Adding, Subtracting and Multiplying Functions Flashcard

Front

f(n)=2n+1, g(n)=3n. Find f(n)+g(n)

Back

f(n) + g(n) = (2n + 1) + (3n) = 5n + 1.

Front

What are all of the x values or inputs called?

Back

Domain: The set of all possible input values (x-values) for a function.

Front

f(t) = −2t² + 1. Find f(2).

Back

f(2) = −2(2)² + 1 = −8 + 1 = −7.

Front

f(n)=x²+1, g(n)=2x-5. Find f(n)-g(n)

Back

f(n) - g(n) = (x² + 1) - (2x - 5) = x² - 2x + 6.

Front

Find the product: (2y - 7)(3y + 5)

Back

(2y - 7)(3y + 5) = 6y² - 11y - 35.

Front

What is the range of a function?

Back

Range: The set of all possible output values (y-values) of a function.

Front

What is a function?

Back

Function: A relation that assigns exactly one output for each input.

Front

What does it mean to add functions?

Back

Adding functions means combining their outputs for the same input: (f + g)(x) = f(x) + g(x).

Front

What does it mean to subtract functions?

Back

Subtracting functions means finding the difference of their outputs for the same input: (f - g)(x) = f(x) - g(x).

Front

What is the product of two functions?

Back

The product of two functions is found by multiplying their outputs for the same input: (f * g)(x) = f(x) * g(x).