[IM2] Unit 3 Warm Up 11.11.24

Front

What is the definition of a domain in 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 determine the domain of a function given its equation?

Back

To determine the domain, identify any restrictions on the variable (such as division by zero or square roots of negative numbers) and express the valid x-values.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Front

How can you convert a quadratic function from standard form to vertex form?

Back

To convert from standard form (y = ax² + bx + c) to vertex form, complete the square.

Front

What does it mean to fully factor a polynomial?

Back

Fully factoring a polynomial means expressing it as a product of its irreducible factors.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a - b)(a + b).

Front

How do you factor the expression 25x² - 81?

Back

25x² - 81 can be factored using the difference of squares formula: (5x + 9)(5x - 9).

Front

What is polynomial addition?

Back

Polynomial addition involves combining like terms from two or more polynomial expressions.

Front

How do you simplify the expression (3p + 2p³ - 5p²) - (p² - 5p - 2p³) + (p² + 4p³ + 5p)?

Back

Combine like terms: 8p³ - 5p² + 13p.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.