Algebra 2 SOL Review #2

Front

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

Back

x = 1.7 or x = 2

Front

Use the quadratic formula to solve: 15x² + 22x + 8 = 0

Back

x = -2/3, x = -4/5

Front

Identify a factor of the polynomial: x² - 5x + 6

Back

(x - 2) and (x - 3) are factors.

Front

Determine the increasing interval for the function: f(x) = 3x² - 9

Back

0 ≤ x ≤ ∞

Front

Find the end behavior of the function: f(x) = -(x² - 3) + 3 as x approaches infinity.

Back

f(x) approaches -∞ as x approaches ∞.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

Front

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

Back

The vertex can be found at x = -b/(2a).

Front

Explain the concept of end behavior in functions.

Back

End behavior describes how a function behaves as x approaches positive or negative infinity.

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).