Write the equation of a rational function f(x) = p(×)/q(x) having the indicated properties, in which the degrees of p and q are
as small as possible. More than one correct function may be possible. Graph your function using a graphing utility to verify that it has the required properties.
134.) f has a vertical asymptote given by x=3, a horizontal asymptote y=0, y-intercept at -1, and no x-intercept
135.) f has vertical asymptotes given by x=-2 and x=2, a horizontal asymptote y=2, intercept at 9/2, x-intercepts at -3 and 3, and y-axis symmetry
Please helppp, thank youu
134.) f has a vertical asymptote given by x=3, a horizontal asymptote y=0, y-intercept at -1, and no x-intercept
135.) f has vertical asymptotes given by x=-2 and x=2, a horizontal asymptote y=2, intercept at 9/2, x-intercepts at -3 and 3, and y-axis symmetry
Please helppp, thank youu
1 answer:
Answer:
134. y = 3 / (x-3) attachment picture 1
135. y = (2*(x+3)(x-3)) / (x+2)(x-2) attachment picture 2
Step-by-step explanation:
134. y = 3¹ / (x¹-3)
135. y = (2*(x+3)(x-3)) / (x+2)(x-2)
Apply the asymptote properties to verify, such as compare the degree of numerator and denominator... denominator approach 0 etc.
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The correct description of the graph:
<em>"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in </em><em>quadrants </em><em>2, 1, and 4."</em>
<h3>Which graph is the graph of the given functions?</h3>
Here we have the function:
The graph of this function can be seen below:
Then we can see that a curve opens up on quadrant 1, and down on quadrants 2 and 3 (it pass throw quadrant 1 for a little bit).
Then the correct option is:
<em>"One curve opens up and to the right in </em><em>quadrant </em><em>1, and the other curve down and to the left in </em><em>quadrants </em><em>2, 1, and 4."</em>
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Answer:
0.4929 = 49.29% probability that he voted in favor of Scott Walker
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Having a college degree.
Event B: Voting for Scott Walker.
They found that 57% of the respondents voted in favor of Scott Walker.
This means that
Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree
This means that
Probability of having a college degree.
33% of those who voted for Scott Walker(57%).
45% of those who voted against Scott Walker(100 - 57 = 43%). So
What is the probability that he voted in favor of Scott Walker?
0.4929 = 49.29% probability that he voted in favor of Scott Walker