Mathematics
21 Online
Nicole:
http://prntscr.com/m2zpmq
7 years ago
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Nicole:
@Vocaloid
7 years ago
Vocaloid:
any ideas? see which option tells you that a function is equal to the quotient of 2 polynomials
7 years ago
Nicole:
C?
7 years ago
Vocaloid:
good
7 years ago
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Vocaloid:
find any x-values that make the denominator equal to 0
7 years ago
Nicole:
so just plug in the numbers?
7 years ago
Vocaloid:
solve for x when (2x+4) = 0 and when (x-5) = 0.
7 years ago
Nicole:
-2 and 5
7 years ago
Vocaloid:
good so those are your solutions
7 years ago
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Vocaloid:
again you need to solve for the x-values that make the denominator (x-2)(x+4) equal to 0
7 years ago
Nicole:
D?
7 years ago
Vocaloid:
good
7 years ago
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Vocaloid:
any ideas? notice the graph is decreasing everywhere except the asymptote at x = 2
7 years ago
Nicole:
C?
7 years ago
Vocaloid:
good
7 years ago
Vocaloid:
any ideas? notice which half of the graph is above the x-axis, and what x-values it covers
7 years ago
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Nicole:
B?
7 years ago
Vocaloid:
notice how the graph is only positive when x is less than 1
7 years ago
Nicole:
A?
7 years ago
Vocaloid:
good
7 years ago
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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
7 years ago
Vocaloid:
make sure to check every point
7 years ago
Nicole:
not B either
7 years ago
Nicole:
not C either
7 years ago
Nicole:
hmm doesnt look like D tho
7 years ago
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Nicole:
im stuck lol
7 years ago
Vocaloid:
check C and D again
7 years ago
Nicole:
C?
because D has (-4 and 1) and thats not on the graph
7 years ago
Vocaloid:
good C is the best fit for the graph
7 years ago
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Vocaloid:
any ideas? which function is undefined for x = 3?
7 years ago
Nicole:
A?
7 years ago
Vocaloid:
not quite
which function has a denominator that is 0 when x = 3?
7 years ago
Nicole:
D?
7 years ago
Vocaloid:
good so D is your solution
7 years ago
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Vocaloid:
"4 units to the left" so take the original function and add 4 to x only
7 years ago
Nicole:
B
7 years ago
Vocaloid:
that would be a shift up 4 units not left
add 4 to x, not the entire function
7 years ago
Nicole:
D?
7 years ago
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Vocaloid:
good
7 years ago
Vocaloid:
"shift 2 units up" so add 2 to the entire function
7 years ago
Nicole:
D
7 years ago
Vocaloid:
good
7 years ago
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Vocaloid:
again just set the denominator equal to 0 and solve for x
7 years ago
Nicole:
1/4 ?
7 years ago
Vocaloid:
the denominator not the numerator.
7 years ago
Nicole:
wouldnt it still be 1/4? orr
7 years ago
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Nicole:
no its -1/5
7 years ago
Vocaloid:
good, -1/5 makes 5x + 1 equal to 0
7 years ago
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
7 years ago
Nicole:
A?
7 years ago
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Vocaloid:
good
7 years ago
Vocaloid:
any ideas? try factoring 5x + 15 and see what you can cancel out between the numerator + denominator
7 years ago
Nicole:
B?
7 years ago
Vocaloid:
good
7 years ago
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Vocaloid:
yeah those are both good
7 years ago
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
7 years ago
Nicole:
B?
7 years ago
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Vocaloid:
good
7 years ago
Vocaloid:
again, flip the second fraction, change the division to multiplication, then cancel out any common factors
7 years ago