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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Answer:
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Step-by-step explanation:
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This problem requires the Pythagorean therom.
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Since the distance between them is one more mile than ray's distance from home ray is 6 miles from home.
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