Evaluating Functions and Operations

The video tutorial explains how to evaluate and manipulate functions F(x) = 3x - 6 and G(x) = 2x^2 + 7x + 5. It covers evaluating specific values like F(7) + G(5) and F(3) - G(2), and demonstrates how to add and subtract these functions to form new expressions. The tutorial emphasizes the importance of correctly handling parentheses and signs during these operations.

What is the result of evaluating f(7) using the function f(x) = 3x - 6?

• 9

• 21

• 15

• 18

Tags

CCSS.HSF.IF.A.2

How do you calculate g(5) using the function g(x) = 2x^2 + 7x + 5?

• By dividing the function by 5

• By substituting 5 for x and simplifying

• By adding 5 to the function

• By multiplying the function by 5

Tags

CCSS.HSF.IF.A.2

What is the final result of f(7) + g(5)?

• 60

• 90

• 105

• 75

Tags

CCSS.HSF.IF.A.2

What is the result of evaluating f(3) using the function f(x) = 3x - 6?

• 6

• 9

• 0

• 3

Tags

CCSS.HSF.IF.A.2

What is the result of g(2) using the function g(x) = 2x^2 + 7x + 5?

• 5

• 8

• 14

• 27

Tags

CCSS.HSF.IF.A.2

What is the result of f(3) - g(2)?

• 24

• 0

• -24

• -3

Tags

CCSS.HSF-BF.A.1B

What is the new function formed by adding f(x) and g(x)?

• 3x^2 + 7x - 6

• 2x^2 + 10x - 1

• 2x^2 + 7x + 5

• 3x^2 + 10x - 1

Tags

CCSS.HSA.APR.A.1

What is the result of f(x) - g(x)?

• 2x^2 - 4x + 11

• -2x^2 + 4x - 11

• 2x^2 + 4x + 11

• -2x^2 - 4x - 11

Tags

CCSS.HSF-BF.A.1B

What is the result of g(x) - f(x)?

• 2x^2 - 4x + 11

• 2x^2 + 4x + 11

• -2x^2 - 4x - 11

• -2x^2 + 4x - 11

Tags

CCSS.HSF-BF.A.1B

Why is the order important in subtraction of functions?

• Because subtraction is not commutative

• Because addition is not commutative

• Because multiplication is not commutative

• Because division is not commutative

Tags

CCSS.HSF-BF.A.1B