(1) (II) (III) (IV) (V)

Q: Given the graph below, which of the following functions best describes its discontinuity?

A: Graphing a function is nothing but substituting various values of independent variable in to the…

Q: One yardstick for measuring how steadily—if slowly— athletic performance has improved is the mile…

A: Given, In 1954, Roger Bannister of Britain cracked the 4-minute mark, setting the record for running…

Q: B. Describe in your own words what a vertical line test is in egards to mathematical functions.

A: In mathematical functions, the vertical line test is a easy way to determine if a curve is a graph…

Q: Select all of the following graphs which are one-to-one functions. -5 -4 -3 -2 -2 4 5- -5 4 -3 -2…

A:

Q: What is the graph of this function

A: given functionF(x)=x-2   ;   x≤-2             2       ;-2<x≤0        4-x2-;0<x≤2           x+4…

Q: Find the domain and range of the function graphed below. y 4.5 453525 3.5 3 2.5 1.5 1 0.5 -0.5 1 50…

A: Given problem:-

Q: Consider the following scenario: Jayne enjoys riding herbicycle through the woods. At the forest…

A: We have to make the table with the given information.

Q: Find the slope of the graph of the function at the given point.

A: Given function is  To find the slope of the above function at (1,4)

Q: If the function y = e4x is vertically compressed by a factor of 5, reflected across the x-axis, and…

A: Given function:

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

A: Given that a function has to be shrunk horizontally.

Q: Describe how the behavior of the graph in Figure 10 near x = 1 can be predicted by the simplified…

A: As x approaches 1, the function becomes undefined.

Q: Sketch the graphs of the following function y = 9/x + x + 1

A: Given: The function y=9x+x+1

Q: Select all of the following graphs which are one-to-one functions. -2 -4 -5+ 4- 4-3 -2 - -군 -4- 4-…

A: In this question we have to find the graph of the one to one functions which means for each input…

Q: A global data plan costs $25 a month for the first 100 megabytes and $20 for each additional 100…

A: The equation representing the cost as a function of the number of megabytes x used per month is:…

Q: 1 3. Write the equation of the parent function f (x)= =, afte - down, and vertically stretched by 4.

A: Given: The parent function is f(x) =1x .

Q: If electricity has a minimum monthly charge of $25.00 and a charge of $0.40 cents per unit kilowatt…

A: From the given the minimum monthly charge is observed to be $25. And they charge $0.40 per unit…

Q: If a cannonball is fired with a muzzle velocity of 320 feet per second, it will follow the path of…

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

Q: Suppose the cost of the production and sale of x units of an electronic product is…

A: Given that Suppose the cost of the production and sale of x units of an electronic product is…

Q: The shape of f(x) = ∣x∣, but shifted four units to the left and eight units down.Write an equation…

A: The shape of f(x) = ∣x∣, but shifted four units to the left and eight units down.Write an equation…

Q: Suppose f(x) is a known function with a known graph. Give a formula for a function, g(x), whose…

A: f(-x) is reflection of f(x) about y axis.

Q: If for a set of points (x, y) generated for this function, y (y-axis) was plotted versus a (x-axis),…

A: The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the…

Q: 5. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted…

A: Given: The new function representation of her photo share is fx=34x+45 To determine: How does the…

Q: During the pandemic crisis, Vincent is trying to earn extra money by working as a dropship agent.…

A:

Q: Suppose the cost of the production and sale of x units of an electronic product is…

A: Given cost function  C(x)=17,000+100x+0.2x^2 dollars.  For x=0 C(x) = 17000 And for c(10) = 18,000…

Q: IS THIS GRAPH A FUNCTION AND IS IT A ONE TO ONE?

A:

Q: Graph the functions in excercise

A:

Q: ) A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute tor calls…

A: Given Cost of cell phone =$49.95 per monthAdditional Taxes=$14.02

Q: If a cannonball is fired with a muzzle velocity of 320 feet per second, it will follow the path of…

A:

Q: our cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total…

A: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total…

Q: (2) Gabrielle is given the choice of two positions, the first paying $6400 per month and the other…

A:

Q: Graph the functions in excercise

A: Given: To graph the function of y=(x+1)23

Q: Find the point on the graph of the function that is closest to the given point.

A: To find the point on the graph of the function fx=x that is closest to the point 4,0

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A: Given that a cell phone charges $49.95 per month +$14.02 taxes and $0.40 per minutes for calls…

Q: The cost of an appliance whose purchase price is $600 and annual hydro cost is $115 is given by the…

A: The cost of an appliance whose purchase price is $600 and annual hydro cost is $115 is given by…

Q: A cab company charged $0.25 per mile as well as a flat fee of $2.50 just for taking a ride in the…

A:

Q: Graph the following function using the vertex and axis of symmetry. 1 H(x) = (x- 4)? Use the…

A:

Q: Select all of the following graphs which are one-to-one functions. 4 -5 -4 -3 -2 -1 -2 -4- |5+ -5 -4…

A: We have to match the function

Q: Match each of the following functions with the graph that best describes the situation.(a) The…

A: Since you have posted 5 subparts here i can answer only first three. Please reupload the remaining…

Q: minute monthly limit. Write a piecewise-defined function to model the monthly cost Cx (in $) as a…

A: Given: A cell phone plan charges $48.35 per month plus $14.06 in taxes, plus $0.20 per minute for…

Q: Select all of the following graphs which are one-to-one functions. -5 -1 -3 -3 4 3 -1. -2 -3 -5 -4…

A: Given, the follwing graphs and we need to determine whether its a one-to-one function or not.

Q: Suppose the cost of the production and sale of x units of an electronic product is…

A: Graph of function

Q: If a cannonball is fired with a muzzle velocity of 320 feet per second, it will follow the path of…

A:

Q: What is the relation between the differentiability andcontinuity of a function?

A: All differentiable functions are continuous, but not all continuous functions are differentiable.

Q: Match the function with its graph

A:

Q: Select all of the following graphs which are one-to-one functions. -5 4 --2 A

A: Methods to select a one to one graph is  1. draw horizontal lines parallel to x-axis. 2. If at any…

Q: If a cannonball is fired with a muzzle velocity of 340 feet per second, it will follow the path of…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.