Function Operations Review

Front

What is the definition of function operations?

Back

Function operations involve combining two or more functions using addition, subtraction, multiplication, or division.

Tags

CCSS.HSF-BF.A.1B

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you find the quotient of two functions, g(x) and h(x)?

Back

To find the quotient g(x)/h(x), divide the output of g(x) by the output of h(x), ensuring h(x) ≠ 0.

Tags

CCSS.HSF-BF.A.1B

Front

What is the domain restriction when dividing functions?

Back

The domain restriction is determined by the values that make the denominator zero, as these values are not allowed.

Tags

CCSS.HSF-BF.A.1B

Front

What is the composition of functions?

Back

The composition of functions, denoted as (f ∘ g)(x), means applying function g first and then applying function f to the result.

Tags

CCSS.HSF-BF.A.1C

Front

How do you evaluate q(p(-2)) if p(x) = 3x + 4 and q(x) = 2x^2?

Back

First, find p(-2) = 3(-2) + 4 = -2. Then, substitute -2 into q: q(-2) = 2(-2)^2 = 8.

Tags

CCSS.HSF-BF.A.1C

Front

What is the formula for subtracting two functions, f(x) and g(x)?

Back

The formula for subtracting two functions is (f - g)(x) = f(x) - g(x).

Tags

CCSS.HSF-BF.A.1B

Front

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

Back

To find the sum, use the formula (f + g)(n) = f(n) + g(n).

Tags

CCSS.HSF-BF.A.1B

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 + 9) - (x - 9) = x^2 - x + 18.

Tags

CCSS.HSF-BF.A.1B

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 + 4n) + (-n - 5) = n^2 + 3n - 5.

Tags

CCSS.HSF-BF.A.1B