Algebra 2 SOL Review #2

Front

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

Back

x = -2/3, -4/5

Front

Find 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: 3x² - 11x + 10 = 0

Back

x = 1.7 or 2

Front

Identify a factor of the polynomial: 3x² - 11x + 10.

Back

(x - 2)(3x - 5) is a factor.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Define a polynomial function.

Back

A function that is represented by a polynomial expression, e.g., f(x) = ax² + bx + c.

Front

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

Back

The vertex is at x = -b/(2a).

Front

Explain the significance of the discriminant in a quadratic equation.

Back

The discriminant (b² - 4ac) determines the nature of the roots: 0 (one real root), >0 (two real roots), <0 (no real roots).

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).