Suppose that fis a linear function such that f(3) = 6 and f(7) = 3. Find the equation for f. (Use x as the variable. Round equation parameters to two decimal places.) f(x) = Need Help? Watch It Read It O Show My Work (Optional) ? Submit Answer Submit Assignment Save Assignment Progress

Q: Plot the Finction. 1

A:

Q: An equation representing a function that extends from quadrant 2 to quadrant 4 is a. y = 2x³ C. y =…

A: The graph of function in a. does not extend from quadrant 2 to quadrant 4.

Q: Write an equation for a function that has the graph with the shape of y= x, but reflected across the…

A: We can find the answer as below

Q: : numbers in the domain of a function that cause its derivative to be zero or undefined.

A:

Q: Suppose DeAndre starts a company in which he incurs a fixed cost of $1,550 per month for the…

A: Given that the fixed cost is $1550 per month and the production costs are $38.50 per item. we have…

Q: use the two given function to write y as a function of x.  y=2m-5, m=x+5 / 2

A: We have, y = 2m-5m = x+52 To determine: The expression of y as a function of x.

Q: We are to take a piece of paper and fold it in half and record the number of regions it shows. So, I…

A: To find an equation to determine the number of regions, R, as a function of a number of folds.

Q: Find the equation of the following function. Make sure to show your work. (Hint: try using a point…

A: Equation of the given function is in two parts. They are as given below: -∞<x≤-1 and -1≤x<∞

Q: Tourism Spending The equationy = 1.69x2 -0.92x + 324.10,with x equal to the number of years after…

A: The given equation for tourism spending is y=1.69x2-0.92x+324.10 In above equation x is number of…

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: Differentiate the function. y = 2x/2 - 3x

A:

Q: Multiply the 1st equation by 2 to make -10y. 2x - 5y = -12 3x + 10y = 50

A:

Q: Determine which of the following functions:can be used to model the data and determine the value of…

A: The modelling of a set of data is done to obtain the relation between the variables. This relation…

Q: Differentiate the function.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Review later 4. State the number real and imaginary zeros of the following function: f(x) = x – 3x4…

A:

Q: y = Va+1-3

A:

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.