Algebra 2 SOL Review #1

Front

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

Back

-∞ ≤ x ≤ ∞

Front

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

Back

(x - 15)(x + 4)

Front

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

Back

2 ≤ x ≤ ∞

Front

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

Back

x = 3, 4

Front

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

Back

All real numbers (−∞, ∞).

Front

What does it mean for a function to be defined?

Back

A function is defined for all x in its domain.

Front

What is the difference between the domain and range of a function?

Back

Domain is the set of all possible input values (x), while range is the set of all possible output values (f(x)).

Front

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

Back

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

Front

What is the vertex form of a quadratic function?

Back

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

Front

What is the significance of the leading coefficient in a polynomial function?

Back

It determines the direction of the graph (upward or downward) and affects the width of the parabola.