Example / Sketch the graphs of the following functions! a) if y = x? + 1, Compresses vertically by a factor of 4 b) ify = 1-.Compresses horizontally by a factor of c) ify = Vx + 1, Stertches vertically by a factor of 3

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

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Q: What are the three types of discontinuities? Give an explicit function and graph form) that contains…

A: Here we have to define the type of discontinuity:-

Q: The point (7,−1)  lies on the graph of g(x). Which point must lie on the graph of g−1(x).

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Q: 2. Sketch a graph of a function f that satisfies ALL number lines (one graph, not three separate…

A: The meaning of different signs: For function: f(x) , the positive sign indicates the function is…

Q: On what interval do the graph of the function f(x) = 2(x^2 - 9) / (x^2 - 4) increasing and concave…

A: Given that: f(x)=2(x2-9)x2-4

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

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

A: As we know that: The standard equation of the parabola is: x-h2=4ay-k Where: vertex is at h,k   From…

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

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Q: Suppose the point (6, 11) is on the graph of y=f(x). Find a point that is on the graph of the…

A: Given:     y= f(x) Point: ( 6 , 11) Find point for y = f(2x)

Q: so if|x| 2 43. f(x)

A: Following is the graph plotted for individual functions.

Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Please refer to the image below

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: 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: Show that f (x) = x3 - 3x is an odd function. Explain why its graph is symmetric about the origin.

A: Given, fx=x3-3x

Q: The function Ax) = x- 3 increases on which interval? %3D

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

A: To find a function f whose graph is parabola vertex is -1,4 and passes through the point -2,-3

Q: If the point (5 , 8) is on the graph of the function f, then the point (x, y) = ( ? ) is on the…

A: Given ,  If the point (5 , 8) is on the graph of the function f We have to find the point (x , y) =…

Q: Prove that a function of the form:is an even function.

A: The given function is  y=a2nx2n+a2n-2x2n-2+...+a2x2+a0

Q: Given the function g(x) = – 2x* + 7x" +x2 + r - There are at most x-intercepts, and based on the…

A: For a polynomial P(x) of degree 'n' 1. The maximum number of x-intercepts is given by 'n' 2. The…

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

A: Given,            Vertex =-1, 7 and Point =-3,-5

Q: The graph of a function contains the points (6, 7) and (10, 13). Which statement is correct based on…

A: Given points of the function: (6, 7) and (10, 13)

Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions.…

A: Plotting Graph.

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: If the point (π/6, -6) lies on the function y = 2sin (x + k) – 7 for the interval 0 ≤ k ≤ 2π,…

A: Given that  y= 2sin(x+k)-7 point(π/6,-6) lies on curve

Q: If the point (2, 8) is on the graph of f, then f(2) = %3D

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Q: The point (-10, 4) in on the graph of which of these functions? Belect THREE that apply - = O ©2021…

A: We will put the value in the equation and will see its validity.

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…

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

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Q: If f(3) = 13, then the point (3, is on the graph of f. %3D

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Q: The point (9,11) is on the graph of y=f(x). Find a point on the graph of the function y=f(x+5).…

A: The point (9,11) is on the graph of y=f(x). To find a point on the graph of the function y=f(x+5).…

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

A: Odd functions are symmetric about the origin and satisfies f(-x)=-f(x) If (5,3) is on the graph then…

Q: If f(x) = -√x and g(x) = √-x, then f and g have identical graphs.Determine whether each statement is…

A: If f(x) = -√x and g(x) = √-x, then f and g have identical graphs.Determine whether each statement is…

Q: A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point…

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Q: what will the point (0,0) be mapped to when graphing the function f(x)=2sin(x-60)-5

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Q: Graph of F(x) passes through (5,1).Then through which point -f(x+3)-2 passes

A: Graph of f(x) passes through (5,1). let y = f(x) . then when x= 5 we get y=1. so, we get  f(5) = 1…

Q: each given closed interval. Show your proof using the intermediate value theorem. 1. taentify if the…

A: Find your answer below

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

A:

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

A: Given: Vertex (-1,9) and point (-2,-6) To find:  The function of the parabola with given vertex and…

Q: (1 point) Find a and b so that the function 6x - 8x? + 5, a -2 is both continuous and…

A: This question we have to make function continuous and differentiable

Q: Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given…

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Q: Given the points (3,4) and (8,11) find at least three equations from different function families…

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Q: How many axes (or how many dimensions) are needed to graph the function z = ƒ(x, y)? Explain.

A: How many axes (or how many dimensions) are needed to graph the function z = ƒ(x, y)? Explain.

Q: If the point (5, 6) is on the graph of the function f, then what point is on the graph of f −1 ?

A: First of all we will see the form of points on the graph of a function. Then we will use this form…

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)

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Q: If the point  (8, 9)  is on the graph of the function f, then the point  (x, y) =    is on…

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Q: What are the minimum and maximum of values of the function y=3sin(3/4)(x+2π/3)-5

A: Given- y=3sin34x+2π3-5 To find-  The minimum and maximum of values of the above function. Concept…

Q: 4. The point (7, 4) is transformed to 5. Sketch the graph of g(x) = f(– ¤ – 1) – 1. 6. 10 -9 Clear…

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Q: 7. Which graph corresponds to the function Ax) = Vx+ 2 - 3 2. Option 1 Option 2 -2 -4 Option 3…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

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

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Q: families (linear, expo

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.