Algebra 2 SOL Review #1

Front

What is the domain of the function f(x) = x^3 - 4?

Back

-∞ ≤ x ≤ ∞

Front

Solve the equation by factoring: 5x^2 - 35x + 60 = 0

Back

x = 3, x = 4

Front

Factor the expression x^3 - 125.

Back

(x - 5)(x^2 + 5x + 25)

Front

Simplify the expression: -x - 1.

Back

-x - 1

Front

Which function belongs to the same family as the parent function? (x - 2)^2, |x - 2|, (x - 2)^3, √(x-2)

Back

(x - 2)^3

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has the form f(x) = mx + b, while a quadratic function has the form f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What is the zero product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex (h, k) of a quadratic function f(x) = a(x - h)^2 + k can be found using the formula h = -b/(2a) for the standard form f(x) = ax^2 + bx + c.

Front

What is the formula for the difference of cubes?

Back

The difference of cubes can be factored as a^3 - b^3 = (a - b)(a^2 + ab + b^2).