F.IF.2, 5

Front

What is the domain of a function?

Back

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

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {-4, 0, 1, 2}.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

For the function f(x) = 600 - 15x, what does f(x) represent?

Back

f(x) represents the number of gallons of water left in the tank after x minutes.

Front

What is the average rate of change?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Front

How do you calculate the average rate of change from x = 3 to x = 6 for f(x) = 600 - 15x?

Back

Average rate of change = (f(6) - f(3)) / (6 - 3) = (-45 - -15) / 3 = -15 gallons per minute.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What is an ordered pair in a function?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where x is the input and y is the output.

Front

What is the significance of the x-values in a function's ordered pairs?

Back

The x-values represent the inputs or independent variables of the function.

Front

What is the significance of the y-values in a function's ordered pairs?

Back

The y-values represent the outputs or dependent variables of the function.