Examine the graph of the function f(x). 2 fx) 1- 180 360 540 720 -21 3D3- a) Determine the equation of the function. b) Evaluate f(20).

Q: Find the formula for a linear function f that models the data in the table exactly. 2 3 f(x) - 4 - 1…

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Q: Consider the function y = 2/x+2+4. what are the domain and range of the function? Show your work.

A: Given query is to find the domain and range of the function.

Q: Describe the domain and range of the function. g(x, y) = x√y

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Q: Answer the question about the given function. Given the function f(x) = 3x2 - 6x - 9, is the point…

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Q: Describe the domain and range of the function. f(x, y) = 8x² - y %3D

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Q: ² - 1 Are the functions f(x) = x - 1 and g(x) the x + 1 %3D same? Explain.

A: Given that : The functions f(x) = x - 1 and g(x) =x2 -1x+1 .

Q: Describe the domain and range of the function. f(x, y) = 4x2 - y Domain: o {x, y): x 2 0, y 20

A: we have to domain and range

Q: Use the vertical line test to determine if y is a function of x in the graph. Choose the correct…

A: Vertical Line test: If the vertical line parallel to the y-axis passes through the curve only once,…

Q: Use the Vertical Line Test to determine whether the curve is a graph of a function of x. If it is,…

A: Solution:Use the Vertical Line Test to determine whether the curve is a graph of a function of x. If…

Q: 1. What is an appropriate domain for the function? Explain how you know.

A: The domain of any function f(x) is the set of all values of x for which the function is defined.

Q: Use the vertical line test to determine if y is a function of x in the graph. Choose the correct…

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Q: How do I solve this question? The altitude of a right triangle is 18 cm. Let h be the length of the…

A: Let a and b be length of altitude and base of triangle respectively. It is given that length of…

Q: Can a function be both even and odd? Explain.

A: To check whether a function can be both even and odd.

Q: Use the vertical line test to identify graphs in which y is a function of x.

A: The given graph is

Q: 1. Describe the function. What is the domain? (x,y)= \x² + y² - 4

A: Please see the explanation below

Q: In Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the…

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Q: Check the function y=x²+1 whether have a symmetry about x or y axis

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Q: Part A: Let y represent the number of rabbits after x years. Which functioncan be used to model y as…

A: Figure in table year Rabbit 0 10 1 30 2 90 3 270 4 810 5 2430…

Q: Sketch the graph of f′. Explain how you found your answer.

A: we can observe that equation of given curve is like fx=mx;m>0 now we have to find f'x

Q: Give an example of two functions (x) and g(x) such that (f g)(x) does not exist. Explain your…

A: The expression f∘gx can be written as fg(x). The expression f∘gx is calculated by substituting g(x)…

Q: a. If f:x - |x|, find the images of - 3, 6, and -6. b. Is f a one-to-one function? Explain.

A: Given: f: x→x We know that for given function image of the point a is given by image of a=a=a

Q: Use the vertical line test to determine if y is a function of x in the graph. Q

A: To use the vertical line test to determine y is a function of x. Given graph is:

Q: b) Differentiate between the domain and range of your function.

A: Topic  =Functions

Q: Use the Vertical Line Test to determine whether the curve is a graph of a function of x. If it is,…

A: Vertical line test: It states that, if the vertical line is drawn that intersects the graph more…

Q: Plots the graph of the function f(x) - 2x2 - 4x + 1, sets its domain, range, the coordinates of its…

A: Here we construct table for the f(x).

Q: Use graphing technology to find the domain of the function f (x) = Vx- 2. %3D

A: Domain refers to the set of all possible inputs for the function where the function is defined. To…

Q: 19

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Q: 18 1,0 20 188 10 55 -81 -2 Vhich one of the graphs is a function? А. В. С. D.

A: The vertical line test can be used to determine whether a graph represents a function. A vertical…

Q: Range refers to the x values that satisfy the function. True False

A: Every function must have a Domain and Range

Q: A Part A: (must answer) Compare the domains and range of the three functions shown above.

A: We know that domain is the set of values where function is defined or value of x. and range is set…

Q: Explain what it means for a function to be (1) and give an example of such a function.

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Q: Write a linear function f with f (-2) = 6 and f (0) = -4. %3D %3D f(z) =

A: To write the linear function by the given details

Q: Describe the transformation of the root function f(x) = x² to the function g(x) = -(x – 2)2 + 1

A: Two functions are given by: f(x) = x2  and  g(x) = -(x - 2)2 + 1  Here, f(x) transforms to g(x). We…

Q: Sketch the graphs of f and g in the same coordinate plane. x) -5*, g(x) logs x y y

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Q: 3-7Sint 12 What is the midline of the function aboue ?

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Q: 19. What is the slope of the segment shown for a staircase with 10-inch treads and 7.75-inch risers?…

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Q: On a piece of graph paper, draw the graph of the function y equals negative 1 half x space plus…

A: The given function is y is negative one half of x and plus 1.That is y = -x/2 + 1.

Q: 2. Is this a graph of a function? Explain your y reasoning. (abr 6. 4

A: Topic:- function

Q: Describe the domain and range of the function. g(x, y) = x/y

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Q: In Exercises 117-124, match the function with its range Some answers can be repeated. 118. f(x) = x²…

A: Let f(x)=y

Q: Exercise 1. Sketch the graph of the function f(x, y) = 2x² + y? – 2y + 2. Draw at least 2 different…

A: Given a function, f(x,y)=2x2+y2-2y+2 To sketch the graph of above function.

Q: Consider the function. f(x) = x +2 Use the graphing utility to graph f. x+2 f(x) = y 20

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

Q: Determine the yange of the function what is the range of y=3 secx? write answer in interval…

A: Consider the given function, y = 3sec(x). Find range graphically: The range of the function is set…

Q: Use the vertical line test to identify graphs in which y is a function of x. а. b. с. d.

A: Given, Use the vertical line test to identify graphs in which y is a function of x>

Q: Use calculus to sketch the graph of the function given by f(x) = x³ – x² – 6x+4. Show all steps…

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Q: Sketch the graph of f(x) = xª – 2.x² + 7 using graphing strategy (analyze f, f' and f").

A: Consider the graph of f(x).

Q: 2. Does a rule from one set to another set need to be explicit in order for the rule to qualify as a…

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Q: Use the graph of f to solve Exercises 7-12. 7. Explain why f represents the graph of a function. 8.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: TUTOR %3D for the function

A: The given equation is: 4x2+x3y+y2=6...(1) To find the slope, that is dydx, at Q(-1,2)

Q: 3 Can a function be always concave down and never cross zero? Can it be always concave down and…

A: The 1st answer is Yes and 2nd is No.

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.