Find the oblique asymptote for the rational function f(x)= 3x3 - 27x2 + 60x / 2x2...

Find the oblique asymptote for the rational function f(x)= 3x³ - 27x² + 60x / 2x² + 2x - 40

Find the composite function g o f when f(x)= 3x-5 / x-1 and g(x)= x+6 / 4x-9 (I got 9x-11 / 3x-11)

Expert Solution

milcah answered 2 years ago

1. horizontal versus oblique asymptote a. under what circumstances does a rational function have a horizontal...

1. horizontal versus oblique asymptote a. under what circumstances does a rational function have a horizontal asymptote of y=0 b. under what circumstances does a rational function have a horizontal asymptote that is not y=0 c. under what circumstances does a rational function have an oblique asymptote d. find horizontal and /or oblique asymptote for each of the following i. f(x)=x^2-3x+8/x+1 ii. g(x)=4/x+1 iii. h(x)=3x+4/x+1 e. what are the vertical asymptote for each of the functions f, g, and h...

Find the vertical asymptote (V.A.) and the horizontal asymptote (H.A.) of the function g(x) = 2x/...

Find the vertical asymptote (V.A.) and the horizontal asymptote (H.A.) of the function g(x) = 2x/ x- 5. Justify your answer using limits. a) The equation of the V.A. is ________ and the associated limit is: b) The equation of the H.A. is ________ and the associated limit is:

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote. f(x) = 2x/(x + 4)

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote.f(x) = 2x/(x + 4)

In the function f(x) = 5x4-2x2-27 find the following: a) their critical values b)local maximum and...

In the function f(x) = 5x4-2x2-27 find the following: a) their critical values b)local maximum and minimum points c)The intervals where the concavity is up and down d) draw the graph and mark on it all the important points; maximum, minimum and inflection points

find the rational expressions f(x): Xintercepts (1/2,0) (-2,0) y-intercepts (0,-2/3) Holes: none Vertical Asymptote x=3 Horyzontal...

find the rational expressions f(x): Xintercepts (1/2,0) (-2,0) y-intercepts (0,-2/3) Holes: none Vertical Asymptote x=3 Horyzontal y=6

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote. f(x) = 1/x -0 2

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote.f(x) = 1/x -0 2

Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the...

Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the tangent line is horizontal. (x, y) = 0 (smaller x-value) (x, y) = (larger x-value) B) A straight line perpendicular to and passing through the point of tangency of the tangent line is called the normal to the curve. Find an equation of the tangent line and the normal to the curve y = x3 - 3x + 1 at the point (3, 19)....

Let f(x,y) = 3x3 + 3x2 y − y3 − 15x. a) Find and classify the...

Let f(x,y) = 3x3 + 3x2 y − y3 − 15x. a) Find and classify the critical points of f. Use any method taught during the course (the second-derivative test or completing the square). b) One of the critical points is (a,b) = (1,1). Write down the second-degree Taylor approximation of f about this point and motivate, both with computations and with words, how one can see from this approximation what kind of critical point (1,1) is. Use completing the...

Let f(x,y) = 3x3 + 3x2 y − y3 − 15x. a) Find and classify the...

Let f(x,y) = 3x3 + 3x2 y − y3 − 15x. a) Find and classify the critical points of f. Use any method taught during the course (the second-derivative test or completing the square). b) One of the critical points is (a,b) = (1,1). Write down the second-degree Taylor approximation of f about this point and motivate, both with computations and with words, how one can see from this approximation what kind of critical point (1,1) is. Use completing the...

State the domain, vertical asymptote, and end behavior of the function f(x) = log5 (39 − 13x) + 7.

Question

Find the oblique asymptote for the rational function f(x)= 3x3 - 27x2 + 60x / 2x2...

Solutions

Expert Solution

Related Solutions

1. horizontal versus oblique asymptote a. under what circumstances does a rational function have a horizontal...

Find the vertical asymptote (V.A.) and the horizontal asymptote (H.A.) of the function g(x) = 2x/...

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote. f(x) = 2x/(x + 4)

In the function f(x) = 5x4-2x2-27 find the following: a) their critical values b)local maximum and...

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Let f(x,y) = 3x3 + 3x2 y − y3 − 15x. a) Find and classify the...

Let f(x,y) = 3x3 + 3x2 y − y3 − 15x. a) Find and classify the...

State the domain, vertical asymptote, and end behavior of the function f(x) = log5 (39 − 13x) + 7.