Grade 12 University Level Math Help Needed!

A.Me Request Description

1. Find the equation of the function passing through the following points:

• (-6, 21)
• (2, 21)
• (-5, 0)
• (1, 0)
• (0, -15)
• (-3, -24)
• (-2, -27)

2. Give an example of each of the following:

•An even degree polynomial function that is not even.
•An even degree polynomial function that is even.
•An odd degree polynomial function that is not odd.
•An odd degree polynomial function that is odd.Justify each example

Will all rational functions have at least one vertical asymptote? Justify your response with an explanation and an example.

Also, respond to the following comments: 

1. No. Not all rational functions will have at least one vertical asymptote. In order for there to be a vertical asyptote the denominater must equal zero.if the denominator is unable to be factored it will not equal zero, making the demonimator not equal to zero. 

g(x)=1/(x^2+1). In this equation he denominator (x^2+1) is unfactorable which means the denominator does not equal zero and that eliminates the vertical asymptote. 

Not all rational functions will have vertical asymptotes. 

Algebraically, for a rational function to have a vertical asymptote, the denominator must be able to be set to zero while the numerator remains a non-zero value. This means that any polynomial function in the denominator that can be factored can be set to zero, thus causing a vertical asymptote. The way to combat this is simple: write the rational function with an unfactorable function in the denominator. By doing so you are eliminating the possibility of the denominator being set to a zero value, thus making any vertical asymptotes impossible.

Here’s an example:

3. Create a function that has: 

– a vertical asymptote of…(—_____________________)

– a horizontal asymptote (______________________)

– a x-intercept of (__________________________)

– a y-intercept of (_________________________)

And solve your own equation….

4. Solve equation: 

x intercepts are -1,3.5

y intercepts  is 1

no isotopes

5. Do all questions In summitive 7 (ASN_A7) 

6. Do questions # 6 to 14, 16, 17 for Unit 2 summative (Unit_2_summative) 

• ASN_A7.rtf.pdf
• Unit_2_summative.rtf.pdf