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Mathematics 21 Online
Nicole:

http://prntscr.com/m2zpmq

Nicole:

@Vocaloid

Vocaloid:

any ideas? see which option tells you that a function is equal to the quotient of 2 polynomials

Nicole:

C?

Vocaloid:

good

Nicole:

http://prntscr.com/m2ztii

Vocaloid:

find any x-values that make the denominator equal to 0

Nicole:

so just plug in the numbers?

Vocaloid:

solve for x when (2x+4) = 0 and when (x-5) = 0.

Nicole:

-2 and 5

Vocaloid:

good so those are your solutions

Nicole:

http://prntscr.com/m2zw6f

Vocaloid:

again you need to solve for the x-values that make the denominator (x-2)(x+4) equal to 0

Nicole:

D?

Vocaloid:

good

Nicole:

http://prntscr.com/m2zxt5

Vocaloid:

any ideas? notice the graph is decreasing everywhere except the asymptote at x = 2

Nicole:

C?

Vocaloid:

good

Nicole:

http://prntscr.com/m2zyw2

Vocaloid:

any ideas? notice which half of the graph is above the x-axis, and what x-values it covers

Nicole:

B?

Vocaloid:

notice how the graph is only positive when x is less than 1

Nicole:

A?

Vocaloid:

good

Nicole:

http://prntscr.com/m2zzyn http://prntscr.com/m30092 one question ^

Vocaloid:

i mean you just have to go through each table and see which points match up with the graph for the first option, (-3,1.5) is not on the graph, so eliminate choice A keep going with the other choices

Vocaloid:

make sure to check every point

Nicole:

not B either

Nicole:

not C either

Nicole:

hmm doesnt look like D tho

Nicole:

im stuck lol

Vocaloid:

check C and D again

Nicole:

C? because D has (-4 and 1) and thats not on the graph

Vocaloid:

good C is the best fit for the graph

Nicole:

http://prntscr.com/m303i1

Vocaloid:

any ideas? which function is undefined for x = 3?

Nicole:

A?

Vocaloid:

not quite which function has a denominator that is 0 when x = 3?

Nicole:

D?

Vocaloid:

good so D is your solution

Nicole:

http://prntscr.com/m305yw

Vocaloid:

"4 units to the left" so take the original function and add 4 to x only

Nicole:

B

Vocaloid:

that would be a shift up 4 units not left add 4 to x, not the entire function

Nicole:

D?

Vocaloid:

good

Nicole:

http://prntscr.com/m30900

Vocaloid:

"shift 2 units up" so add 2 to the entire function

Nicole:

D

Vocaloid:

good

Nicole:

http://prntscr.com/m30gp9

Vocaloid:

again just set the denominator equal to 0 and solve for x

Nicole:

1/4 ?

Vocaloid:

the denominator not the numerator.

Nicole:

wouldnt it still be 1/4? orr

Nicole:

no its -1/5

Vocaloid:

good, -1/5 makes 5x + 1 equal to 0

Nicole:

http://prntscr.com/m30ibc

Vocaloid:

any ideas? 1. what's the least common multiple of 5 and 15? 2. what's the least common multiple of x and x^2? put the solutions from #1 and #2 together

Nicole:

A?

Vocaloid:

good

Nicole:

http://prntscr.com/m30krf

Vocaloid:

any ideas? try factoring 5x + 15 and see what you can cancel out between the numerator + denominator

Nicole:

B?

Vocaloid:

good

Nicole:

http://prntscr.com/m30oyy are these correct

Vocaloid:

yeah those are both good

Nicole:

http://prntscr.com/m30pp4

Vocaloid:

first one is good for the second one you just have to remember your division rules when dividing by a fraction, flip the second fraction and change the division sign to a multiplication sign

Nicole:

B?

Vocaloid:

good

Nicole:

http://prntscr.com/m30se0

Vocaloid:

again, flip the second fraction, change the division to multiplication, then cancel out any common factors

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