Representing Functions

What is the equation for the amount of money left on a bus pass after x rides if it starts with $60 and deducts $1.50 per ride?

• @@y = 60 - 1.5x@@

• @@y = -1.5x + 60@@

• @@y = 60 + 1.5x@@

• @@y = 1.5x - 60@@

What is the range of a function?

• The set of all possible input values (x) that the function can accept.

• The set of all possible output values (y) that the function can produce.

• The difference between the maximum and minimum values of the function.

• The slope of the function at a given point.

How do you represent the remaining gallons in a pool draining at a constant rate?

• @@f(x) = 9,293 - 4x@@

• @@f(x) = 9,293 + 4x@@

• @@f(x) = 4x - 9,293@@

• @@f(x) = 4 - 9,293x@@

How can you determine if a function is increasing or decreasing?

• A function is increasing if the slope is negative (m < 0) and decreasing if the slope is positive (m > 0).

• A function is increasing if the slope is positive (m > 0) and decreasing if the slope is negative (m < 0).

• A function is increasing if the slope is zero (m = 0) and decreasing if the slope is positive (m > 0).

• A function is increasing if the slope is positive (m > 0) and decreasing if the slope is constant (m = 0).

What is the domain of a function?

• The set of all possible output values (y) for which the function is defined.

• The set of all possible input values (x) for which the function is defined.

• The range of values that the function can take.

• The maximum and minimum values of the function.

What is the y-intercept in a linear function?

• The value of y when x is 0; it represents the starting point of the function on the y-axis.

• The value of x when y is 0; it represents the starting point of the function on the x-axis.

• The slope of the line; it indicates the steepness of the function.

• The point where the line crosses the x-axis; it indicates the value of y when x is at its maximum.

How do you calculate the total height of a building with n floors and an antenna?

• @@h(n) = 3.9n + 15.85@@

• @@h(n) = 3.5n + 20@@

• @@h(n) = 4.0n + 10@@

• @@h(n) = 3.0n + 25@@

What is the monthly cost function for a family cell phone plan with a base charge and additional members?

• @@y = 10x + 40@@

• @@y = 15x + 30@@

• @@y = 20x + 20@@

• @@y = 5x + 50@@

What does it mean for a function to be constant?

• A constant function has the same output value regardless of the input; it can be represented as y = c, where c is a constant.

• A constant function changes its output value based on the input.

• A constant function is one that has no output value at all.

• A constant function is defined only for integer inputs.

What is a real-world example of a linear function?

• The relationship between time and distance traveled at a constant speed is a linear function.

• The relationship between temperature and ice cream sales is a linear function.

• The relationship between the number of hours studied and exam scores is a linear function.

• The relationship between the amount of rainfall and the growth of a tree is a linear function.