Algebra 2 SOL Review #1

Front

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

Back

-∞ ≤ x ≤ ∞

Front

Factor the quadratic expression x^2 - 11x - 60.

Back

(x - 15)(x + 4)

Front

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

Back

x = 3, 4

Front

What is the domain of the function f(x) = log(x - 2)?

Back

2 ≤ x ≤ ∞

Front

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

Back

-∞ < f(x) < ∞

Front

Define a polynomial function.

Back

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.

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.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

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 of the parabola.

Front

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

Back

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