Suppose the height of a firework shell in feet can be modeled by the equation H(t)=-50t^2+450t where t is the time in seconds since ignition a)Complete the table of values and Sketch the graph (Label the axis with words) b) What is the domain and range of the function in the context of this problem situation (relative domain and range)? c)What is the abstract domain and range of the function - not in the context of this problem situation? d) Find and interpret H(8)

Q: How would I find parallel and perpendicular slope for a function

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Q: Explain how the vertical line test is used to determine whether a graph represents a function ?

A: For function we know that it is should be one-one or on to for one-one at one value of x .It is…

Q: Give an example of a function you used in everyday life. Determine the domain and co- domain.…

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Q: Can a function also be pictured as an arrow diagram?

A: Yes, a function can be pictured as an arrow diagram. To picture a function as an arrow diagram the…

Q: What is the domain and range of y= 2-x Is it a function?     Please provide solution thanks!

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Q: Should I simplify a quotient function before finding its domain?

A: No, we have to find domain first then simplify the rational function or quotient function . If we…

Q: Give an example of a function you used in everyday life. Determine the domain and co- domain.…

A: We will find the required function.

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Q: Can every curve in the coordinate plane be the graph of a function? Why?

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Q: x2- 1 2) *+1 1) x+2 3)

A: Explanation of the solution is given below...

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.