Find the natural domain and graph the functions for the following: 1) y = Va? – 36 2) y = -t2

Q: I need help graphing f(x)= 1/2x +1 and g(×)= -|x-2|+5 Y= F(×) as a line Y= G(×) as 2 ray segments

A: Given function f(x)=12x+1 Since, graph of function h(x)=1x is hyperbolic shaped. To obtain 'f(x)'…

Q: The table below gives the stopping distance y (in 100 meters) for a train traveling on a track at…

A: Given data: The given table is, speed, x(mi/h) 50 55 60 65 70 75 80 85 90 Distance,y (100 m) 20…

Q: 1 Let f(r) = (r – 1)?, g(x) = 1– r², h(r) = 2(x+ 3)2 – 8, find for each function a) r- and y-…

A: Given :           fx=x-12gx=1-x2hx=2x+32-8

Q: If y satisfies the given​ conditions, find​ y(x) for the given value of x.

A: Given, y'(x)=dydx=9x,y(9)=65

Q: Use the graph of f to find the x-intercept(s), Where applicable, use interval notation.

A:

Q: Sketch the graph and determine the domain and range. 1. y = 2 - x, for x 2-4 2. y= x? - 6x + 5, for…

A:

Q: Q=- Find the Zero and its oider for the function fiz) = 1- Ki+Z+ ¢ ?

A:

Q: (a) If f(x) = x + 3x, find f '(x). f '(x) = (b) Check to see that your answer to part (a) is…

A:

Q: Sketch the graph and determine the domain and range. 1. y = 2- x,for x 2-4 2. y=x-6x +5. for 1 sx< 5…

A: As per Bartleby guidelines rule I am answering only top 3 questions. Domain : The domain of a…

Q: Determine the range of the following functions. Express your answers using interval notation y =…

A: The graph of y=3x2, -2≤x≤2 is shown below:

Q: to 40. Using the graph below, find f(x)dx 12 10 y 6 4. 2- 2 6. 10 12 14 16

A: Using the given graph we have to find:  ∫014 f(x) dx

Q: Given the graph of y = f(x), sketch the graphs of f' and f" on the same set of axis. 1.

A:

Q: Use the graph of Jy=f(x) to answer the following.

A: The function, y=f(x) is graphed in the given figure.

Q: State the intervals where the graph of y = sec(r),-2n <I< 27, is decreasing.

A:

Q: Find the domain and range of f(x,y) = e* + /y + 2

A: We can find the answer given below

Q: Q4) Find the natural domain and graph the functions for the following: 1) y = Va? – 36 2) y = -t%2

A: Part-(1)  Given : y=a2-36 We have to find the natural domain and the graph the given function : The…

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: If g(x) is the graph of f(x), x^3, shifted right 2 units, write the formula of g(x)

A:

Q: Graph the following cosine function, y = 5 - 3cos (x/4 -n/8). What is the coordinate (x, y) of the…

A:

Q: Use the following graph to identify the points on the interval [a, b] at which local and absolute…

A: Absolute extrema describe the points in which the graph is either at its greatest maximum or lowest…

Q: Find two explicit functions by solving the equation for y in terms of x, (b) sketch the graph of the…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

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: . Find the x-values for the two discontinuities:

A: Given, f(x)=(x-3)(x-1)(x2-4x+3) We need to evaluate discontinuities.

Q: Let c be a fixed constant. Explain the relationship betweenthe graphs of: y = f (x + c) and y = f…

A: To explain: The relation between the graphs of y=fx+c and y=fx in rectangular coordinates. Concept…

Q: Show that the graph of y = 5 and y = log,. x are reflections of each other with respect to the line…

A:

Q: Use the graph of  y = sec x  to find all values of x,  0 ≤ x ≤ 2?,  for which the following is…

A:

Q: Find dz implicitly of the relation r + y³ = 3ry.

A:

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

A:

Q: Write a function of the form f (x) = tan (Bx-C) for the given graph. 34y 13n 4 4 4 -1 f(x) :

A:

Q: Show that the graph of y = 3* and y = log,x are reflections of each other with respect to the line y…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: of its graph. Be sure to label the x-values of five key points: x, = +1() = %3D x3=D +2(종) = %3D x,…

A: Angle

Q: Consider the following. 2 X- 3 x² - 3 x (a) Find the points of intersection of the curves. (x, y) -…

A:

Q: Use the following graph to identify the points on the interval [a, b] at which local and absolute…

A: Given: The graph of function y=gx on the interval x∈a,b as To determine: The point in the interval…

Q: For the following graph, find the x and the y intercept. Blank 1 - The x intercept, x= Blank 2 - The…

A: From the graph:x-intercept: 3y-intercept: -4

Q: (b) Complete the graph for x < 0 to make an odd function. y y X

A: (b) To find the graph of an odd function, we need to just check whether which graph has symmetricity…

Q: Use the indicated x-values on the graph of y = f(x) to find the following. y C

A:

Q: Graph the following function over the indicated interval. y=exl; [-5,5] ...

A:

Q: . Answer the following questions based on the graph of y = f(x) below. (1,2) (3, 2) (4,0) -2 -1 2 3…

A:

Q: If g(x) = sec x, find g"(t|4).

A:

Q: Find the ex act Tength of the graph of flx) = Ix3 t xT . over the interval [, 3] 12

A: Given that f(x)=x312+1x At x=1, f(x)=112+1=1312 At x=3, f(3)=2712+13=94+13=27+412=3112 The length…

Q: 4. Draw the graph, of the functions determined by the given formulas 1. f(x) 3D 4 — х2

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Explain with drawing the effect of increasing of each value of (A,B and C) on graph of…

A: The given function is: y=A+B sin (Cx)

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A: please see the next step for solution

Q: Match the graph with the function. 2 3x i 2 III IV (a) y- (x + 1)? O1 OV (b) y- (x - 1)2 O II ON (c)…

A: To match the graph with the function. a y=x+12b y=x-12c y=x2-1d y=-x2

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

A:

Q: 19. Given the following functions: y = 8x – x2 and y = 3x %3D | Find their points of intersection.

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Consider the following graph on the interval – 180° < r < 255°: -

A: The graph is of the cosine function.

Q: The range of y = sec x is ________.

A: The range of y = sec x is ________.   Cosine function only takes values that are between -1 and +1.…

Q: If f(x) = 2sin (3x), the formula to compress the graph vertically by factor 4 followed by a…

A: Definition used -    If  graph of a function f(x) compressed vertically by factor a , then new…

Q: Let x + y = 28. Find y"(x) at the point (3, 1). "(3) =

A: The solution of the problem is given in the next steps.

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.