Domain and Range Lesson

Unit 2 Day 1
Function Notation & Domain

Please get out your notebook and take notes as you watch the videos/See examples

​f(2)=6 means "if 2 is input for x then then output is 6."

Example:
If f(x) = x+4
then f(2) means
f(2) = 2+4
f(2)=6

​In the graph:
f(2) = 4 represents
the point (2,4) is on the graph

Take notes as you watch this video!

​

Function Notation refresher

​Example of function notation:

​Try these on your own, check answers on the next slide

​Watch the video on the next slide and take notes

The slide after this video has a couple of problems to try on your own. The slide after that has the answers to check with.

​

​Watch the video:

​Remember: The two things we have to avoid is square - rooting a negative number, and dividing by zero.

Multiple Choice

Evaluate f(-2) if f(x) = x²+ 3

• -1

• 1

• 7

• -7

Math Response

Given h(x) = 5 - 9x, find h(8). 

Type answer here

Correct Answer: -67

Deg^°

Rad

Multiple Choice

What is f(1)?

• 1

• 5

• 0

• 4

Multiple Choice

What is the range?

• -4 < x ≤ 5

• -4 ≤ x < 5

• -3 < y < 3

• -3 ≤ y ≤ 5

Multiple Choice

What is the domain of the graph?

• -7 ≤ x < 5

• -3 ≤ x < 1

• -3 ≤ y < 1

• -7 ≤ y < 5

Multiple Choice

f(x) = $$x^2+4x\ -\ 1$$

Find f(x+2)

• $$x^2+8x\ +3$$

• $$2x^2+4x+3$$

• 11

• Not sure

Dropdown

What is the range of the graph?

Select answer

Multiple Choice

$$f\left(x\right)=\frac{1}{x-5}$$  Find the domain of

• $$\left(-\infty,5\right)U\left(5,\infty\right)$$  

• $$\left[5,\infty\right)$$  

• $$\left(-\infty,5\right]$$  

• $$\left(-\infty,\infty\right)$$  

Multiple Choice

• All real numbers

• [0, ∞)

• (-∞, 0) U (0, ∞)

• (-∞, 0]

Multiple Choice

Find the domain of $$g\left(x\right)=\sqrt{2x-4}$$  

• $$\left(-\infty,2\right)\left(2,\infty\right)$$  

• $$\left[2,\infty\right)$$  

• $$\left(-\infty,2\right]$$  

• $$\left(-\infty,\frac{1}{2}\right)\left(\frac{1}{2},\infty\right)$$