Parent Functions & Graphs of Piecewise

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for more complex functions.

Front

What are piecewise functions?

Back

Piecewise functions are functions that are defined by different expressions or rules for different parts of their domain.

Front

How do you determine the range of a piecewise function?

Back

To determine the range, analyze each piece of the function and identify the output values (y-values) for the given input values (x-values).

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

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

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, identify which piece of the function applies to that input value and use the corresponding expression.

Front

What is the absolute value function?

Back

The absolute value function, denoted as f(x) = |x|, outputs the non-negative value of x.

Front

What is the graph of a linear function?

Back

The graph of a linear function is a straight line, which can be represented in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.