Evaluating Quadratic Functions

The video tutorial explains how to evaluate function values using substitution. It covers the evaluation of F(2), F(-4), and F(1/2) for the function F(x) = 2x^2 - 5x + 1. The tutorial demonstrates the substitution process, simplification using order of operations, and verification using a graphing calculator. It also highlights the graphical representation of function values and confirms the function's validity through the vertical line test.

What is the function given in the video?

• f(x) = 2x^2 - 5x + 1

• f(x) = 3x^2 + 4x - 1

• f(x) = 4x^2 - 5x + 2

• f(x) = x^2 - 2x + 3

What is the value of f(2) for the function f(x) = 2x^2 - 5x + 1?

• 1

• -1

• 2

• 0

When evaluating f(2), what is the result of the expression 8 - 10 + 1?

• 2

• 1

• -1

• 0

What is the value of f(-4) for the function f(x) = 2x^2 - 5x + 1?

• 53

• 21

• 45

• 32

What is the graphical representation of the point when x = -4 for the function?

• (-4, 53)

• (-4, -53)

• (4, -53)

• (4, 53)

What is the value of f(1/2) for the function f(x) = 2x^2 - 5x + 1?

• 0

• -1

• 1

• 2

What is the result of the expression 1/2 - 5/2 + 1 when evaluating f(1/2)?

• -1

• 1

• 2

• 0

What shape does the graph of the function f(x) = 2x^2 - 5x + 1 take?

• V-shaped

• U-shaped

• Linear

• Circular

What does it mean when two different inputs have the same output in a function?

• The function passes the vertical line test

• The function is linear

• The function is not defined

• The function is not a function

What tool is used to verify the function values in the video?

• Calculator

• Graphing calculator

• Computer

• Abacus