Alg. 2 Honors Midterm Exam. 2024-25

Front

What is the result of subtracting two polynomial functions f(x) and g(x)?

Back

To find f(x) - g(x), subtract the corresponding coefficients of like terms in the polynomials.

Front

What is the general form of a quadratic function?

Back

A quadratic function is generally expressed as f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you determine the intervals where a quadratic function is increasing or decreasing?

Back

Find the vertex of the quadratic function. The function is decreasing to the left of the vertex and increasing to the right.

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x.

Front

How do you solve an equation involving absolute values?

Back

Set up two cases: one for the positive scenario and one for the negative scenario, then solve each case.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, f(x) decreases.

Front

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

Back

The leading coefficient determines the end behavior of the polynomial function.

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 polynomial and a rational function?

Back

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