Evaluating Functions: Key Concepts and Techniques

In this video tutorial, the teacher explains how to evaluate functions, specifically focusing on the function f(x) = 2x^2 - 3x + 1. The video demonstrates evaluating this function for x=3 and x=-5, providing a detailed step-by-step process. Additionally, a second example is given using the function g(x) = x^2 - 2x, where the value of g(3) is calculated. The tutorial concludes with an assignment for students to evaluate g(-5) and encourages interaction through comments.

What is the given function f(x) in the video?

• f(x) = 2x^2 - 3x + 1

• f(x) = x^2 - 2x

• f(x) = 3x^2 - 2x + 1

• f(x) = 2x^2 + 3x - 1

In which grade is the topic of evaluating functions taught in the Philippines?

• Grade 10

• Grade 11

• Grade 12

• Grade 9

Tags

CCSS.HSF.IF.A.2

What is the first step in evaluating f(3) for the function f(x) = 2x^2 - 3x + 1?

• Multiply x by 2

• Add 1 to the value of x

• Square the value of x

• Replace x with 3 in the function

Tags

CCSS.HSF.IF.A.2

What is the value of 3 squared?

• 6

• 9

• 12

• 3

Tags

CCSS.6.EE.A.1

What is the evaluated value of f(3) for the function f(x) = 2x^2 - 3x + 1?

• 12

• 10

• 9

• 11

Tags

CCSS.HSF.IF.A.2

What is the first step in evaluating f(-5) for the function f(x) = 2x^2 - 3x + 1?

• Replace x with -5 in the function

• Multiply x by 2

• Add 1 to the value of x

• Square the value of x

Tags

CCSS.HSF.IF.A.2

What is the value of (-5) squared?

• 15

• 10

• -25

• 25

Tags

CCSS.7.EE.B.3

What is the evaluated value of f(-5) for the function f(x) = 2x^2 - 3x + 1?

• 68

• 67

• 66

• 65

Tags

CCSS.HSF.IF.A.2

What is the function g(x) introduced in the second example?

• g(x) = x^2 + 2x

• g(x) = 2x^2 - 3x + 1

• g(x) = 3x^2 - 2x

• g(x) = x^2 - 2x

What is the evaluated value of g(3) for the function g(x) = x^2 - 2x?

• 9

• 3

• 0

• 6

Tags

CCSS.HSF.IF.A.2