[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.)

What is $f(2)$ ?

Question 2: Solving Equations with a Graph

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

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

Question 3: Domain of a Function Given by a Graph

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

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

Question 4: Range of a Function Given by a Graph

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

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

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factorial	$\blue{[?]}!$
exp	${\blue{[?]}}^{\blue{[?]}}$
sub	${\blue{[?]}}_{\blue{[?]}}$
frac	$\dfrac{\blue{[?]}}{\blue{[?]}}$
int	$\displaystyle\int{\blue{[?]}}d\blue{[?]}$
defi	$\displaystyle\int_{\blue{[?]}}^{\blue{[?]}}\blue{[?]}d\blue{[?]}$
deriv	$\displaystyle\frac{d}{d\blue{[?]}}\blue{[?]}$
sum	$\displaystyle\sum_{\blue{[?]}}^{\blue{[?]}}\blue{[?]}$
prod	$\displaystyle\prod_{\blue{[?]}}^{\blue{[?]}}\blue{[?]}$
root	$\sqrt[\blue{[?]}]{\blue{[?]}}$
vec	$\left\langle \blue{[?]} \right\rangle$
mat	$\left(\begin{matrix} \blue{[?]} \end{matrix}\right)$
*	$\cdot$
infinity	$\infty$
arcsin	$\arcsin\left(\blue{[?]}\right)$
arccos	$\arccos\left(\blue{[?]}\right)$
arctan	$\arctan\left(\blue{[?]}\right)$
sin	$\sin\left(\blue{[?]}\right)$
cos	$\cos\left(\blue{[?]}\right)$
tan	$\tan\left(\blue{[?]}\right)$
sec	$\sec\left(\blue{[?]}\right)$
csc	$\csc\left(\blue{[?]}\right)$
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ln	$\ln\left(\blue{[?]}\right)$
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omicron	$\omicron$
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psi	$\psi$
omega	$\omega$
Gamma	$\Gamma$
Delta	$\Delta$
Theta	$\Theta$
Lambda	$\Lambda$
Xi	$\Xi$
Pi	$\Pi$
Sigma	$\Sigma$
Phi	$\Phi$
Psi	$\Psi$
Omega	$\Omega$

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