Function Notation

What is the primary purpose of function notation?

• To calculate derivatives

• To graph linear equations

• To represent functions in a specific format

• To solve equations

Which of the following is a correct way to name a function?

• g(y)

• y(x)

• x(f)

• f(x)

If f(x) = -3x + 8, what is f(3)?

• 0

• 9

• -1

• 17

What does the ordered pair (3, -1) represent in function notation?

• The slope of the function

• The y-intercept of the function

• An input-output pair for the function

• The domain of the function

In the function d(t) = 65t, what does d(0) = 0 signify?

• The distance is 65 miles

• The time is 65 hours

• No distance is traveled at time zero

• The function is undefined

If d(t) = 65t, what is the distance traveled after 3 hours?

• 0 miles

• 65 miles

• 195 miles

• 130 miles

How do you solve for x if f(x) = 6 and f(x) = 1/3x - 4?

• x = 10

• x = 30

• x = 18

• x = 12

What is the value of x if f(x) = 8 and f(x) = -1/4x + 2?

• x = 24

• x = -24

• x = 8

• x = -8

What is the y-intercept of the function f(x) = 3x + 3?

• 3

• -3

• 0

• 1

Which biker takes more time to reach their destination if Biker A finishes in 3 hours and Biker B in 6 hours?

• Cannot be determined

• Both take the same time

• Biker A

• Biker B