Operations of Functions

Front

What is the sum of two functions f(x) and g(x)?

Back

(f + g)(x) = f(x) + g(x)

Tags

CCSS.HSF-BF.A.1B

Front

What is the difference of two functions f(x) and g(x)?

Back

(f - g)(x) = f(x) - g(x)

Tags

CCSS.HSF-BF.A.1B

Front

If f(x) = 3x² + 7x and g(x) = 2x² - x - 1, what is (f + g)(x)?

Back

(f + g)(x) = 5x² + 6x - 1

Tags

CCSS.HSF-BF.A.1B

Front

If f(x) = 3x² + 7x and g(x) = 2x² - x - 1, what is (f - g)(x)?

Back

(f - g)(x) = x² + 8x + 1

Tags

CCSS.HSF-BF.A.1B

Front

What is the product of two functions f(x) and g(x)?

Back

(f * g)(x) = f(x) * g(x)

Tags

CCSS.HSF-BF.A.1B

Front

What is the quotient of two functions f(x) and g(x)?

Back

(f / g)(x) = f(x) / g(x), g(x) ≠ 0

Tags

CCSS.HSF-BF.A.1B

Front

If f(x) = 3x² + 7x, what is f(2)?

Back

f(2) = 3(2)² + 7(2) = 26

Tags

CCSS.HSF.IF.A.2

Front

If g(x) = 2x² - x - 1, what is g(-1)?

Back

g(-1) = 2(-1)² - (-1) - 1 = 2

Tags

CCSS.HSF.IF.A.2

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Tags

CCSS.8.F.A.1

Front

What does it mean for two functions to be equal?

Back

Two functions f(x) and g(x) are equal if f(x) = g(x) for all x in their domain.