The graph below shows the equations f(a) and g(x) where f(a) = -2a, and g(x) = -2. -2 -6 Which option identifies the solutions for the equation f(x) = g(x)? A r = 0 and = 2 %3D B. r = 0 and a 2 a = 1 and a =-1 D. 2 and r= -2

Q: f(x) =x−7 / x+5 Determine if there are any holes. If so give the coordinates of the hole

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Q: 1. f(x) = x3- 3x2 -9x-5

A: NOTE- Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: 1) Sketch the graph of the equation. 6x = −7y + 42   2) Sketch the graph of the equation.   r(x) =…

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Q: Graph f and g in the same rectangular coordinate system. Then find the point of intersection of the…

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Q: Find the x- and y-intercepts of the graph of the function f(x)=−3|x−5|+6.

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Q: 2-61. Enlarge the shape at right from the origin by a scale factor of 4.

A: For any geometry of we want to enlarge by some factors then we have to multiply with some constant.

Q: x²-x-20 18. Find the coordinates of the hole in the graph of f(x) = x² +7x+12 Hole:

A: Hole is at x=-4.Explanation:

Q: f(−3)=10f(−3)=10 and g(−3)=−2g(−3)=−2 Step 1 of 4 :   Find (f+g)(−3)(f+g)(−3).

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Q: graph the equation f(x)= 3x+4.

A: Given:

Q: x-2 ifx<2, 3x 2 if x2 -2

A: Given:-     To find:- Graph the equation

Q: A rock was slung from a sling shot off the top of a building. The height of the rock, relative to…

A: The height of the rock,r(t)=-16t-1.752+289r(t)=-16t-6t+2.5r(t)=-16t2+56t+240

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.