13. 14. 15. 16. -3 3 X -1 17. 18. 19. 20. y 3 y 3 y (3, 2) (4, 3) -3 -3 3X -4 4X -3- -3F 21. 22. 23. 24. (-1, 2) 3 (1, 2) 4 6 3 -3F 3 х (2, –3) 3 X HEle Ele

Q: For Problems 4 – 8, let S be an uncountable set. Label each of the following statements as true or…

A:

Q: d) Is the composition of two one-one functions a one-to-one function? e) Is it true that P(A) ≤ A?

A: For part (d), the answer is YES.

Q: ) g3) = (x + 2)² – 1

A:

Q: I. Construct the graph and determine whether each of the function is one-to-one. 1. (-3,5),(2,5) 2.…

A:

Q: For Problems 4 – 8, let S be an uncountable set. Label each of the following statements as true or…

A: Here we need to determine the given statements are true or false.

Q: Use the picture below (on the left) and the function f(x) = ab* to a. Which graph has the largest…

A: As per as our guidelines i am supposed to answer only 1 question with its 3 subparts only .So please…

Q: A fixed point of a function f is a number c in its domain that satisfies f(c).  In other words, the…

A: Given: A fixed point of a function f is a number c in its domain that satisfies f(c).

Q: Question 8 Evaluate the piecewise function at the given value of the independent variable. f(x) =…

A: Topic = Functions

Q: a) Use the graph to list in order, from smallest to largest. 2- -1 -0.5 9 0.5 1 15 2 25 3 3.5 b)…

A: From the graph the integral can be find by adding area under curves. If the area is  under curve is…

Q: Graph the following function  f(x)=3(x-4)2-2

A: f(x)=3(x-4)^2-2 is equation of parabola .comparing the equation with standard form of parabola…

Q: Compare the graphs of the functions. Y, = In and Y, = In x – In 2

A:

Q: Let A = {a, b, c, d} and f = { (a, 0), (c, 12), (d, 18), (b, 12) }. Is f a function from A to B ?…

A: Given, A = {a,b,c,d} f = {(a,0) , (c,12) , (d,18) , (b,12)}

Q: 4. Use the vertical line test to determine if the following graphs are Functions or Relations a. b.…

A: Given,

Q: 1. Write the equation for these functions. a) b) 110 15 90 80 70 10 60 5 50 40 30 -2 1 4 20 -5 10 -5…

A:

Q: 12. Determine what type of function the following table is:

A:

Q: 13.   please help   Either f(x) a graphically defined function.   calculate:

A: Step 1:Step 2: Step 3: Step 4:

Q: 3. Find domain and range of the function whose graph is given in the following figure.

A: Given a graph of a function.

Q: b) 0 1 2 3 4 5 y 8 3 0 -1 0 3

A:

Q: Find the domain and range of the following function: f (x)  {(2,3),(3,4),(5,7),(10,3)}

A: Given: f (x) = {(2,3),(3,4),(5,7),(10,3)}

Q: Use the graph of the linear function given below to answer the following questions. (a) Give the…

A: To find: (A) The X-intercept of the line. (B) Slope of the line. (C) Equation of the line.

Q: 8. Sketch a graph of the following function. Label the important values on the horizontal axis. f(x)…

A:

Q: 18. Use the vertical line test to determine if y is a function of x in the graph. Which of the…

A: The given problem is to check the given figure is the function of x or not using the vertical lines…

Q: Determine the x-intercept(s) of the functiony = 4(x + 7)³ − 32

A: To calculate x-intercept, we should plug y=0 in the given equation. Given equation is y=4x+73-32…

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.