Q1\ Graph and find the domain and range of: a. F(x)=X+v4 – x2 b. X+Y2 =0

Q: 2. Graph using y = mx + b y = 2x – 4 8. 7. 9. Slope = 2 -5 y-intercept = - 3. 9-8 -3-2 -2 -3-

A: Y = 2x - 4 Slope = 2 Y - intercept  = -4

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: f(x) = (x + 4)(x − 2)^2 Determine the maximum number of turning points of the graph

A:

Q: Which points on the graph of y = 4 - x2 are closest to the point (0,2)? Ans. and

A: We will use Lagranges multiplier to find nearest points on graph

Q: Determine the concavity of the graphs of y^2=x and y=x^3

A: We have to determine the convexity of the graphs of y2 = x and y = x3 in between the points of their…

Q: a) Sketch the graphs of y= fx) = -2(x – 3)² + 2 and y= g(x) = 4x – 10 on the same set of axes. b)…

A: For a function y=f(x), the set of real values of x for which f(x) is defined is called the domain of…

Q: Q5: Find Domain and Range and sketch the graph of: 1) y = v1-x2 2) y 5x + 1

A: 1. Given, y=1-x2

Q: 10 y = ((x)

A:

Q: Use the graph of y =f(x) to answer the following. 2- -1 -2

A: The domain of the graph consists of all the I/P values shown on the x axisThe range is the set of…

Q: Let y1 = 4x – 3 and y2 = 5x + 2. Find the point of intersection for the graphs of y, and y2. (х, у)…

A: Given: Equation of two lines as,y1=4x-3y2=5x+2

Q: Find the x-intercept and the y-inercept x-3y=-3

A: The y-intercept of the function is computed as follows.

Q: Use your graph of x2 + y2 = 1 to determine the relation’s domain and range.

A:

Q: What is the graph of y = f(x+ 1) - 2?

A:

Q: Which points on the graph y = x² are closest to the point (0, 4)?

A: Since multiple questions are asked , According to guidelines I will answer the first one.

Q: For what values of a is the graph of y = xe -2x concave down? values =

A: for a function

Q: Suppose Fix)= √2x¹+ 6 and the point (2,5) is on the graph y = F(x). Find F.

A: Given problem:- Suppose F'(x) = √2x +6 and the point (2,5) is on the graph y= F(x). Find F.

Q: Suppose that the x-intercepts of the graph of y=f(x) are 2 and 6. What are the x-intercepts of…

A:

Q: Which points on the graph of y= 4-x^2 are closest to the point (0,2)?

A: Given function- y=4-x2 Any point on the curve of this function will be given by- x,4-x2 The given…

Q: For what numbers x, - 2π ≤ x ≤ 2π, does the graph of y = csc x have vertical asymptotes?

A:

Q: Show complete solution Plot the graph of y(t)=3-2x(-2t-1) by transforming the graph of x(t)

A: y(t)=3-2x(-2t-1) x(t)=t+2.5,-2.5≤t<0 seconds2.5,0≤t≤2.5 seconds0,otherwise

Q: . Does the graph of y = Vi - In x, x > 0, have an inflection point? Try to answer the question (a)…

A: y=x-lnx

Q: Find the y coordinate of the vertex: f(x) =x +5x+3 О-13/4 О 5/2 O 13/4 O -5/2 to search

A: Given query is to find coordinates of vertex.

Q: 3. Graph f(x) = 2|x + 3| – 1, and state the domain and %3D range.

A: Given the function

Q: Q3\ Sketch the graph of the curve 1- y=x² +2

A:

Q: Sketch the set of points such that r2 12. Choose the correct graph below.

A: follow next step

Q: Find the shortest distance from a point (3,5) to the graph y=x2.

A:

Q: What is the piece-wise equation and domain for the 1t section of the graph? f(x)

A: NOTE: Refresh your page if you can't see any equations. . for the first part, the x-intercept is…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: The graphs of f and g interest midway between x=a and x=b then∫abfx-gxdx=0. While the graphs of the…

Q: Is the graph of r(x)=4x3−2x2+9x−2 concave up or down at the point with x-coordinate −1?

A: Given          r(x) = 4 x³ - 2x² + 9x - 2 For checking concave up or down we have to differentiate…

Q: x,for-2< I<2 2. for x 22 x-1. for x s -2 5. y=

A:

Q: Graph f(x) = 2x and g(x) = 2-x in the same rectangular coordinate system. Then find the point of…

A: We have to draw the graph of functions and point of intersection: fx=2x and gx=2-x These graph will…

Q: Match the equation with its graph. -x2 + y2 - z? = 1 ZA

A: -x2+y2-z2=1

Q: 5. Sketch the graph of v: R ® R, v(x) = 2x² – 5x – 3, indicating the X- and y-intercepts, and the…

A: Given: v(x)= 2x2-5x-3.

Q: Explain the effect that the constant a has on the graph of y = ax². Be sure to consider a 0.

A: The standard equation of the parabola is (y-k)=4a(x-h)2, where (h,k) is the vertex of the parabola…

Q: Find the equation of the form y = AsinBx or y = AcosBx for the graphs below. (a2, 3) (0, 0.5)…

A: Part a Given,

Q: Q3\ Sketch the graph of the curve 1) y=x² +1

A:

Q: What point on the graph of y = x² is closest to the point (3,0)?

A:

Q: Is the graph of r(x) = -8x3 – 7x² + 2x +3 concave up or down at the point with r-coordinate –2?…

A:

Q: For y =2x° +18x? - 6x, determine concavity and the x-values where points of inflection occur. Do not…

A:

Q: Sketch the graph and determine the domain and range. 1. y = 2 x, for x ≥-4

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: 4) y= V4x + 8 %3D y -6 -4 -2 4.

A:

Q: Which is the graph of y = Vx + 2 +1

A:

Q: Determine x and y intercepts then use them to graph. x-2y=4

A: Given,          x - 2y = 4

Q: The axis of symmetry of the graph of f(x) = −2x² − 4 is the line y = 0. - Select one: True False

A: Given that the axis of symmetry of the graph of fx=-2x2-4 is the line y=0.

Q: Complete the table fory =-x-2 and graph the resulting line. y %3D -3

A: Given The equation of a line:y=-x-2

Q: For values of x between -2 and +2, sketch the graphs of: a). y=10^x b). y=10^(-x)

A:

Q: How does the value of a affect the graph of y = ax? if a s 0?

A: The given equation is,     y=ax2

Q: The graphs of y = x² – 5x – 4 and y = 8+3x – x² intersects at points in what quadrants?

A: From the given two equations substitute the value of y from the equation y=x2-5x-4 in the equation…