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.

Tags

CCSS.HSF-BF.A.1B

Front

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

Back

3x^2 + 11x - 4.

Tags

CCSS.HSA.APR.A.1

Front

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

Back

-4.

Tags

CCSS.HSA.APR.A.1

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.

Tags

CCSS.HSF-BF.A.1B

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.

Tags

CCSS.HSF-BF.A.1B

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.

Tags

CCSS.HSF-BF.A.1B

Front

What is the formula for function subtraction?

Back

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

Tags

CCSS.HSF-BF.A.1B

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.

Tags

CCSS.HSA.APR.A.1

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.

Tags

CCSS.HSF-BF.A.1B

Front

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

Back

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