Evaluating Function Notation and Its Meaning

The video tutorial introduces function notation, explaining the difference between expressions like f(3) and f(x) = 3. It provides examples of solving these expressions, demonstrating how to evaluate functions at specific x values and solve for x when f(x) equals a given y value. The tutorial emphasizes understanding function notation as a way to express y in terms of x, and guides viewers through step-by-step examples to reinforce these concepts.

What does f(x) represent in function notation?

• A specific value of x

• An undefined term

• A type of mathematical operation

• The output of the function

What does it mean when we say f(x) = y?

• f(x) is another way to represent y

• x and y are interchangeable

• y is always zero

• f(x) and y are unrelated

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

• 9

• 11

• 14

• 8

How do you solve for x when given f(x) = 3 and the function f(x) = 3x + 5?

• Divide 3 by 3 and subtract from 5

• Subtract 5 from 3 and divide by 3

• Multiply 3 by 3 and add 5

• None of the above

How do you isolate x in the equation f(x) = 3x + 5 when f(x) = 3?

• None of the above

• Add 5 to both sides and divide by 3

• Subtract 5 from both sides and divide by 3

• Multiply both sides by 3

What is the value of f(10) if f(x) = x/2 + 5?

• 7.5

• 15

• 10

• 5

If f(x) = x/2 + 5 and f(x) = 10, what is the value of x?

• 20

• 15

• 10

• 5

What is the correct interpretation of f(10) = 10 when f(x) = x/2 + 5?

• When x is 10, the output is 10

• When x is 5, the output is 10

• When x is 10, the output is 5

• None of the above

What is the result of f(33) if f(x) = 3 - 15x?

• -15

• -492

• 18

• 492

If the output of the function 3 - 15x is 33, what is the value of x?

• -1.1

• 2

• 1.1

• -2