Algebra II - Final Exam

Front

What does it mean to find the inverse of a function?

Back

The x's and y's are switched.

Front

What is a hole in a function?

Back

A hole occurs at x=5.

Front

What is an Augmented Matrix?

Back

An Augmented Matrix is a matrix that represents a system of equations.

Front

Convert to vertex form: y = 2x^2 + 12x - 9.

Back

y = 2(x - 3)^2 - 9.

Front

What is the value of \sin\left(\frac{7\pi}{6}\right)?

Back

-\frac{1}{2}.

Front

Define a quadratic function.

Back

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

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

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 quadratic formula?

Back

The quadratic formula is x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b^2 - 4ac and determines the nature of the roots.