Cumulative Review-1st Semester Algebra 2

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Express the domain and range of the function f(x) = x^2 in interval notation.

Back

Domain: (-∞, ∞), Range: [0, ∞)

Front

What does it mean to transform a graph?

Back

Transforming a graph involves shifting, reflecting, stretching, or compressing the graph of a function.

Front

How does the graph of f(x) = x^3 change when transformed to f(x) = - (x + 3)^3 + 2?

Back

The graph is shifted 3 units left, 2 units up, and reflected across the x-axis.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor the expression 2m^2 + 3m - 9.

Back

(m + 3)(2m - 3)

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

How do you solve a system of equations graphically?

Back

You graph each equation on the same coordinate plane and identify the points where the graphs intersect.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.