Checkpoint: Polynomial Parent Functions Solution

Explain the differences between the end behavior of a linear and cubic parent graph compared to quadratic parent graph.

Sample: The end behavior for a linear and cubic parent function has a range: $y \in ℝ$ . However, the end behavior of a quadratic parent function has a range: $y \geq 0$ .

Note

Comparing how parent functions look helps you make connections to domain, range, and end behavior.

Q: Why will the y-coordinates for the quadratic parent function be positive?

A: Because the square of a number is always positive.