Exploring Function Notation in Relations and Functions

The video tutorial covers the basics of functions and function notation, explaining how to read and interpret f(x) as a function of x. It provides examples of evaluating functions by substituting numbers and expressions for variables. The tutorial also includes instructions for assignments, emphasizing the importance of understanding function evaluation and the order of operations.

What does f(x) represent in function notation?

• f is a function of x

• f divided by x

• f plus x

• f times x

What is the first step in evaluating a function?

• Add the function to itself

• Substitute the given value for the variable

• Multiply the function by the variable

• Divide the function by the variable

If f(x) = 5x + 35, what is f(-1)?

• 25

• 40

• 35

• 30

If f(x) = 5x + 35, what is f(3)?

• 50

• 45

• 55

• 60

What is the result of evaluating f(x) = 5x + 35 at x = x - 3?

• 5x + 35

• 5x + 25

• 5x + 20

• 5x - 15

Why does the last example have an x in the answer?

• Because we added x to the function

• Because we did not substitute anything for x

• Because we substituted an expression for x

• Because we substituted a number for x

What is the assignment for section 2.1 on function notation?

• Page 59, 23 to 29 even and page 60, 50 to 54 all

• Page 59, 23 to 29 all and page 60, 50 to 54 odd

• Page 59, 23 to 29 odd and page 60, 50 to 54 odd

• Page 59, 23 to 29 odd and page 60, 50 to 54 all

What should you do if a number is in front of f(x) in the assignment?

• Divide the function by the number

• Add the number to the function

• Subtract the number from the function

• Multiply the function by the number

If you have -2f(x) and f(x) = 5x + 35, what is the result?

• 10x + 70

• 10x - 70

• -10x - 70

• -10x + 70

What should you do if the negative two is in front of f(3)?

• Evaluate f(3) and then divide by -2

• Evaluate f(3) and then multiply by -2

• Evaluate f(3) and then add -2

• Evaluate f(3) and then subtract -2