Create an algebraic model for the function below (cubic or quartic). It must cross the point below, the slope of the tangent at the point must be positive and the function must be concave up at the point. Please explain how you came up with the equation.

Q: We have seen that temperature in Fahrenheit is a function of temperature in Celsius. Is it also true…

A: It is given that Farenheit is a function of temperature in Celcius.And the temperature in Celsius…

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

A:

Q: Determine a function using x and y that models the relationship above.   Part B What is the…

A: here use basic of regression line

Q: Find the slope of the graph of the function at the given point. f(x) = 4(9 − x)2;    (9, 0)

A: Given,  The function is f(x) = 4(9 − x)2;    (9, 0).

Q: Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already…

A: Consider two persons who are driving to a city which is at a distance of 120 miles from their house.…

Q: Graph the function f(x) = (0.6)x by making a table of coordinates. If applicable, use a graphing…

A: Given

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: 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: It is a fact that y(x) = 3x² – x + 1 is a function. Which y-value (output) does this function assign…

A:

Q: Give your own example of a real-life application of function. Identify the dependent and independent…

A: A function is a process or a relation that associates each element x of a set X, the domain of the…

Q: What is meant by Constant function in reference to algebra?

A: If the value of a function if constant for all values of x, then it is called a constant function.…

Q: Try to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Given graph :

Q: f (x) = (x + 1)³ (x – 3)² 2

A: Given: f(x)=(x+1)23x-32

Q: Social psychologists have found that as the discrepancy between the views of a speaker and those of…

A:

Q: Can the graph of a one-to-one function intersect a horizontal line more thanonce? Explain.

A: A one-to-one function f(x) is defined as, Thus, we can infer from the above definition of a…

Q: I used vertical lines to determine if my graph represents a  one-to-one function.Determine whether…

A: To check whether the function is one-to-one or not, we perform horizontal line test (Not a vertical…

Q: You have 200 feet of fencing to enclose a rectangular garden. Express the area of the garden, A, as…

A: Given: perimeter of rectangular garden is 200 feet. we know that perimeter of rectangle is given by…

Q: Find the Domain and Range of functions:

A:

Q: How can we write a formula for this function?

A: The given function is a pair of two lines which are joined continuously. We will find the formula of…

Q: How many x-intercepts can the graph of a function have? How many y-intercepts can the graph of a…

A: A graph of function can have infinitely many x-intercepts. For example: Sine function and cosine…

Q: Differentiate the function below. y=(x2+2)(x2-3)8   The answer is (2x)(x2-3)7(9x2+13) but I keep…

A: Given ,  y=(x2+2)(x2-3)8 Let   u=x2+2     and     v=(x2-3)8 Therefore ,y=uv differentiate with…

Q: It costs $3 per hour to park in a parking lot, with a maximum cost of $12. Explain why the amount of…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: a rectangular plot requires 2000 feet ( in feet ) of fencing to enclose it. if one of its dimensions…

A:

Q: Describe the x-values at which the function is differentiable. x2 y = x² - 4

A: Given: y=x2x2-4, To find: The value of x at which the function is differentiable.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

A:

Q: A shipping crate has a square base with sides of length x feet, and it is half as tall as it is…

A: Square base, with sides of length x feet, and it is half as tall as its wide.

Q: A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an…

A:

Q: A rectangular box is to have a square base and a volume of 50 ft3. The material for the base costs…

A:

Q: Find the point on the graph of the function that is closest to the given point: f(x) = x² , (2,5)…

A:

Q: Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled…

A: It is given that Aubrey and Charlie are driving to a city that is 120 mi from their house and They…

Q: A rectangular box is to have a square base and a volume of 70 ft3. The material for the base costs…

A: Total no of sides=4Area of sides=4xy.sq.ftArea of the base=x2 sq.ftArea of the top=x2 sq.ftVolume…

Q: Social psychologists have found that as the discrepancy between the views of a speaker and those of…

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 9, 6.…

A:

Q: How can you tell if a function is quadratic?

A:

Q: would it make sense for a function to pass through (0,100)? Why?

A: Topic:- function and geometry

Q: Find the points on the graph of the function that are closest to the given point. f(x) %3 х2 - 5,…

A:

Q: Explain why the function has a zero in the given interval?

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: Given that: Rate of fall of snow for the first 2 hours = 1 in/hrRate of fall of snow for the next 6…

Q: Describe the Algebraic Functions?

A: A function involving only mathematical operations like addition, subtraction, multiplication,…

Q: What does it mean to find the zero of a function?

A: Given :  Zero of a function

Q: How to find the derivite of a function?

A: To explain how to find derivative of function:

Q: Victoria kicked a soccer ball laying on the ground. It was in the air for 6 seconds before it hit…

A:

Q: Explain thoroughly and illustrate what it means for a function to be differentiable at a number a

A: First we will give the definition of a differentiable function then we will illustrate it with an…

Q: How does the function f(x)=1/2(x+2)2-3 compare to the parent function? Is it stretched, compressed,…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: Express the area A of a circle as a function of its radius, r. Determine the area of a circle whose…

A:

Q: A water feature on a fountain follows a parabolic path and is represented by the function f(x) =…

A: Let's plot the graph : x -1 -2 0 1 2 3 4 5 6 f(x) -6.75 -15 0 5.25 9 11.25 12 11.25 9

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: Sketch the graph of the function f(x) = x. %3!

A: We know that the function f(x)=x3 maps positive numbers to positive and negative numbers to…

Q: The function f (x) = 15,000(0.88)* represents the value of a car over x years. What is the most…

A:

Q: You want to build a pen for your new puppy, and you want to put it next to your barn. You have 200…

A: Draw the diagram of the pen for the puppy.