Evaluating and Analyzing Functions

This video is the second in a series on college entrance exam functions, focusing on evaluating functions. It covers basic to advanced function evaluation problems, including determining if functions are even, odd, or neither. The video provides examples and solutions to various function-related questions, helping students understand the process of evaluating functions. The video concludes with a preview of the next topic, composite functions.

What is the main focus of the second video in the series?

• Basic types of function questions

• Composite functions

• Advanced calculus problems

• Evaluating functions in college entrance exams

In the function example, what does the function do to a smiley face input?

• Squares it and adds two

• Turns it into a frown

• Subtracts one

• Multiplies it by three

Why do people often get confused with evaluating functions?

• They don't understand algebra

• They are not familiar with calculus

• They struggle with inputs other than X

• They find functions boring

What is the output of the function F(x) = x^2 + 3x + 2 when x = 5?

• 42

• 30

• 35

• 50

In question 4, what is the result of 2 * G(4) - H(π/2)?

• 25

• 20

• 15

• 19

For question 6, what is the value of B when 3B is the input?

• 32/6

• 4

• 16/3

• 8/3

What is the value of C in question 9 when H(3) = 10?

• 0

• 2

• -1

• 1

How do you determine if a function is even, odd, or neither?

• Both A and B

• By checking if F(-x) = 0

• By checking if F(-x) = -F(x)

• By checking if F(-x) = F(x)

What is F(10 - M) if F(2M) = 13 and M = 4?

• 12

• 6

• 9

• 15

In question 19, what is the function F(x) if F(x+2) = (x+2)^2 + 4?

• x^2 + 6

• x^2 + 4

• x^2 + 8

• x^2 + 2