When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal compression from a vertical compression?

Q: 8. Find the inflection points of the previous function and identify regions for which the function…

A:

Q: Explain The Chain Rule with Powers of a Function?

A: Chain rule with exponents

Q: The relationship between the amount of time a car is parked, in hours, and the cost of parking, in…

A:

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Explanation: Given that,  Rate of snowstorm first two hours = 1 inches/hours Rate of snowstorm next…

Q: In what degree of homogeneity is the function

A:

Q: From each corner of a square tin, 12 inches on the side, small squares of side x are removed and the…

A:

Q: What must be done to a function’s equation so that its graph is stretched vertically?

A: The graph of a function is stretched vertically.

Q: What is the common way to obtain a new function from an existing one?

A:

Q: Sketch the graph of a function f such that f′ > 0 for all x and the rate of change of the…

A: Given A function f with f’>0 and rate of change is decreasing.

Q: Sketch a rough graph of the function without using acalculator.   y=   In (x  -1 )

A:

Q: 5. When sign analysis is very effective for determining whether a function is increasing, decreasing…

A:

Q: 3) Without a graph, how can one show differentiability of a function at apoint?

A: With out the graph, to show the differentiablity of a function at a point we have to use the…

Q: Compare the rates of growth of the functions f(x)  = x5and g(x)  = 5x by graphing both functions in…

A: To draw graph of given functions

Q: An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows…

A: Since you have posted multiple subparts we solved the first three subparts for you To get the…

Q: Give an example to explore numerically how a function behaves near a particular point at which we…

A: Solution: Consider y = f(x) = 1/x is the function Since at x = 0, this function is going to be…

Q: What must be done to a function’s equation so that its graph is reflected about the x-axis?

A: What must be done to a function’s equation so that its graph is reflected about the x-axis?

Q: if x becomes an exponent in a function, as in the photo, what happens with y as x gets bigger?

A:

Q: When is a function said to have the Intermediate Value Property?

A: Let f(x) be any  function which is continuous and defined in the interval [a, b].

Q: What can you conclude about the inverses of functions whose graphs are lines perpendicular to the…

A: If a graph of a function is perpendicular to the line y=x, then the reflection of the line on y=x…

Q: Consider the graph of f (x). What is the average rate of change of f (x) from x1 = 3 to x2 = 6?…

A: Find average rate of change for x1=3 and x2= 6.  And f(3) = 15 and f(6) = 9

Q: How does one find the domain of a composite function? I am not understanding the process

A: Composition of a function is defined as,

Q: Consider the graph of f (x). What is the average rate of change of f(x) from x¡ = 5 to x2 = 8?…

A:

Q: What is a function, in your own words? Give an example to back up your points.

A:

Q: Differentiate the following function.

A:

Q: What must be done to a function’s equation so that its graph is stretched vertically? Explain.

A: Suppose that the function is say y = f(x) . To find what must be done to a function's so that its…

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: Suppose that the revenue from selling x washingmachines isr(x) = 20,000(1 - 1/x)dollars. Use the…

A:

Q: Consider the graph of f(x). What is the average rate of change of f(x) fromx¡ = 4 to x2 = 7? Please…

A: The average rate of change is given by the formulas, A=fx2-fx1x2-x1

Q: Describe what is the relationship between differentiability and continuity of a function.

A: To explain: The relationship between differentiability and continuity of a function. Explanation:…

Q: A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it…

A: Let l be the length and w be the width of a rectangle.Then Area = l×b Perimeter = 2×(l+b)

Q: What will be the orientation of the curve of the graph of the function f(x) = on (-3,0)? A.…

A:

Q: The boxes that are checked correspond to functions that are: Increasing Decreasing

A: We need to provide boxes that are checked when a funtion is increaing and decrasing.

Q: How can the One-to-One Functions Graphically be identified?

A: If a function has no two ordered pairs with different first coordinates and the same second…

Q: Is this function Discrete, continuous, piecewise, or linear?

A: as we can see here graph does have scattered points so the given function is not Discrete. now, as…

Q: Sketch a rough graph of the function without using acalculator.   y=   5x - 1

A: We have to Sketch a rough graph of the function without using a calculator.           y=   5x - 1

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Please refer the attached image for complete solution.

Q: A function wherein all terms are of the same degree in terms of x and y is known as ________

A:

Q: Help on identifying the parent function

A:

Q: From a 6-cm by 6-cm piece of cardboard, square IX corners are cut out so that the sides can be…

A:

Q: Give two examples of functions that are not differentiable.

A: The function is non differentiable at points where limit does not exists or infinite

Q: Sketch a rough graph of the function without using acalculator.   y=   -e-x

A: Given: y=-e-x

Q: Define the term One-to-One Functions?

A: Definition of One-to-One functions:

Q: The original and restricted functions are not the same functions.True or false?

A: Given, 'The original and restricted functions are not the same functions.

Q: What must be done to a function’s equation so that its graph is shifted horizontally to the right?

A: If c is positive,y=fx+c shifts the graph of f to the left c units and y=fx-c shifts the graph of f…

Q: Consider the graph of a function, which shows the number of customers in a department store, y,x…

A: the average rate of change of the function from x=6 to x=12, in customers per hour is given as

Q: Sketch a graph of the piecewise defined function.

A:

Q: Find the function that satisfies the given conditions.

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.