13. An expression for the range of y = acos (0) -3 , where a > 0, is O{y|-a-3

Q: f(x) = -(x + 1)² +3 for -6 for x + 4 for − 4 ≤ x -1 Find f(-4)

A:

Q: e. domain: [-3, 1)U(1,3]; range: [-2,4) 8. Let f (x) =x² . Find and simplify the indicate %3D 2. fy…

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Q: find the nUmbers b such that the auerage due of f(x)2+6x-3x on the interval E LO,b) is equel to 3

A: Average value of function is given by taking the integral of the function over the interval and…

Q: h(x) = e* 18) Dom: 19) Range:

A: The given function is f(x)=ex

Q: I do not know how to do this question or even what it's asking for.

A: Consider the given function,

Q: fg)(x)=  f(x)=3x−8 and g(x)=x2+16x+63 Use “U” to indicate the union of intervals.

A:

Q: Use the graph of y = f(x) to answer the question. For what values of x is f(x) ≤0? -17 (-2,3)…

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Q: 11 – |x| X 2 a. f(0.5) = b. f(-5.5) = c. f(-3.5) = d. f(6) =

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Q: 12. Step 2: Complete the table for y < * + 3. y = * +3 2 -2 y = x + 3 * -2 0 2 v 135 y =x+3 2 -2 0 2…

A: Given, y= x+3

Q: - (10 points) Show |a – b| < |a| + [b| Va,b eR.

A: We have to show that  a-b≤a+b      ∀a, b∈ℝ

Q: Let the universal set be R, the set of all real numbers, and let A = {x eR| -3 < x < 0}, B = {x E R…

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Q: 3. State the domain and range of f(x) = –- 2 D:(-x,0] А. D: В. D:[-2,0) C. D:[1,0) D. R:(-0,-1]…

A: To state the domain and range of,fx=-12-x-1

Q: Not exactly sure if X=0 is the inflection point or if x=0 and x=4 are the inflection points. If x=0…

A: We have to find point of inflection

Q: 6. Let f(x) = x − 1 and g(x) = (x + 2)², find the following: a) Domain of f(x) b) Range of f(x) c)…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: 5. Analyźe Mathematical Relationships (1)(F) How are the graphs of y = -x2 and y=-x + 1 similar? How…

A: Topic = Functions Both graphs are not similar, both are different in vertical shift by one unit.

Q: 2. State the domain and range of f(x) ==Vx +2 5 D:[-2,0) D:[-2.) В. D:(-0,00) C. D:[0,0) D. R:(-0,0)…

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Q: What is the domain of y=v(x+2)-5? [-5, 0) O (2, ) O 1-2, )

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.