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

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

Back

Absolute Value 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

What is the parent function for quadratic equations?

Back

f(x) = x².

Front

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

Back

Exponential Function.

Front

What is the y-intercept of a linear function?

Back

The point where the graph of the function crosses the y-axis, represented as (0, b).

Front

What is the shape of the graph of a quadratic function?

Back

A parabola.

Front

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

Back

The domain is x ≥ 0.

Front

What is the range of the absolute value function f(x) = |x|?

Back

The range is y ≥ 0.

Front

How does the graph of an exponential function behave as x increases?

Back

It increases rapidly, approaching infinity.