Parent functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, representing the basic shape of the graph.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x².

Front

What is the parent function of an absolute value function?

Back

The parent function of an absolute value function is f(x) = |x|.

Front

What is the parent function of a cubic function?

Back

The parent function of a cubic function is f(x) = x³.

Front

What is the parent function of a square root function?

Back

The parent function of a square root function is f(x) = √x.

Front

What is the parent function of an exponential function?

Back

The parent function of an exponential function is f(x) = a⋅b^x, where a > 0 and b > 1.

Front

What is the range of a quadratic function?

Back

The range of a quadratic function is all y values, from the vertex to positive infinity.

Front

What is the domain of a square root function?

Back

The domain of a square root function is all x values greater than or equal to 0.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and form a straight line, while quadratic functions have a variable rate of change and form a parabola.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.