Function Operations Warmup 2

Front

What is the sum of the functions f(n) = 2n + 1 and g(n) = 3n?

Back

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

Front

What is the result of simplifying (3x - 1)(x + 4) using the box method?

Back

3x^2 + 11x - 4.

Front

What expression goes in the missing box when using the box method for (3x - 1)(x + 4)?

Back

-4.

Front

What is the difference between the functions f(n) = x^2 + 1 and g(n) = 2x - 5?

Back

f(n) - g(n) = x^2 - 2x + 6.

Front

What is the product of the functions f(x) = 4x + 8 and g(x) = x + 3?

Back

f(x) * g(x) = 4x^2 + 20x + 24.

Front

Define function addition in the context of f(n) and g(n).

Back

Function addition is combining two functions by adding their outputs for the same input.

Front

What is the formula for function subtraction?

Back

Function subtraction is defined as (f - g)(x) = f(x) - g(x).

Front

Explain the box method for multiplying polynomials.

Back

The box method involves creating a grid to organize the multiplication of each term in the polynomials.

Front

What is the result of f(n) = 2n + 1 and g(n) = 3n when f(n) is subtracted from g(n)?

Back

g(n) - f(n) = n - 1.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function.