Families of Functions Flashcard

Front

What is a quadratic function?

Back

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation and simplify.

Front

What is the general form of a linear function?

Back

Front

What characterizes an exponential function?

Back

Front

How do you find the y-intercept of a function?

Back

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as the input values increase, the output values decrease.

Front

What is the formula for finding the vertex of a quadratic function?

Back

Front

How do you determine if a function is linear from a word problem?

Back

A function is linear if it describes a constant rate of change, such as a fixed fee per unit or a consistent increase or decrease.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; a positive slope means the function is increasing, while a negative slope means it is decreasing.