Algebra 2 SOL Review #2

Front

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

Back

x = 1.7 or x = 2

Front

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

Back

The end behavior is -∞.

Front

Identify a factor of the polynomial: (provide polynomial here)

Back

(provide answer here)

Front

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

Back

The increasing interval is 0 ≤ x ≤ ∞.

Front

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

Back

x = -2/3 or x = -4/5.

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 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 vertex form of a quadratic function?

Back

The vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.