Evaluating Polynomial Functions and Expressions

This video tutorial covers evaluating polynomial expressions and functions. It begins with an introduction to polynomial expressions, explaining how to evaluate them using substitution. The tutorial then transitions to polynomial functions, detailing different degrees of functions and how to evaluate them. The video concludes with a real-world application of quadratic functions, demonstrating how to calculate the distance traveled by a free-falling object. Throughout, the use of a graphing calculator is shown to verify calculations.

What is a polynomial expression?

• An expression with terms connected by division

• An expression with terms connected by addition or subtraction

• An expression with only one term

• An expression with terms connected by multiplication

If you have the expression 5X - 12 and X = 17, what is the result after substitution?

• 90

• 65

• 73

• 85

What is the first step in evaluating a polynomial expression using a graphing calculator?

• Solve the expression manually

• Graph the expression

• Store the values into the variables

• Enter the expression directly

What is a polynomial function?

• A function with only one term

• A function with terms connected by addition or subtraction

• A function with terms connected by multiplication

• A function with terms connected by division

What is the degree of a quadratic function?

• 1

• 2

• 3

• 4

How do you evaluate a polynomial function when given a specific value for X?

• By solving the function manually

• By performing substitution

• By using a calculator

• By graphing the function

What is the value of P(-5) for the function -5^3 + 3(-5)^2 - 9(-5) - 13?

• -25

• 0

• 18

• -18

What does the point (X, Y) represent on a polynomial function graph?

• A random point on the graph

• The intersection of the graph with the X-axis

• The intersection of the graph with the Y-axis

• A specific function value for a given X

What is the formula for the distance traveled by a free-falling body from rest?

• S(t) = 16t

• S(t) = 9.8t^2

• S(t) = 16t^2

• S(t) = 32t^2

How far does a skydiver fall in 8 seconds before pulling the parachute?

• 256 feet

• 512 feet

• 1024 feet

• 2048 feet