Home > CALC > Chapter 12 > Lesson 12.1.2 > Problem12-20

12-20.

Examine the graphs of $p _ { 3 } ( x ) = 1 + x + \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 3 } } { 6 }$ and $q _ { 3 } ( x ) = 3 + ( x - 5 ) + \frac { ( x - 5 ) ^ { 2 } } { 2 } + \frac { ( x - 5 ) ^ { 3 } } { 6 }$.

1. What is the relationship between the graphs of $p_3 (x)$ and $q_3 (x)$ ?

2. Quick! You are a contestant on "The Strongest Link" and you must name the coordinates of some point on $q_3 (x)$. What do you say?