For which intervals is the function positive? 10 Select each correct answer. - (-6, - 4) (-4, 0) (6, 8] (0, 6) -10 -8 -6 -2 0 2 9. 8 10 -2 -8 -10 4.

Q: Find x so that a || b. D. 5x (x + 12) 9-

A:

Q: Evaluate the function as indicated. 91 (P₁, P₂) 91(30, 25) = = P₁+6P2; find 9₁(30, 25). P1 - P₂

A:

Q: Find f −1(5) and f −1(9).

A: our objective is to find f −1(5) and f −1(9).

Q: V-7-x )-7-X

A:

Q: Which set of ordered pairs does not represent a function? O {({3, –5), (–3, –5), (-6, 2), (-4, 6)} O…

A:

Q: Graph the function. -3x for x<0 r (x) = %3D 3/x for x20

A: here we have to plot the graph of the given function r(x).

Q: Give the demain and range of the relation. 4) {(1,8), (-1, -8), (-7, -4), (6, 0)}

A: The given relation is  R= {(1,8),(-1,-8),(-7,-4),(6,0)}

Q: 4 -6 -5 4 -3 -2 2 3 4 5 6 -2 -3 -4 -5 16+ Write the domain of the function using interval notation.…

A: The function is shown in the graph.

Q: If f(1) = 7, f(5) = -3, f(11) = -9, g(7) = 11, g(-3) = 6 and g(-9) = 1, then find g(f(5)). 11 01 6

A: The function and has the values, and .We have to find the value of .

Q: Find all values of x for which rank(A) = 2. 1205 A = x= 0 2 7 x 19 -3 -3 -2 -6

A:

Q: The following is a function: -8 4 -2 0. 2 4 O True O False

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: -5 5. 10 -5 -10 10

A:

Q: Use the graph to find the following. f(-2) = %! What is the domain?

A: Given data: The given graph. The value of f(-2) from the given graph is, f(-2)=-4   Thus, the value…

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.