Month: October 2019 (Page 2 of 4)
Textbook 11.3 exercises
Exercise 11.1. Find the domain, The vertical asymptotes and removable discontinuities of the function.
Question b) (x^2+2)/(x^2+6x+8)
step 1: To find the domain we need to to set the denominator to zero
- (x^2+6x+8)=0
step 2: We solve by factoring the equation to its simplest form.
2. (x+4)=0 and (x+2)=0
step 3: We solve both equations to get x by its self.
3. x=-4 and x=-2
step 4: Both -4 and -2 are the restrictions that makes the denominator zero.
4. D: {R|x not equal -4,-2}
step 5: By using the restrictions on the domain we are able to find the vertical asymptote.
5. The graph does not pass through the values of -4 and -2
step 6: To find the removable discontinuities you need to see if the equation has any factorable polynomials.
6: Since none of the polynomials can be factored then the equations has no removal discontinuities.
P.S: Sorry for any errors
- For classifying discontinuities of rational functions, one option is a point discontinuity, which looks like a hole in the graph. Another name for this type of discontinuity is removable discontinuity. (I just realized the textbook uses this name.)
- We are about a class behind the schedule. This means that we’ll cover Section 12 in class on Tuesday. This material will appear on Thursday’s test, so you might like to read through the text and look at the Webwork questions before Tuesday’s class.
- A handful of Webwork sets are due next Monday and next Wednesday.
- Your OpenLab Test #2 Review assignment has the same instructions as for Test #1 Review. Don’t forget to select the category Test #1 Review or your post. Posts are due by 11:59pm on Monday, October 21.
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