Exploring Linear Functions and Function Notation

This video tutorial introduces function notation, explaining how it differs from traditional y notation. It covers evaluating functions by substituting input values and plotting the resulting points on a graph. The tutorial also delves into graphing linear functions, focusing on understanding the slope and y-intercept. It explains the slope-intercept form of linear equations and demonstrates how to solve equations for y to identify the slope and intercept, providing practical examples throughout.

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

• The input value

• The slope of the function

• The y-intercept of the function

• The output value

If f(x) = 3x - 5, what is f(3)?

• 4

• 2

• 9

• 1

What is the ordered pair for the function f(x) = 3x - 5 when x = -1?

• (-1, -8)

• (-1, 8)

• (-1, -2)

• (-1, 4)

Which of the following points is on the line of the function f(x) = 3x - 5?

• (3, 4)

• (2, 1)

• (1, 2)

• (4, 3)

What is the slope of the line represented by the function f(x) = 3x - 5?

• 5

• -5

• 3

• -3

In the equation y = mx + b, what does 'b' represent?

• The input value

• The x-intercept

• The y-intercept

• The slope

For the equation y = -2x - 3, what is the y-intercept?

• -2

• 3

• 2

• -3

How do you find the slope of the line y = -3x + 5?

• By identifying the coefficient of x

• By identifying the constant term

• By setting x to 0

• By setting y to 0

What is the slope of the line represented by the equation y = 5/2x - 7.5?

• 5

• 5/2

• 2

• -7.5

If you have the equation 2/5y = x - 3, what is the first step to solve for y?

• Divide both sides by 2/5

• Add 3 to both sides

• Subtract x from both sides

• Multiply both sides by 5/2