Adding & Subtracting Functions

Front

What is the result of f(x) - g(x) if f(x) = x^2 + 9 and g(x) = x - 9?

Back

f(x) - g(x) = x^2 - x + 18

Front

What is the result of f(x) - g(x) if f(x) = x^2 + 1 and g(x) = 2x - 5?

Back

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

Front

What is the result of f(n) + g(n) if f(n) = n^2 + 4n and g(n) = -n - 5?

Back

f(n) + g(n) = n^2 + 3n - 5

Front

What is the result of f(n) - g(n) if f(n) = x^2 + 1 and g(n) = 2x - 5?

Back

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

Front

What does it mean to add functions?

Back

Adding functions means combining their outputs: (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: (f - g)(x) = f(x) - g(x).

Front

How do you find the sum of two functions f(x) and g(x)?

Back

To find the sum, calculate (f + g)(x) = f(x) + g(x).

Front

How do you find the difference of two functions f(x) and g(x)?

Back

To find the difference, calculate (f - g)(x) = f(x) - g(x).

Front

What is the transformation of the function f(x) = x^2 when it is shifted right 3 and up 2?

Back

The transformed function is f(x) = (x - 3)^2 + 2.

Front

What is the general form of a quadratic function?

Back

The general form is f(x) = ax^2 + bx + c, where a, b, and c are constants.