Exploring Functions and Function Notation

What is the independent variable in the relationship between a plane's height and time since takeoff?

• Distance

• Speed

• Time

• Height

If the height of a plane 125 seconds after takeoff is 400 feet, which point represents this on the graph?

• (125, 125)

• (125, 400)

• (400, 125)

• (400, 400)

Why is time not a function of the plane's height?

• Time can have multiple values for one height

• Height varies too much

• Time is always constant

• Height cannot be measured accurately

What does the function notation 'f(x)' typically represent?

• The input of function f

• The output of function f

• The name of function f

• The graph of function f

If 'f' is a function that calculates taxi fare, what does 'f(2)' represent?

• Fare at 2 PM

• 2 dollars fare

• Fare for 2 miles

• Fare for 2 taxis

What is the fare for a 2-mile ride with Friendly Rides, according to function f?

• $2.00

• $5.70

• $4.25

• $3.50

How does function notation help in describing relationships?

• By calculating exact values

• By simplifying communication

• By naming the variables

• By providing a graph

What is the correct interpretation of 'f(x)' in the context of taxi fares?

• Number of taxis

• Distance in miles

• Time of travel

• Cost in dollars for x miles

What does 'g of 2 equals 4.25' imply about the function g?

• It records speed

• It measures distance

• It determines cost for 2 miles

• It calculates time

Which function represents the cost of a ride with Great Cabs?

• Function f

• Function x

• Function g

• Function h