Flashcard#2 MRS21H (MP3) 12/20/24

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.

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (input).

Front

What is the vertex of a quadratic function in the form f(x) = a(x - h)^2 + k?

Back

The vertex is the point (h, k) where the parabola reaches its maximum or minimum value.

Front

What is the sum of the roots of a quadratic equation ax^2 + bx + c = 0?

Back

The sum of the roots is given by the formula S = -b/a.

Front

What is the product of the roots of a quadratic equation ax^2 + bx + c = 0?

Back

The product of the roots is given by the formula P = c/a.

Front

How do you combine like terms in an expression?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean for roots to be real and distinct?

Back

Roots are real and distinct if the discriminant (b² - 4ac) is greater than zero.

Front

What does it mean for roots to be real and equal?

Back

Roots are real and equal if the discriminant (b² - 4ac) is equal to zero.