Parent Functions_Spring '25

Front

What is a parent function?

Back

A parent function is the simplest form of a function type that can be transformed to create more complex functions.

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

Which parent function has a domain of all real numbers?

Back

Linear function, quadratic function, and absolute value function have a domain of all real numbers.

Front

Which parent function does not have a domain of all real numbers?

Back

The square root function does not have a domain of all real numbers; it is defined only for non-negative values.

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

What is the range of the absolute value function?

Back

The range of the absolute value function is all non-negative real numbers, [0, ∞).

Front

What is the graph of a quadratic function?

Back

The graph of a quadratic function is a parabola that opens upwards or downwards.

Front

What type of function is represented by y = |x|?

Back

The function y = |x| is an absolute value function.

Front

What type of function is represented by y = x^2?

Back

The function y = x^2 is a quadratic function.

Front

What type of function is represented by y = a⋅b^x?

Back

The function y = a⋅b^x is an exponential function.