Pre-Calculus
Unit 1: Functions Day 3 Warm Up
Name:______________________
Date:_________________
1. Graphed even function have symmetry with respect to what?__________________________
2. Graphed odd function have symmetry with respect to what?_______________
For the following problems, determine if the relation is an even, odd, or neither function.
3.
6. 𝑓(𝑥) =
4.
𝑥
(𝑥 2 −1)
5.
7. 𝑓(𝑥) = 𝑥 2 − 2𝑥
Pre-Calculus
Unit 1: Functions Day 3
Name:______________________
Date:_________________
Today’s Objective: We will determine Domain, Range, and Min & Max values of a function. We will
also review transformations of parent functions.
Connecting Graphs to Equations: Are there any issues?
Practice: Determine the domain and intercepts of each of the following:
1. 𝑦 = 5𝑥 + 2
4. 𝑦 =
(𝑥+5)
𝑥
2. 𝑦 =
4𝑥
𝑥−3
3. 𝑦 = √𝑥 + 2
The highest point on the graph is called the __________________ and the lowest is _______________.
What is the maximum?
____________
What is the minimum?
_____________
Can there is more than one minimum or maximum? __________
Parent Functions!!!
Graph each of the following without a calculator:
1) y    x  2   5
2) y  x  5  2
3. 𝑦 = ‖𝑥 + 3‖
4) f ( x)   x  3  4
5) f ( x)  2 x  4  3
6) y  3  x  2   4
2
3