Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.

Front

Name the parent function represented by the equation f(x) = x^2.

Back

Quadratic function.

Front

What is the general form of a linear function?

Back

f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Identify the parent function for f(x) = |x|.

Back

Absolute value function.

Front

What type of function is represented by f(x) = a⋅b^x?

Back

Exponential function.

Front

What is the parent function for f(x) = √(x)?

Back

Square root function.

Front

Which parent function is represented by f(x) = ∛(x)?

Back

Cube root function.

Front

What is the characteristic shape of a cubic function?

Back

A cubic function has an S-shaped curve that can extend in both positive and negative directions.

Front

How does the graph of a quadratic function f(x) = x^2 look?

Back

It is a parabola that opens upwards with its vertex at the origin (0,0).

Front

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

Back

The domain is x ≥ 0.