Evaluating Function Notation Effectively

The video tutorial introduces function notation, explaining how to represent functions using variables and how to convert between ordered pairs and function notation. It covers generating coordinates from linear equations and demonstrates evaluating functions with specific inputs. The tutorial also explores substituting variable expressions into functions, providing a comprehensive understanding of function operations.

What does the notation f(x) represent in function notation?

• The slope of the function

• The function itself

• The output value of the function

• The input value of the function

If f(2) = 7, what is the input and output in this function notation?

• Input is 7, Output is 2

• Input is 2, Output is 7

• Input is 2, Output is f

• Input is f, Output is 7

How do you convert the ordered pair (3, -4) into function notation?

• f(3) = -4

• f(-3) = 4

• f(-4) = 3

• f(3) = 4

What is the output when x = 0 in the function y = 3x + 2?

• 3

• 2

• 5

• 0

Which of the following is a correct coordinate point for the function y = 3x + 2 when x = 1?

• (1, 8)

• (1, 5)

• (1, 3)

• (1, 2)

What is the value of f(4) for the function f(x) = x^2 + 3?

• 16

• 19

• 7

• 12

For the function g(x) = √(x + 7), what is g(2)?

• 3

• 6

• 4

• 5

What is the output of h(-6) for the function h(x) = 3x - 1?

• -17

• -18

• -19

• -20

If f(x) = x^2 + 3, what is f(-2x)?

• 4x^2 + 3

• 4x + 3

• 2x^2 + 3

• 2x + 3

For the function g(x) = √(x + 7), what is g(x - 4)?

• √(x + 7)

• √(x + 3)

• √(x - 3)

• √(x - 7)