The following is the graph of the function f(æ) = { 4+x – x2 if x < -1 or x > 2 if –1 < x < 2 3x - -4 0- -5 -10 -15 -20- -25 True False

Q: Consider the following. 3x2 - 11x - 4 x - 5x2 - 9x + 45 f(x) = (a) State the domain of the function.…

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Q: Graph the following relation {(−2, y)| − 3 < y ≤ 4}

A: Explanation of the answer is as follows

Q: 3. Find the domain ofthe following functions. Show work algebraically when needed. Write in interval…

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Q: Which graph represents the function that has the rule f(x) = x(x − 2)(x+6)(x + 1)? A B O D (. O 150…

A: We have given graph of function fx=xx-2x+6x+1 To get zeros of the function  Put fx=0 xx-2x+6x+1=0…

Q: Which of the following is the domain of the function f(x) = /æ + 4? {x €R | x -4} {x €R |x > 4} {r…

A: Given: fx=x+4   As we know that; The function y=fx is defined when fx≥0.

Q: Use the piecewise-defined function to find the following values for f(x). 1-4x if xs-2 f(x) = 4x if…

A: Consider the given piecewise-defined function, fx=1-4x       if x≤-24x             if…

Q: 14 22 16  C.  X -11 -5 -1 -5 Y 16 14 16 15  D.  X -11 -5 -11 3 Y 16

A: Option (B) is correct.

Q: Match three of the below statements to the definition of f that makes them true, and identify the…

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Q: 3- if x 2 -2 *(x) = —х + 1 2 1- -4 -2 -1 1 2 3 4 -1 -2- -3 2.

A: we have to draw the graph

Q: a student states that the domain of the function f(x) is the set of all real number except 2,6,15…

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Q: Q1. (a) How many functions are there from a set with 3 elements to a set with 5 elements?

A: We find total number of functions from a set with 3 elements to a set with 5 elements.

Q: a) k(-13)  b) k(9) c) k(26)  k(-13)=  Given the function k described by k(x)=6x, find each of the…

A: (a)Given information:

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.