Functions

Composition

100

f(x) = x², g(x) = 3x + 2

What is g(f(x)?

g(f(x)) = 3( f(x) ) + 2 -> 3x² + 2

200

p(x) = x+3, q(x) = x²

What is q(p(x))?

q(p(x)) = ( p(x) )² = (x + 3)² 

300

Decorative handwriting or handwritten lettering

What is calligraphy?

Addition

100

This famous ship sank in 1912.

What is the Titanic?

200

f(x) = 3x + 2, g(x) = 5x - 3

What is f + g?

f(x) + g(x) = (3x + 2) + (5x - 3) = 8x - 1

300

This is what happens in boxing after a really hard punch.

What is a knockout?

Subtraction

100

f(x) = 7x² - 3, g(x) = 5x + 2

What is f - g?

f(x) - g(x) = (7x² - 3) - (5x + 2) = 7x² - 3 - 5x - 2

= 7x² - 5x - 5

200

This person painted "Starry Night".

Who is Vincent Van Gogh?

300

A rule that assigns an input exactly one output.

What is a function?

Multiplication

100

These animals do not have teeth.

What is a bird?

200

f(x) = 5x, g(x) = 3

What is f * g?

f(x) * g(x) = 5x * 3 = 15x

300

The planets in our solar system ordered from closest to furthers.

Mercury -> Venus -> Earth -> Mars -> Jupiter -> Saturn -> Uranus -> Neptune (Pluto)

Division

100

A mapping between two sets, the inputs, and the outputs set.

What is a relation?

200

The Yen is used in which country?

What is Japan?

300

f(x) = 15x², g(x) = 3x

What is f / g?

f(x) / g(x) = 15x² / 3x = 5x