Function Evaluation and Notation Concepts

This video tutorial covers the basics of function notation, explaining how to use f(x) instead of y. It demonstrates evaluating function expressions, solving for x when given f(x) or g(x), and interpreting graphs using function notation. The tutorial also includes practical applications through word problems, helping students understand how to apply these concepts in real-world scenarios.

What is the primary difference between f(x) and y in function notation?

• f(x) is used for input, y is used for output.

• f(x) and y are interchangeable.

• f(x) is a function, y is a variable.

• f(x) is a constant, y is a variable.

In function notation, what does the number inside the parentheses represent?

• A constant

• The variable x

• The variable y

• The function value

If g(x) = -3x + 1, what is g(10)?

• -29

• 29

• -31

• 31

How do you find the ordered pair from a function evaluation?

• Both x and y are inputs

• Both x and y are outputs

• x is the input, y is the function value

• x is the function value, y is the input

What is the result of f(3) if f(x) = x^2 + 7?

• 10

• 14

• 16

• 9

When given g(x) = 16, what does this value represent?

• y

• x

• A constant

• A function

How can you solve for x when given g(x) = 16?

• Substitute 16 for y

• Use a calculator to solve the equation

• Substitute 16 for x

• Use trial and error

What does the ordered pair (x, y) represent in function notation?

• x is the output, y is the input

• Both x and y are inputs

• x is the input, y is the output

• Both x and y are outputs

In a graph, if f(5) = 2, what does this mean?

• When x is 5, y is 2

• When y is 5, x is 2

• x and y are both 5

• x and y are both 2

How do you interpret s(4) = 32 in a word problem context?

• In 32 days, 4,000 people are affected

• In 4 days, 32,000 people are affected

• In 32 days, 4 people are affected

• In 4 days, 32 people are affected