice

Which one is written in Standard form

• 4 + 5b³

• 4n³ - n + 6n²

• 2a² + 9

• 2h⁵ - 5h³ - 8 + 3h

Multiple Choice

Write the polynomial so the powers of x are in descending order.

9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 9x² + 5x + 2x³ + 27

• 9x² + 5x + 27 + 2x³

• 2x³ + 9x² + 5x + 27

Adding Functions

• f(x)+g(x) = (f+g)(x)

• Is just like adding polynomials

Multiple Choice

Find f(x) + g(x)

f(x)=6x + 4x⁴ - 3x²

g(x)=7x⁴ + 5x² + 8x

• 11x⁴ + 2x² + 14x

• 16x⁴ + x² + 14x

• 11x⁴ + x² + 14x

• 11x⁴ + 2x² + 10x

Fill in the Blank

Find g(x)+ h(x) g(x)= $$3-2x+2x^2$$   h(x)= $$4x-5+3x^2$$   *Use ^ to type your power/exponent (shift 6) For example: 3x^2 *be sure to type answer in descending order

Fill in the Blank

Find f(x) + g(x)
f(x)=4x - 2x3
g(x)=5x3 - 4x + 5


*be sure to type answer in descending order

Subtracting Functions

• f(x)-g(x) = (f-g)(x)

• Is just like subtracting polynomials

• *DO NOT forget to distribute the - (negative)

Multiple Choice

f(x)=x²+1
g(x)=2x-5
Find f(x)-g(x)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

Multiple Choice

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

Fill in the Blank

Find g(x) - h(x) $$g\left(x\right)=3-2x+2x^2$$   $$h\left(x\right)=4x-5+3x^2$$  *Use ^ to type your power/exponent (shift 6) For example: 3x^2 *be sure to type answer in descending order

Fill in the Blank

Find g(x) - f(x)

f(x)=4x - 2x³

g(x)=5x³ - 4x + 5

*be sure to type answer in descending order