Operations With Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

Front

What does (f + g)(x) represent?

Back

(f + g)(x) represents the sum of two functions f(x) and g(x) evaluated at x.

Tags

CCSS.HSF-BF.A.1B

Front

How do you find (f - g)(x)?

Back

To find (f - g)(x), subtract the function g(x) from f(x) for each value of x.

Tags

CCSS.HSF-BF.A.1B

Front

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

Back

The formula for multiplying two functions is (f * g)(x) = f(x) * g(x).

Tags

CCSS.HSF-BF.A.1B

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation.

Tags

CCSS.HSF.IF.A.2

Front

What is the result of (f + g)(x) if f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1?

Back

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

Tags

CCSS.HSF-BF.A.1B

Front

What is the result of (f - g)(x) if f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1?

Back

(f - g)(x) = -3x^2 - 13x.

Tags

CCSS.HSF-BF.A.1B

Front

If g(x) = -2x + 2 and f(x) = 3x^2 + 4, what is (g + f)(-3)?

Back

(g + f)(-3) = 39.

Tags

CCSS.HSF-BF.A.1B

Front

What is the product of f(x) = 3 and g(x) = -2x + 5?

Back

f(x) * g(x) = -6x + 15.

Tags

CCSS.HSF-BF.A.1B

Front

How do you find f(-2) if f(x) = x + 3?

Back

f(-2) = -2 + 3 = 1.

Tags

CCSS.HSF.IF.A.2