Understanding Function Properties

What is the general form of the function f(x) as defined in the video?

• f(x) = ax + b

• f(x) = ax^3 + b

• f(x) = ax^3 + bx

• f(x) = ax^2 + b

If f(0) = 2, what does this tell us about the constant b?

• b = 3

• b = 2

• b = 1

• b = 0

What is the value of f(0) in terms of a and b?

• 0

• a + b

• b

• a

What equation is formed when substituting f(2) = 3 into the function?

• 8a + 2 = 3

• 2a + b = 3

• 8a + b = 3

• 4a + b = 3

How do you solve for a when given the equation 8a + 2 = 3?

• Multiply both sides by 8, then subtract 2

• Add 2 to both sides, then divide by 8

• Divide both sides by 8, then add 2

• Subtract 2 from both sides, then divide by 8