Algebra 2 SOL Review #2

Front

What is the end behavior of the function -(x² - 3) + 3 as x approaches infinity?

Back

-∞

Front

What is the increasing interval for the function f(x) = 3x² - 9?

Back

0 ≤ x ≤ ∞

Front

What is the quadratic formula used to solve ax² + bx + c = 0?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Solve using the quadratic formula: 15x² + 22x = -8

Back

x = -2/3, -4/5

Front

Solve: 3x² - 11x + 10 = 0

Back

x = 1.7 or 2

Front

What is a polynomial?

Back

A mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first.

Front

What is the vertex of a parabola given by the equation y = ax² + bx + c?

Back

The vertex is at the point (-b/(2a), f(-b/(2a))).

Front

What is the discriminant in the quadratic formula?

Back

The discriminant is b² - 4ac and determines the nature of the roots of the quadratic equation.