Functions

Front

What are independent quantities in a function?

Back

Independent quantities are the input values of a function, often represented as 'x' in the equation.

Front

What is the dependent quantity in a function?

Back

The dependent quantity is the output value of a function, often represented as 'y' in the equation.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for the input x.

Front

How do you find f(5) if f(x) = 2x + 25?

Back

Substitute 5 for x: f(5) = 2(5) + 25 = 35.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.