EXAMPLE 9 Finding the Domain in an Application Express the area of a circle as a function of its radius. Find the domain.

Q: Example 1 Does y = e -2 exist? What is the domain & range of the function if it does exist? (show…

A: Given: y=e9-x2-2 To find: Domain and range of given function if it is defined.

Q: Extent of the Function %3D

A:

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

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

Q: 5. A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 100 meters of…

A:

Q: Sketch the graph of a function that has the properties described. a. f( – 2) = 3; b. f'(x) 0 for a…

A: We will use the property related to  increasing and decreasing function.

Q: an equation that represents a function that extends from quadrant 2 or quadrant 4 is

A: We need to determine an equation that extends from quadrant 4 to quadrant 2.

Q: 3- 1 1 2 -5

A:

Q: A plane crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C…

A:

Q: \text { Sketch the graph of } f(x)=e^{x} \text { . }

A: fx=ex, when x=0, fx if f0=1 Therefore, the graph will cut the y-axis at 0,1 f'x=ex, when x=0, f'x is…

Q: 64. Challenge Problem Pool Depth Develop a model for the depth of the swimming pool shown below as a…

A: Given data, The swimming pool is as shown in below: In ordered pair (x, y), x represent the…

Q: 1)

A: Solution ) 1) in the first graph   We see that  In every value of x , y value is constant which is 2…

Q: Graph the function shown in the photo. Use open and closed circles where necessary. Label at least…

A: In the interval, x<0 f(x)=√-x In the interval, x≥0 f(x)=x2+1

Q: The graph of a function is the graph of its ................. ?

A: To define what is the graph of a function.

Q: Write an equation for the function illustrated in the graph below.

A: The given function is a piecewise function. It has different functions in different domains.  The…

Q: A graphing calculator is recommended. In this problem you are asked to find a function that models a…

A: Find two positive numbers whose sum is 196 and the sum of whose squares is a minimum.

Q: Sketch the graph of the given function. Check your sketch using technology. g(x) = 2x3 - 6x, domain…

A:

Q: Geometry Write the area A of a circle as a functionof its circumference C.

A: We have to write the area A of a circle as a functionof its circumference C.

Q: Ken walks toward and then away from a wall. Is the graph of his distance from the wall a function of…

A:

Q: Sketch a graph of the function y = 3x2 – 8x + 5. Use calculus to find: %3D a. increasing and…

A:

Q: Patterns in Functions and Their Graphs, part 2 y = x² - 4x X -2 -1 0 1 2 3 4 5 6 y

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Heights A relation takes a height rounded to the nearest inch as input and outputs the name of a…

A: If the relation is a function or not.

Q: find the domain and range of a function

A: Given: How to find the domain and range of a function

Q: to write an equation for the function represented by the Graph

A: Given that : The graph of the function:

Q: Calculate the area of the triangle in the figure knowing that the edge of the cube is a. (Express…

A: Solution :-

Q: Curve Sketching Sketch the graph of the following function: f(x) = 3x3 + 2x2 - 4x + 2

A: We have to draw the graph of given function

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: Question 2 of Which graph represents a function? 4. -6-5-4 -210 -5 -6-5 -3-2- 1 2

A: First graph is the sinusoidal waveform. Second graph is the rectangle. Third graph is a triangle.…

Q: Sketch the graph of the function by hand. Use a graphing utility to verify your sketch. y 2 1 2 4 6…

A: Given : y=53sinπx5

Q: A bike trail is drawn on a coordinate system. Each end of the trail is an x-intercept. The height of…

A:

Q: Graph the function f (x) X %3D

A: Graph the function fx=12x.

Q: Define function, domain & Range? How a function can play role in domain & range? What are types of…

A: Function: A function is a relation between a set of inputs and a set of permissible outputs with the…

Q: Tukey HSD analysis has the function similar to Duncan MRT analysis. a) Explain on the TWO main…

A: Tukey HSD test based question.

Q: Discuss four ways of representing a function. Illustrate yourdiscussion with examples.

A: A function is represented using four different ways. 1) Verbally: The function is described using…

Q: Explain why variable y is always in its first degree form for it to be considered a function. Cite…

A:

Q: Are there two functions ƒ and g with the following property? The graphs of ƒ and g are not straight…

A: Given,The graph of the function f(x) and g(x) are not straight lines but the graph of f o g (x) is a…

Q: a) y = (x + 1)(x-1)(x + 2), y X

A: Graph of the y=(x+1)(x-1)(x+2) is shown below

Q: (a) What is a function? What are its domain and range?(b) What is the graph of a function?(c) How…

A: To write: (a) What is a function? What are its domain and range? (b) What is the graph of a…

Q: obtained

A:

Q: determine the homogeneity of the functions. If it is homogenous, state the degree the function.

A:

Q: An equilateral triangle is inscribed in a circle of radius r. See the figure. Express the…

A: From the right triangle, using the trigonometric ratio, cos30°=x/2rr=x2cos30°=x232=x3

Q: 6. One of the functions whose graph is functions. Identify the function and Graph A 4

A: The opposite of derivatives are antiderivatives. A function called an antiderivative does the…

Q: Part II. Graph of a Function Sketch the graph of the functions: 1. f(x) = 5 2. h(x) = 3x + 2

A:

Q: True or False Every graph represents a function.

A: The graph is drawings or diagrams which show information, usually about how many things. there are…

Q: Express the function by a formula: 1.The volume of the cube as a function of the length of an edge

A: To express the volume as a function of the length of an edge , first we assume that the length of an…

Q: A) Function Concepts 1) What is a Function? Give a practical example of a function.

A: A technical definition of a function is: a relation from a set of inputs to a set of possible…

Q: Find the extrema and points of inflection (if any exist) of the function. Use a graphing utility to…

A:

Q: Graph y = - |1|, and show the basic function in dots in the graph describe the domain and range for…

A: SOLUTION GIVEN y=-|1| we need to find the domain  and range and graph the function

Q: Question The graph of f(x) = 2x° + 12x – 72x + 24 has two horizontal tangents. %3D What is the…

A: Proceed as shown below