WPP #6

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Student Problem #4

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Student Problem #3

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Syudent Video #3

This video covers a problem from Unit H Concept 7 which is finding the log from approximations. We created are own problem.
What does the viewer need to pay special attention to in order to understand the concept?
The viewer must know that  another clue that can work is the log3 3=1. Also, remember to first put the logs as an equation before plugging in the vales for the answer.

Unit G Summary Question # 10 Range of a Rational Function

While the domain of a rational function depends on DIVAH, what do you think the range of a rational function depends on? Give an example.

• The range of a rational function depends on the horizontal asymptote and its holes. (RIHAH). Just as the vertical asymptotes we the "boundaries" of the domain, the horizontal asymptotes will be the boundary of the range. Holes in the graph are still considered the bad values.

Unit G Summary Question #9 X-intecepts of Rational Functions

 

Describe how to find the x-intercepts of a rational function. Include both the long way and the shortcut way, explaining why the shortcut makes mathematical sense.

• To find the x-intercept of a rational function, we must first have the complete factored of the equation done, then set the whole equation to zero. When we do so, we must get rid of the denominator of the equation, so, we multiply the denominator on both sides of the equation. so, in the end, we are simply setting then numerator to zero. 
• Do not forget to put it in correct notation! 
• Ex) (4,0)

Unit G Summary Question #7 Vercical Asmptote Limit Notation

 


Describe how to write limit notation for vertical asymptotes and what the notation means.

• To right the limit notation for a vertical asymptote, we must first find the equation for the vertical asymptote. To do that, we set the denominator of the function equal to zero. When we find the asymptotes, we can do the limit notation. Let's say x=1. This is ow the notation will look like:
• as x->3 +, f(x)->___
• as x->3 -, f(x)->___
• This notation means as the graph is approaching  towards to the vertical asymptote x=3, the f(x) will either be inf or -inf. And as the graph is going away from the vertical asymptote, the graph will either be inf. or -inf.