Operations on Functions

Operations on Functions

Ph-USA Guru

What you'll learn today:

• Review what is function.

• Perform operations on functions

What is Function?

• A relationship where every domain (x value has exactly one unique range y value)

• Functions is simply SUBSTITUTION!!!

Multiple Choice

Find g(x) = -3x + 10, given g(-2) .

• 6

• 16

• 26

• 36

Multiple Choice

How do you read f(x)?

• f x

• f of x

• f times x

• f parenthesis x

Multiple Choice

f(x) is the same thing as _____.

• y

• x

• input

• an equation

Multiple Choice

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

• f(x) = 21+1

• f(1) = 2 (1) + 1

• f(1) = 2x (1) + 1

Multiple Choice

If a question asks you to find f(2), what does that mean?

• Let x = 2

• Let y = 2

Multiple Choice

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

Multiple Choice

If f(x) = x - 1 and g(x) = 5x - 2, then (f + g) (x) =

• 5x² + 1

• 5x³ - 3

• 6x + 1

• 6x - 3

Multiple Choice

• 4x² - 8x - 8

• 4x² - 8x

• 4x² - 8x - 8

• 4x² − 8x

Multiple Choice

What is f(6) for the function f(x) = 3x - 8?

• -8

• 10

• -144

• answer not here

Multiple Choice

• -4x - 3

• -4x + 1

• 6x + 1

• 6x - 3

Multiple Choice

• 2x² - 8x - 8

• 2x² + 8x - 8

• 2x² - 8x

• 2x² + 8x

Multiple Choice

• 5x - 3

• 5x² + 2

• 5x² - 7x + 2

• 5x - 7

Multiple Choice

• 4x + 1

• -2x + 3

• $3x^2\ +\ 5x\ -\ 2$

• $\frac{x\ +\ 2}{3x\ -\ 1},\ x\ \ne\frac{1}{3}$