Q#3. For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if the point (x, – y) lies on the curve. Explain why a curve that is symmetric about the x-axis is not the graph of a function, unless the function is y = 0.

Q: For the function y=x-1, graph the points with the domain of {0,4,6,8,9}

A: Domain: Set of values of x or independent variable for which the value of y or dependent variable…

Q: a. Complete the table of values for the functiony = x3, plot the values of x and y as points ina…

A: Consider the function y=x3.   Complete the Table- x -3 -2 -1 0 1 2 3 x3=y -33=-27 -23=-8 -13=-1…

Q: Determine whether the equation xy - 5y = 1 defines y as a function of x.

A: Here we determine whether the equation xy-5y=1 defined y as a function of x.

Q: +1. 2. Write down the x-intercept and y-intercept of the function y =

A:

Q: 5- -4 -5 -4 -2 -3 -5 -5 0 -5 -4 -3 -2 2. ent

A:

Q: Find by implicit differentiation. dy dx dy dx 11 3x² + y² = 4

A: Please see the below picture for detailed solution.

Q: Check the function y=x²+1 whether have a symmetry about x or y axis

A:

Q: IDENTIFYING FUNCTIONS 1. Which table does NOT represent y as a function of x? C y y -4 -3 0. -3 -3 2…

A: Given:

Q: 3. Is the relation xy = 36 a function? Explain why or why not? Draw this relation.

A:

Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: Identify the graphs (a)–(d) (see attached) in which y is a function of x.

A: We have the graph,

Q: Determine whether the equation defines y as a function of x : x + y = 16

A: The given equation is x+y=16.

Q: Can a graph of a function be symmetric about the r-axis (do not consider a special case of a line y…

A:

Q: Draw the function of y = x 2 / 3 + x2

A:

Q: Consider the function Y = (X*Z)0.5. At what point is the intersection of the line Z = - 1.4X + 30…

A: The graph of the function Y = (X*Z)0.5, the line Z = - 1.4X + 30 and contour line (in fact it is the…

Q: If (4,y) is an ordered pair of the function,then y =

A: We have to find y, if If (4, y) is an ordered pair of the function.

Q: Which of the following relations is NOT a function? y = (x+2}° y =tVx 8 y x-3 y = 2"

A: The objective is to find which relation is not a function.

Q: The graph of a certain functionf has slope 4x³ – 5 at the point (1,2). Find the function f.

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.