A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the comet after x days in the interval 0 to 24 days, is given by g(x)=300000csc(Pi/24*x). show the graph of g(x) on the interval [0,28]

Q: Draw a graph of the function and use it to determine the asymptotes and the local maximum and…

A: Given: y = 2x2-ln x

Q: Sketch the graph of f.

A: we have to sketch the graph of  the given function f(x)=log3(x2)

Q: Explain why the function g(x) = ln(4-x2) + square root of x+1 is continuous at every number in its…

A: Consider the given function g(x). The function g(x) is the sum of two functions f(x) and h(x).First…

Q: ASYMPTOTE

A:

Q: Find all vertical and horizontal asymptotes of the graph of the function.f(x) = 4/x2

A: An asymptote is a line that the graph of the function approaches but never touches . The asymptote…

Q: Find the formula for a function that has a vertical asymptotes x=4 and x=6 and a horizontal…

A: The easiest type of function to use for these types of problems are rational unctionsFor vertical…

Q: Sketch the graph of the function. (Restrict your graph of the function to the domain [0,5).) gx) = 5…

A: We need to plot the graph of the given function.    gx=x   ,    x∈[0,5)

Q: Sketch the graph of f(x) = x e²-ª. Indicate any asymptotes, intercepts, local extremes, and…

A:

Q: Where is the greatest integer function f(x) = [[ x ]] not differentiable? Find a formulafor[' and…

A: We need to find where the greatest integer function f(x) = [[ x ]] is not differentiable. We know…

Q: Find the intervals on which f (x) = x(x + 2)(x − 3) is positive by plotting a graph.

A: The graph of the given function is shown in the figure below.

Q: Use a graphing utility to graph the function and identify any horizontal asymptote.

A: To plot the graph of f(x)=3xx2+2, use the Desmos graphing calculator.

Q: Sketch an odd function with a positive leading coefficient having all of the following features:…

A: We have to draw graph of given odd function.

Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

A:

Q: What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at…

A: To find the area of the largest rectangle with given corner points.

Q: Describe the behavior of the function h  around its vertical asymptote at x= -5 for the equation:…

A:

Q: The domain of the function fal= ln (6-5x-x²) is

A:

Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: Sketch the graph of a function f that has both y = -1 and y = 5 as horizontal asymptotes.

A:

Q: Consider the graph of the function h(x)=2x-1 over x+2. Write down the equation of the vertical…

A: Given function,  h(x) = (2x - 1)/(x + 2)  To find the vertical asymptotes.

Q: Determine the horizontal asymptote. (3x–1)(x+3) (x+2{x-4) f(x)

A:

Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

A: To select: The correct options. Given: The function is g(x)=x3-4x+1 and the line tangent to the…

Q: Let f(x)=-4cosx and g(x)=2cosx+3 for 0<x<2pi solve for f(x)>(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx>2cosx+3 .

Q: Find the domain of the function: f(x) = ln(4 - x)

A: we have to find the domain of the given function. f(x)=ln(4-x)

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

A:

Q: Create a function f(x) in standard form with an oblique asymptote at g(x) = - x +4, hole at x = 2, a…

A: Use the following definitions, to obtain the required result. The vertical asymptote occurs when…

Q: Consider the graph of the function y= 1 - 0.333333x  What is the x intercepct on this graph?

A:

Q: SOLVE FOR ALL ASYMPTOTE  IF EXIST and graph f(x) = (x^3  -27)/(x^2-9)

A: The given function is fx=x3-27x2-9. Obtain the vertical asymptotes as follows: Take the denominator…

Q: Find the intervals on which f(x) = - (x+ 2)(x + 0.5)(x – 3.5) is positive by plotting a graph. f(x)…

A: follow next step

Q: find all asymptotes f(x)=2x/x-1

A:

Q: How many asymptotes does the function Ax) = x-1 (x+ 1) have?

A:

Q: b. Use your calculator's TRACE function to estimate the x-values of any vertical asymptotes.

A: using trace function we have drawn the graph of the function.

Q: What is the domain of g(x)=ln(25x-x^2) Show all the work.

A:

Q: Plot the graph of f (x) = x/(4 − x) in a viewing rectangle that clearly displays the vertical and…

A: Given, f(x) = x/(4 − x) 1. Vertical asymptote. Since the denominator of the fraction is (4 − x),…

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

A:

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

A:

Q: 4. What is the Horizontal Asymptote of the FUNction 1 -8 (x + 6)

A:

Q: find the intervals on which f(x) is increasing and decreasing, as well as sketching the graph.…

A: To find the intervals on which f(x) is increasing and decreasing f(x) = x^4 -- 72x^2

Q: Find a formula for a function that has vertical asymptotes x =1 and  x = 3and horizontal asymptote y…

A: Given that a function has vertical asymptotes x=1 and x=3 and horizontal asymptote is y=1. To find…

Q: absolute extremum of the function on the given interval.

A: Absolute Extremum:- Suppose f is function on interval a,b then,i the y-value fc is an absolute…

Q: Draw a graph of f(x) by first placing the horizontal and vertical asymptotes, then 2x + 4 plotting…

A: Given: fx=2x+162x+4

Q: 22) Assuming this function never crosses its horizontal asymptote, state the domain and range o…

A: Solve the function

Q: Find the open intervals on which the function is increasing or decreasing.       y = x√(16 − x2)

A: The given function is , y=x16-x2

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,…

Q: From the graph of f(x), state the reason why f(x) is discontinuous at x = 4 , x = 0 , x = 2 and x =…

A:

Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.

A: The objective of the question is determine the interval in which the given function is increasing.

Q: Sketch the graph of the function f(x)= 3x-5 x axes and the asymptotes (if any). State its domain.…

A:

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A: