[Video] Functions and Their Graphs

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We go through common prerequisite topics about functions and their graphs. We look at evaluation, domain, and range with regards to graphs.

The following videos will cover topics about functions and their graphs:

Introduction and Question 1: Representations of Functions and Evaluation Using Graphs

(Click the arrow to the right to see the Introduction video and first question.)

(Click the arrow to the right to see the question posed at the end of the video.)

What is $f(2)$ ?

$0$ $1$ $2$ $4$ $-1$ and $2$ $-2.75, 0.33,$ and $1.5$

(Click the arrow to the right to see a short refresher.)

Refresher 1

(Click the arrow to the right to see an example.)

Example 1

Question 2: Solving Equations with a Graph

(Click the arrow to the right to see the second question.)

(Click the arrow to the right to see the question posed in the video.)

What are the solutions to $f(x)=0$ ?

$-2$ $0$ $1$ $2$ $-2$ and $0$ $-2$ and $1$

(Click the arrow to the right to see a short refresher.)

Refresher 2

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Example 2

Question 3: Domain of a Function Given by a Graph

(Click the arrow to the right to see the third question.)

(Click the arrow to the right to see the question posed in the video.)

What is the domain of $g(x)$ ?

$[-1,1)\cup (1,3]\cup [4,6]$ $[-1,3]\cup [4,6]$ $\{2\} \cup [6,15)$ $\{2\} \cup [9,12]$ $\{2\}\cup [9,15)$ $\{2\} \cup [6,9)$

(Click the arrow to the right to see a short refresher.)

Refresher 3

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Example 3

Question 4: Range of a Function Given by a Graph

(Click the arrow to the right to see the fourth question.)

(Click the arrow to the right to see the question posed in the video.)

What is the range of $g(x)$ ?

$[-1,1)\cup (1,3]\cup [4,6]$ $[-1,3]\cup [4,6]$ $\{2\} \cup [6,15)$ $\{2\} \cup [9,12]$ $\{2\}\cup [9,15)$ $\{2\} \cup [6,9)$

(Click the arrow to the right to see a short refresher.)

Refresher 4

(Click the arrow to the right to see an example.)

Example 4