1. Warm-Up #3 𝐺𝑖𝑣𝑒𝑛 ℎ 𝑥 = 𝑥 2 𝑓𝑜𝑟 𝑥=−4 𝐺𝑖𝑣𝑒𝑛 𝑧 𝑥 = −𝑥 2 +5 𝑓𝑜𝑟 𝑥=𝑎
𝐺𝑖𝑣𝑒𝑛 ℎ 𝑥 = 𝑥 2 𝑓𝑜𝑟 𝑥=−4
𝐺𝑖𝑣𝑒𝑛 𝑧 𝑥 = −𝑥 2 +5 𝑓𝑜𝑟 𝑥=𝑎
𝐺𝑖𝑣𝑒𝑛 𝑔 𝑟 =3𝑟−5 𝑓𝑜𝑟 𝑟=𝑚−3

2. Homework
1) Determine What is a Function worksheet 2) Syllabus

3. Lesson 5.05 Function Inputs and Outputs

4. Domain The set of inputs of the function X values Inputs
Independent variable

5. Range The set of outputs to a function produces Y values Outputs
Dependent variable

6. Different ways of writing a function
y = 3x + 4
f(x) = 3x + 4
x → 3x + 4

7. Look at Table Does the table define a function? Explain.
State the domain and range if it is a function. x y
Domain
range -3 5 1 4 3 2 -5 8

8. Function?
Look at the function. Is there any number x for which 𝟏 𝒙−𝟕 does not make sense?
Recap: look at the denominator. What makes a fraction undefined?
Step 1: set the denominator equal to 0
Step 2: solve for the variable
Step 3: state the domain

9. Practice Problems x → 1 𝑥+2 f x = 13𝑥+5 2𝑥+1
Find the domain of each function
x → 1 𝑥+2
f x = 13𝑥+5 2𝑥+1

10. Function?
Look at the function. Is there any number x for which 𝒈 𝒙 = 𝒙−𝟐 does not make sense?
Recap: you cannot have a NEGATIVE number in the square root

11. Practice Problems
Find the domain of each function
x → −2𝑥
g x = 𝑥+4