Understanding the Function f in Terms of b

The video tutorial explains how to derive a formula for the function f in terms of b, given the equation 4a + 7b = -52. It walks through the process of isolating the variable a by subtracting 7b from both sides and then dividing by 4. The final formula for f(b) is determined to be -13 - 7/4b, which allows for calculating the output a for any given input b.

What is the equation that the function f is based on?

• 4a + 7b = -52

• 5a + 8b = -60

• 2a + 6b = -30

• 3a + 5b = -40

What does the function f output for a given b?

• A value of b

• A value of 7b

• A value of a

• A value of 4a

What is the purpose of the function f?

• To find the value of 7b

• To find the value of 4a

• To satisfy the equation 4a + 7b = -52

• To find the value of b

What is the main goal when expressing a in terms of b?

• To find the value of a

• To express a as a function of b

• To find the value of b

• To eliminate b from the equation

What operation is performed to isolate a on one side of the equation?

• Adding 7b to both sides

• Subtracting 4a from both sides

• Multiplying both sides by 4

• Subtracting 7b from both sides

What is the next step after subtracting 7b from both sides?

• Add 4 to both sides

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 4 from both sides

What is the result of dividing -52 by 4?

• -12

• -13

• -14

• -15

What is the value of a when b is zero?

• 13

• 0

• -7/4

• -13

What is the formula for f(b) in terms of b?

• f(b) = -13 + 7/4b

• f(b) = -13 - 7/4b

• f(b) = 13 - 7/4b

• f(b) = 13 + 7/4b

What is the final expression for a in terms of b?

• a = -13 + 7/4b

• a = -13 - 7/4b

• a = 13 - 7/4b

• a = 13 + 7/4b