Evaluating Functions and Function Notation

The video tutorial explains how to evaluate functions f, G, and H using different inputs. It covers the use of variables, order of operations, and absolute values. The tutorial provides examples for each function, demonstrating how to substitute inputs and calculate outputs. It emphasizes the importance of using parentheses and following mathematical rules to ensure correct results.

What are the input variables used for the functions f, G, and H respectively?

• X, T, A

• A, X, T

• T, A, X

• X, A, T

What is the output of f(3) if f(x) = x^2 + 4?

• 7

• 9

• 15

• 13

What is the output of f(-5) if f(x) = x^2 + 4?

• 21

• 25

• 29

• 31

What is the first step in evaluating G(-1) if G(t) = 8 - 4| -3t - 1 |?

• Subtract 1 from -3

• Multiply -3 by -1

• Take the absolute value of -3

• Subtract 4 from 8

What is the output of G(-1) if G(t) = 8 - 4| -3t - 1 |?

• 4

• 2

• 6

• 0

What is the output of G(3/2) if G(t) = 8 - 4| -3t - 1 |?

• -8

• -14

• -12

• -10

What is the first step in evaluating H(-2) if H(a) = -a^3 + 2a^2 - 5a?

• Square -2

• Cube -2

• Multiply -2 by 3

• Subtract 5 from -2

What is the output of H(-2) if H(a) = -a^3 + 2a^2 - 5a?

• 24

• 26

• 28

• 30

What is the output of H(4) if H(a) = -a^3 + 2a^2 - 5a?

• -52

• -50

• -48

• -46

What is the value of 4 squared in the function H(a) = -a^3 + 2a^2 - 5a?

• 16

• 14

• 18

• 12