Exploring Function Notation and Evaluation

The video tutorial introduces function notation, explaining its significance in representing functions. It covers the concept of F of X, where F of X is the output from applying a function rule to input X. The tutorial provides examples, such as F of X = 2X + 3, to demonstrate how to find function values through substitution. It also explores more complex scenarios, including variable expressions and different function notations like G of T and H of Y.

What is the special notation used to indicate a function?

• Function notation

• Equation notation

• Variable notation

• Graph notation

In function notation, what does F(x) represent?

• The function rule

• The output value

• The graph of the function

• The input value

If F(x) = 2x + 3, what is F(4)?

• 7

• 11

• 10

• 8

What point on the graph does F(4) = 11 represent?

• (4, 11)

• (11, 4)

• (2, 8)

• (8, 2)

For the function F(x) = x^2 - 5x + 6, what is F(4)?

• 2

• 4

• 6

• 8

For the function F(x) = x^2 - 5x + 6, what is F(-3)?

• 24

• 15

• 9

• 30

In the function G(t), what is the output if the input is -3?

• -6

• -27

• -15

• -9

What does G(3x) represent in the function G(t)?

• A real value

• Another function

• A constant

• A graph

For the function H(y) = 2y^2 - y + 7, what is H(m-2)?

• 2m^2 - 8m + 7

• 2m^2 - 9m + 7

• 2m^2 - 8m + 17

• 2m^2 - 9m + 17

What is the first step in simplifying H(m-2)?

• Combine like terms

• Distribute the constants

• Multiply the quantity by itself

• Add the constants