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

Solve the quadratic equation 3x² - 11x + 10 = 0.

Back

x = 1.7 or x = 2

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

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

Back

x = -2/3, -4/5

Front

What is a polynomial?

Back

A mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

Define a factor of a polynomial.

Back

A polynomial f(x) is a factor of g(x) if g(x) = f(x) * h(x) for some polynomial h(x).

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 does it mean for a function to be increasing?

Back

A function is increasing on an interval if for any two points x1 and x2 in that interval, if x1 < x2, then f(x1) < f(x2).

Front

What is the discriminant in a quadratic equation?

Back

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