[8] Given f(x) = (x – 2)*(x + 2)(x + 4), find the . (a) Intercepts and express them as points. (b) intervals on which the graph is above the x-axis: (c) intervals on which the graph is below the x-axis:

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

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Q: 9. For the function f(x)=6x²-7x-5, find: @ the x- intercepts of the graph of the function b the y-…

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Q: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Given, The function is f(x)=-x2+8 and the point on the graph of f-1(x) is (7,1).

Q: For the f(x) = x3 +3x + 6 determine the coordinates of the turning point(s) and any point(s) of…

A: The turning points of a function f(x) are those points where its first derivative is equals to zero.…

Q: Find the asymptotes of the functionf(x)=2x−3 / x+1.

A:

Q: Find the domain and asymptote. In interval notation. y=1/x2

A: The given function is,

Q: What is the end-behavior asymptote for f(x) = 2+2²43, Z+5 Enter the equation in the box.

A: Given rational function is fx=x3+2x2+3x+5 We know that a rational function has horizontal asymptote…

Q: Find the Vertical and Horizontal Asymptote for the function 3x - 1 f(x) = x + 1

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Q: Let: f(x)=x² +, f'(x) =2x-- 21 f"x)=2+ 1. Find x- and y- intercepts of the graph of f, if it has…

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Q: Consider the function x + 5x-6 S(x) = x2 +4x If it exists, give the equation of the horizontal…

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: find the slope of the secant line between x=−1 and x=1 on the graph of the function…

A: Given that the secant line passes between the point x=-1 and x=1 on the function f(x)=-x3-3x2-2x+1.…

Q: Use the Intermediate Value Theorem to show that the graph of f (x) = 2* – x² intersects the line y =…

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Q: 4. Determine the vertical asymptote(s). x'+5x-7 а. У - х*-3х- 28 x³+4x³ -4x+6 b. f(x) - * x'+2x²…

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Q: Find the horizontal asymptotes f(x) = = Justify your answer. 5x3 √9x6 + 4x² − 1

A: topic- horizontal asymptotes

Q: 5- For the function f(x)=x³/3(x²-3) – 3/2, determine: a- The domain. b- The x and y intercepts. c-…

A: Given problem:-

Q: pls help

A: Here, for given function we have to find vertical and horizontal asymptote  , x intercept, y…

Q: Find the vertical and horizontal asymptotes of  f(x) = x/(x2-1)

A: Given data: The expression for the given function is f(x)=x/(x2-1). The expression for the given…

Q: The function f ( x 22+2x–15 x²+9x+20 has a vertical asymptote at x =-5.

A: Vertical asymptote of a function is the line x=a such that the function is undefined at x=a. A line…

Q: Find all horizontal and vertical asymptotes of f(x) = 3r² –4x+5 2x²+x-3

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Q: f(x)=(x^2-7x+12)/(x^2-5x+6)

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Q: B/Find the oblique asymptote of the function f(x) -3x²+2 x-1

A: To find The slant asymptote of f(x)

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: fx=x44-8x33+15x22+8 Differentiating with respect to x, we get f'x=4x34-8·3x23+15·2x2+0=x3-8x2+15x…

Q: For the function: f(x) = 31 + 3z2. %3D (a) identify the end behavior of the graph, (b) additional…

A: We have to find the nature of the given function then sketch the graph

Q: Find the vertical and horizontal asymptotes of the function f (x) = x 2/(4 − x)2 .

A: The given function is

Q: Find the asymptotes of the functionf(x)=x/x+1.

A: Given function is

Q: 3. Find the domain of g(x) = v16-x² and h(x) = Vx² – 16. Express your answer using interval…

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Q: Find the vertical and horizontal asymptotes of the function f (x) = x /(4 − x) .

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Q: For the function f(x) = x*-4x3 +10 (i) Find where the curve is increasing, decreasing and critical…

A: We can solve the given problem using concept of derivative in order to solve the given problem.

Q: .2 What is the end-behavior asymptote for f (x) = *´+4x-5 , x-2 Enter the equation in the box.

A:

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given function is fx=2x5-15x44+5x33. Differentiating the given function with respect to x, we get…

Q: For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s) of…

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Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: Consider the function: f(x)= 4x^2-9/-x^2+x+6. Find the equation of the vertical asymptote(s)(if…

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Q: For the function f(x)=1/4-x^2, find the horizontal and vertical asymptotes.

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Q: Find the asymptotes of the function f(x)=3x2−2x+1x−1

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Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: An asymptote is a line or a curve that the graph of a function approaches. Vertical asymptotes occur…

Q: Find the horizontal and vertical asymptotes.    f(x) x^3 + 1 / x^3-1

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Q: 6- For the function f(x)=3(2x+1)(1-x²)²,Determine: a- The degree of the function b- The value of the…

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Q: The function f(x) = Y2x²+1 has a horizontal asymptote at 3x-5

A: We say that Line y=L is a horizontal asymptote of the function y=f(x), if either limx→∞f(x)=L or…

Q: For the function f(x) = x3/3-x2- 24x + 19.  What is the range of value over which the function is…

A: Let's find.

Q: Find the point (x.y), at which the graph of y=5x +6x-3 has a horizontal tangent. The function y = 5x…

A: Topic:-  application of derivatives

Q: What are the vertical and horizontal asymptotes for the function f(x)= 6x^2+x/x+1

A: To find the vertical and horizontal asymptotes for the function f(x)= 6x^2+x/x+1

Q: The absolute Extrema of the function f(r) = -V-x² + 8x- 15 on its domain are .2

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Q: Find the horizontal and vertical asymptotes for the function Y=6-2x^3/x^3 -x^2+12x

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Q: For the f(x) = -x2 +3x + 6 determine the coordinates of the turning point (s) and any point (s) of…

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Q: Find the asymptotes of the functionf(x)=x(x−1)2.

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Q: 2. Find the value of k if the graph of k f(x) = 3x? has a point of inflection at x = -1.

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Q: Find the asymptotes of the function f(x)=x2−2x−3/x

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Q: Find the x and y intercepts ,the domain,the vertical and horizontal asymptotes and then sketch the…

A: To find the x-intercepts we plug y=0 and solve for x So, x-intercept is = (-1,0) For y-intercept,…