c. A person's normal blood pressure increases with age and is approximated by b(x) = + 110, where 2 x is the person's age. The blood pressure for people between 20 and 30 years old should be between what two numbers? Use function notation to express these values. The blood pressure for people between 20 and 30 years old should be at least b(| and no more than b( ) =

Q: The bar graph shows the percentage of people 25 years of age and older who were college graduates in…

A:

Q: 1. f(x) = 4 a. f(-2) c. f(2) b. 2, f(x) = 3*+1 1/2

A:

Q: The value, V, of a computer can be modeled by the function V (t) = 1, 300(.61)", where t is the…

A: The given model is: V(t)=1333(0.61)t Where, t is in years.

Q: when both the dependent and independent values of a function increase, it is said to be ?

A:

Q: The price of 1 L of gasoline is $1.85. On a level road, Bruce's car uses 0.08 L of fuel for every…

A:

Q: What does it mean for a function to be defined implicitly by an equation?

A: An implicitly defined function is a function that is presented as the solution of some equation or…

Q: 8. A car manufacturer determines that its profit odeled by the function P(x) = 0.00125x4 + x - 3, wi…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: The function g(x) = 20,000(1.20)* represents the population of a rapidly growing city x years after…

A: given function:- g(x) = 20,000(1.20)x represents  the population of a rapidally growing city x year…

Q: The function f(x) = -0.001922 +0.8444x + 5 models the height of a launched rocket. The function…

A: To find the height that the rocket was at along its path

Q: The graph of f(x) is shown below. Which function could be the graph of f"(x)? a. с. е. b. d.

A: Consider the graph of the function: fx Find which could be the graph of f'x.   Observe that the…

Q: Based on data from Hurricane Katrina, the function defined by w(x) = -1. 19x +990 gives the wind…

A:

Q: Let f(x) = 10 − 3x2. Find each function value. a. f(2)   b. f(−4)   c. f(x − 1)

A: Since, we have f(x)=10-3x2(a)f(2)=10-3(2)2 ⇒f(2)=10-3(4)=10-12⇒f(2)=-2

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.