Math 3 Fall Final Review

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What does it mean for a function to have real roots?

Back

Real roots are the values of x for which the function f(x) = 0, and they are found on the x-axis of the graph.

Front

What is the significance of imaginary roots in polynomial functions?

Back

Imaginary roots occur in conjugate pairs and indicate that the polynomial does not intersect the x-axis at those points.

Front

How do you simplify expressions with negative exponents?

Back

Front

What is the Rational Root Theorem?

Back

Front

What is the process for finding the roots of a polynomial function?

Back

To find the roots of a polynomial function, set the function equal to zero and solve for x using factoring, synthetic division, or the quadratic formula.

Front

What is the difference between real and imaginary numbers?

Back

Real numbers can be found on the number line, while imaginary numbers involve the square root of negative numbers and cannot be represented on the number line.

Front

What is the vertex form of a quadratic function?

Back

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the leading term's degree and coefficient: even degree with positive coefficient goes up on both ends, odd degree with positive coefficient goes up on the right and down on the left.

Front

What is the purpose of factoring polynomials?

Back

Factoring polynomials helps to simplify expressions, solve equations, and find the roots of the polynomial.