The range of f(x)= 3+|x| is

Q: Find the domain and range of the function.

A: Domain are set of values for which the function is defined . It is observed that f(x) is a square…

Q: Find the extreme values on the interval:   f (x) = 6x4 − 4x6, [−2, 2]

A: Derivative determines the change of variable with respect to another variable. When we equate first…

Q: Given the function f(x) = Vx5 – 3Vx2, find the interval(s) of increase.

A:

Q: Find f'(x) for f(x) = e5a+2x

A:

Q: If f (x) = (e²)² , what is f'(x) ?

A:

Q: If f'(x) = 2x- x-2, then f has inflection point(s) with x – coordinate(s) equal to

A:

Q: If f(x) = (x² +2) e², what is f'(x)?

A:

Q: What is f(x) – g(x), if f(x) = x2 - 2x + 3 and g (x) = - (2x + 3)?

A: Given: f(x)=x2-2x+3 and g(x)=-2x+3

Q: Determine the values of x for which f (x) = 1x − 4 is increasingand for which decreasing

A: fx=1x-4 Differentiating with respect to x, we get f'x=-1x-42    ∵ddx1x=-1x2

Q: Find ao of the function f(x) =÷(n - x)² 4

A:

Q: Find the extreme values of f(x, y) = x² .

A: Given,                f(x, y)=x2+2y2                           ...(1) Subject to…

Q: What is the range for f(x)=|x+3|

A:

Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: How do I find f(x+h)?

A: We plug x+h in place of x

Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

A:

Q: The function f(x) =2x² – 3.x² – 12.x is increasing on: |

A:

Q: Find the intervals on which the function f(x) = x² - 6x + 10 is increasing and decreasing.

A:

Q: What is the range of f(x)=1/(x^2)-2

A: Our Aim is to find the range of f(x)=1x2-2-(i)

Q: what is the range of  f(x)= (1/(x^2))-4

A:

Q: find the Domain and Range: f(x) = V1-2x

A:

Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

A:

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: What is the domain of f(x) ? What is its Range  f(x)=3/x

A: We calculate the domain and range through graph.

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: f (x) = 3.x5 5x3.

A:

Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

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Q: Find the intervals on which the function f(x) = x² – 6x + 10 is increasing and decreasing.

A:

Q: Find the intervals on which the function f(x)=x−4x2 is increasing and decreasing.

A: Given function:

Q: What is the range for f(x)=2|x|-3

A: Consider the function  f(x)=2|x|-3

Q: What is the range of  f(x)= -x2+2x-4

A: Use the online graphing calculator and draw the graph of the function as shown below.

Q: 1. If f(x) = 2x – x² and g(x) = |x – 3|, find the value of f(-2) + g(-2)

A:

Q: Find the intervals of increase and decrease for the given function. f (x) = x2 + 4x + 3

A: A function is  increasing on an interval, where the value of the first derivative of the function…

Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

A:

Q: find the value of f(x) at x 10:

A: Given, x 9.3 9.6 10.2 10.4 10.8 f(x) 11.40 12.80 14.70 17.00 19.80 To find the value of f(x)…

Q: Find all the possible x-values of f(x)=√x - 2

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Q: Solve for X if F=G/2x

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Q: If we restrict the domain of f(x)=x²+5 to (-2, 1), then the range of f(x) is?

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Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

Q: What is the value of In[f'(2)]if f (x) = e*?

A: Our Aim is to tell the value of ln f'(2) if f(x)=ex-(i)

Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

A:

Q: Find a number c that satisfies the conclusion for f(x) = x + x-1 on the interval [0, 2]

A: Answer is 2/√3

Q: Find the range of f{x}=x² +5x+6. O (00, 0) O (o, -1/4] O -1/4, )

A: Topic = Functions

Q: The fixed-points of f(x) = (x² + 2) a and

A:

Q: What is the domain of f(x)= 1/x? What is its range? The Domain of f(x)= 1/x is The range of f(x)=…

A: Given function:

Q: Find the absolute maximum and minimum values ​​of the function f(x)=x2−3x2+1 in the interval [-1/2,…

A:

Q: the domain of the function f(x) = 3x - 2 is D= {x|x ≥ 1}. what is its range?

A: The given function is, fx=3x-2 The domain of the given function is given as, xx≥1

Q: What is the range of {(x,x³) | x E N} ?

A: Solution - Domain is the set of natural number. x € N  X = (1,2,3,4,5,...........)

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.