Parent Functions

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 parent function of linear functions?

Back

f(x) = x

Front

What is the parent function of quadratic functions?

Back

f(x) = x²

Front

What is the parent function of absolute value functions?

Back

f(x) = |x|

Front

What is the parent function of square root functions?

Back

f(x) = √x

Front

What is the parent function of cubic functions?

Back

f(x) = x³

Front

What is the parent function of exponential functions?

Back

f(x) = a⋅b^x, where a > 0 and b > 1.

Front

How does the graph of f(x) = |x| behave?

Back

The graph forms a V shape, opening upwards, with the vertex at the origin (0,0).

Tags

CCSS.HSF-IF.C.7D

Front

What is the domain of the square root function f(x) = √x?

Back

The domain is [0, ∞), meaning x must be greater than or equal to 0.

Front

What is the range of the quadratic function f(x) = x²?

Back

The range is [0, ∞), meaning the output values are always non-negative.