Parent Functions and End Behavior

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 end behavior of a quadratic function as x approaches positive or negative infinity?

Back

As x → +∞, y → +∞ and as x → -∞, y → +∞.

Front

What is the parent function for absolute value?

Back

f(x) = |x|.

Front

Describe the end behavior of the absolute value function.

Back

As x → +∞, y → +∞ and as x → -∞, y → +∞.

Front

What type of function is represented by f(x) = √x?

Back

Square root function.

Front

What is the end behavior of the square root function?

Back

As x → +∞, y → +∞ and as x → 0, y → 0.

Front

Which parent function has the equation f(x) = ∛x?

Back

Cube root function.

Front

What is the end behavior of the cube root function?

Back

As x → +∞, y → +∞ and as x → -∞, y → -∞.

Front

Identify the parent function for exponential growth represented by f(x) = a⋅b^x where b > 1.

Back

Exponential function.