Textbook @ Videos [+] 2 if a < - 1 Sketch a graph of f(x): a +1 if -1 < x < 2 0. if a > 2 51 -5 -4 -3 -2 4 5 -2 -3 -4 2.

Q: Without graphing, describe the end behavior of the graph of the function. Ax) = 1- 2x - x

A:

Q: The graph of the function fx) =/x is stretched vertically by a factor the transformed function…

A: Given- The graph of the function fx = x is stretched vertically by a factor of a and is translated 3…

Q: Suppose that a friend of yours does not understand the idea of increasing and decreasing…

A: Increasing Functions A function is "increasing" when the y-value increases as the x-value increases,…

Q: A movie theater has a 23-foot-high screen located 9 feet above your eye level. If you sit x feet…

A: Given: θ = Viewing anglex = distance from screen in feets.θ = tan-132x - tan-19x…

Q: Write the equation for this graph: 5 |(4, 3) |(3, 1) -5 0(2, 0.333) 5 10 -5- -10 f (x) = (x+

A: Consider the graph

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: y 67 5- 4- 3- 2+ -5 4 -3 -2 -1 °N 1 /2 +►X 3 4 -2- -3+ 1.

A: Mark the critical points on the graph. The critical points of the graph are at x = -2.5 and 1.

Q: The graph below is of a function f(æ) with domain (-∞, 0). It consists of three lines.

A:

Q: What is an even function? How can you tell that a function is even by looking at its graph? Give an…

A: Even function:  A function is even when the condition for all value of x. if the graph sees, the…

Q: The point (2,8)(2,8) is on the graph of f(x).f(x). For each of the functions below, determine a…

A:

Q: Suppose that the graph of a function f is known. Explainhow the graph of y = f1x2 - 2 differs from…

A: How the graph of y = f1x2 - 2 differs from the graph of y = f1x2 - 22. The graph will be same but…

Q: (a) If the point (5,3) is on the graph of an even function,what other point must also be on the…

A: A function y=f(x) is an even function if f(-x)=f(x) (5,3) is on the function means f(5)=3

Q: The point (2500, 52,500) is the highest point on the graph of the function. What does this say in…

A: Given, the point (2500, 52,500) is the highest point on the graph of the function.

Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to…

A: NOTE: Refresh your page if you can't see any equations. .

Q: escribe the end behavior of the graph of the function  a) f(x)= -4(8)^x -3 as x-->negative…

A: Given function  f(x)=-48x-3

Q: ry to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Lets draw vertical lines on the given graph  The vertical lines intersects the circle at two points

Q: An algebraic expression in two or more variables describing a quantity that must be maximized or…

A: An algebraic expression in two or more variables describing a quantity that must…

Q: Without graphing, describe the end behavior of the graph of the function. Ax) = 1- 2x - x As x → 00,…

A:

Q: Find an equation for the graph sketched below 7- 4+ -5 -4 -3 -2 -7, 4 -2 -3 -4 -5 9- -7 f(x) = %3D

A:

Q: Find an equation for the graph sketched below 7- -5 -4 -3 -2 -2 -3 -4 -5 -- -7 -8- f(x) = Preview 3.

A: Consider the equation below with the unknown a and two known points from where the graph passes.

Q: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)…

A:

Q: 3.

A: 1.  Here, The function is defined for each x&lt;3 domain=(-∞,3) So, it is taking all non negative…

Q: We have to graph the function f(x)=xln(x2). f(x)=xlnx2. Also, label all absolute/local max/mins,…

A: inflection points : No inflection point end behavior: no end behavior since f is not polynomial X…

Q: Sketch the graph of piece-wise defined function 5x + 3, x -3

A:

Q: If f"(2) = 0 then explain how the graph of f might NOT have a point of inflection at x = 2. %3D

A: to find the inflection point we take f''(x)=0, but not for all values of x  when the graph of f''(x)…

Q: Find a function f whose graph is a parabola with the g vertex (-1, 3); point (-2, -2) f(x) = %3D

A: Given vertex is (-1,3)  So the vertex form of the parabola is= f(x)=a(x+1)2+3

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Since the graph is of a parabola so the function must be a quadratic.

Q: 4. If the point (3, -5) is on the graph of a one-to-one function f, what point must be on the graph…

A:

Q: Give troo methods for graphing a function with three independent variables.

A:

Q: Can my function be represented as points on the graph (ordered pairs)? Can it be represented by an…

A: Given, Number of mechanical pencils used per month 4 3 2 5 6 2 3 2 2 The total cost of…

Q: if the point (2,8) is on the graph of f, then f(2) =

A: The point 2,8 is on the graph of f.

Q: Can you explain how to make the piecewise function of the graph

A: The piecewise function of the graph is found as shown below.

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: Without graphing, describe the end behavior of the graph of the function. Ax) = 1– 2x - x As x → 00,…

A: Topic - end behaviour of function End beahavior of function depends upon greatest degree term.

Q: Sketch a graph of: f(x) = 2|x – 1|- 4 5+ 2 -4 -3 -2 -1 -1 I 2 -5 3 4 -2 -3- -4 -5+ Clear All Draw:…

A:

Q: Sketch a graph of f(x) = – 2|x| %3D 5+ 4 2- -5 -4 -3 -2 -1 1 2 3 4 -2- -4- -5+ Clear All Draw: 3.

A:

Q: Is there a function whose graph is symmetric with respect tothe x-axis? Explain.

A: If a graph is symmetric with respect to x-axis for a point (x,y) lying on graph if and only if…

Q: Explain why the function f(x) = x³ – 3x2 +1 must have an absolute maximum and absolute minimum value…

A:

Q: Select the graph which satisfies all of the given conditions. f' (-3) = f' (2) = 0 Increasing on…

A:

Q: The graph of a function has a zero with a multiplicity of two. This means?

A: The given statement is "The graph of a function has a zero with a multiplicity of two".

Q: Sketch a graph of the piecewise defined function.

A: Solution:Givenf(x)=0if x≤23if x&gt;2To sketch the graph of the given function

Q: Is the graph of even function symmetric?

A: Is the graph of even function symmetric?

Q: 10 10 -5 10

A:

Q: graph

A:

Q: Example Graph f(x) = 3(x – 4)2 + 1 %3D 1) 9. 3) 4- 3 2- -6 -5 -4 -3 -2 -1 23456 -3 -4- -5- -6- 2. 2)

A:

Q: 6. Select the correct graph below of the function: (x) = x*(x + 2)(x – 2). List the x-intercepts.…

A:

Q: point

A:

Q: Determine the interval in which the function is decreasing for y=2x^3-9x^2-24x-10 without graphin.…

A: Given: y=2x3-9x2-24x-10. To be find: interval in which the function is decreasing. Concept: For any…

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.