Function Notation and Linear Equations

The video tutorial explains how to write equations using function notation. It begins with an introduction to function notation and demonstrates how to substitute y with function notation in equations already in slope-intercept form. The tutorial then covers rewriting equations that are not in the correct form to use function notation, including simplifying and converting them. Finally, a concluding example is provided to reinforce the concepts taught.

What is the first step in writing an equation using function notation?

• Identify the slope and y-intercept

• Substitute y with f(x)

• Convert to standard form

• Find the x-intercept

In the equation y = 2x + 4, what does f(x) represent?

• The slope of the line

• The y-intercept

• The function of x

• The x-intercept

How do you convert y = -3x - 2 to function notation?

• f(x) = 3x + 2

• f(x) = -3x - 2

• f(x) = 2x - 3

• f(x) = -2x + 3

What is the first step in handling an equation like 2x + 4y = 18?

• Multiply both sides by 4

• Divide both sides by 2

• Subtract 2x from both sides

• Add 2x to both sides

After subtracting 2x from both sides in 2x + 4y = 18, what is the next step?

• Add 4 to both sides

• Multiply by 2

• Divide by 4

• Subtract 18 from both sides

What is the simplified form of y = -2x + 18 / 4?

• y = -0.5x + 4

• y = -2x + 4

• y = -2x + 4.5

• y = -0.5x + 4.5

How do you express y = -0.5x + 4.5 in function notation?

• f(x) = 0.5x - 4.5

• f(x) = -0.5x + 4.5

• f(x) = 2x - 4.5

• f(x) = -2x + 4.5

What is the first step in converting an equation not in y = mx + b form?

• Subtract x from both sides

• Add x to both sides

• Divide by y

• Multiply by y

In the equation y = 5x + 10, what does the 5 represent?

• The y-intercept

• The function value

• The slope

• The x-intercept

How do you express y = 5x + 10 in function notation?

• f(x) = 10x + 5

• f(x) = 5x - 10

• f(x) = 10x - 5

• f(x) = 5x + 10