Honors Algebra 2: Semester 1 Final Exam Review

Front

Describe the characteristics of a polynomial with an even degree and a positive leading coefficient.

Back

The graph of the polynomial will rise on both ends and have a U-shape. It is an even function, meaning it is symmetric about the y-axis.

Front

What is the formula for the height of an object in free fall after t seconds?

Back

h = -16t^2 + h0, where h0 is the initial height.

Front

How do you determine the time it takes for an object to hit the ground when dropped from a height?

Back

Set the height equation to zero and solve for t.

Front

What is the domain of the absolute value function?

Back

(-infinity, infinity) - The absolute value function is defined for all real numbers.

Front

What are the zeros of a function?

Back

The zeros (or roots) of a function are the values of x for which f(x) = 0.

Front

What is the vertex of a quadratic function in standard form?

Back

The vertex is the point (h, k) in the vertex form y = a(x-h)^2 + k.

Front

What is the axis of symmetry for a quadratic function?

Back

The axis of symmetry is the vertical line x = h, where (h, k) is the vertex.

Front

How do you find the roots of a polynomial equation?

Back

Set the polynomial equal to zero and solve for x using factoring, the quadratic formula, or synthetic division.

Front

What is the difference between a rational function and a polynomial function?

Back

A rational function is the ratio of two polynomials, while a polynomial function is a sum of terms with non-negative integer exponents.

Front

What does it mean for a function to be even?

Back

A function is even if f(-x) = f(x) for all x in the domain, indicating symmetry about the y-axis.