Understanding Functions and Variables

What is a function in mathematical terms?

• A relation where each input has multiple outputs

• A relation where each input has exactly one output

• A relation with no specific pattern

• A relation where outputs are independent of inputs

In the equation M = 20n, what does the variable 'n' represent?

• The number of lawns mowed

• The final score

• The amount of money earned

• The total cost

In the equation D = 4.5H, which variable is independent?

• D, the number of miles

• H, the number of hours

• Both D and H

• Neither D nor H

How do you find the value of a function for a specific input?

• By adding the input to the function

• By substituting the input into the function

• By dividing the input by the function

• By multiplying the input by the function

What is the result of F(2) if F(x) = x - 4?

• 4

• 0

• -2

• 2

What is the domain in a function table?

• The set of all output values

• The set of all input values

• The set of all dependent variables

• The set of all constant values

In a function table, what does the range represent?

• The set of all input values

• The set of all output values

• The set of all constant values

• The set of all independent variables

In a sales function F(n) = 4.95n, what does 'n' represent?

• The total cost

• The price per stamp

• The number of stamps sold

• The total sales

What is the total sales value for 5 stamps if each costs $4.95?

• $24.75

• $20.00

• $25.00

• $22.50

Which of the following is a valid range for the function F(n) = 4.95n?

• Any real number

• Multiples of 4.95

• Negative numbers

• Fractions of 4.95