3. Using the interval notation, find the domain of the following functions (show all work and explain your reasoning in complete sentences): a. f(x) 6x2 + 11x - 10 2x+5 b. f(x) C. V-3x+2

Q: Determine the inflection points and the intervals in which the function: F(x) = 6x* + 2x³ -12x² + 3…

A: Given that F(x)=6x4+2x3-12x2+3 we have to find the interval of concave up and concave down.

Q: What is the domain of the function g(x)=x2-3 use interval notation

A: Given: gx=x2-3 The domain of a function g(x) is the set of all values for which the function is…

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

A:

Q: . Algebraically find the domain of the function in interval notation. f(x) = v3 + 5x

A:

Q: Determine the number at which the function f(x) = (2x - 3)/(3x3-24) is discontinuous. Answer:

A:

Q: What is the domain and range of the function. F(x)=6x2+4 Use interval notation

A:

Q: I have this function: f(x) = (x + 5)/(x^3 − 9x) I think I am told the domain is {+-3,0} But why does…

A: The domain that you are told is wrong, and definitely domain will also include -5, please take a…

Q: 5. Use the equation to classify the function as odd, even, or neither. g(x) = 4x3- x %3D

A:

Q: What is the value of k in the function f(x)=112-kx if f(-3)=121

A: Put x= -3 in given function and solve for k,

Q: find the domain of the function f(x)=-3x2+2x-3 write in interval notation

A: Solution of the problem as follows

Q: Consider the function f(x) = 2x² – 2 for x > 0. %3D What is the domain of f-(x)? Write your answer…

A: The given function is the one-one function in the given domain.   Replace f(x) by y and then…

Q: The absolute maximum of the function f(x) = 3x² + 3x + 14 over [1, 7]. 182

A: We have to find absolute maxima of the given function   the function is  3x2+3x+14   Over the…

Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: Find the domain of the function written in interval notation. f(x)= square root of x-4 divided by…

A:

Q: For what value of x does the function g(x)= (x²- 4)² attain the absolute maximum in the interval…

A: The given problem is to find at what value of x does function attain absolute maximum, we have to…

Q: Consider the function f(x)=4x2+9 for x≤0. What is the domain of f−1(x)? answer in interval…

A:

Q: Find the domain of the function (using interval notation). 2x - 5 f(x) : х2 +х — 6

A: The set of the values of x for which the value of y is real is called domain of the function

Q: What is the domain and range of the function fx) = 3y +27 %3D Enter your answers in interval…

A: This question related to real valued function. Solution is given below.

Q: x9 + 7X -3 %3D anction f(x):

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

Q: The interval for function 5x - 3 < 7- 3x is .2

A: Given : Function 5x - 3 ≤ 7 - 3x 5x - 3 - (7 - 3x) ≤ 0 5x - 3 -7 + 3x ≤ 0 8x - 10 ≤ 0 8x ≤ 10 x ≤…

Q: 9. What is the domain and range of the function f(x) = x² + 4

A:

Q: what is the end behaviour of function f(x)= 2x^2 -3x^5 -8

A: The following table gives the end behavior of any function by knowing its degree and Leading…

Q: Write the domain of f(x)= Vx+3 in interval notation.

A:

Q: Find the domain of the function in interval notation  g(x)= x/ x^2-49

A: We need to find out the domain of the function given.

Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

A: Since f(x) = -2x(x-3)(x-5)  is a cubic polynomial. And we know that the domain of all polynomial…

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: 7. Find the domain of f(x) = V² + 2x – 3 and write it in interval notation.

A: The solution is given below.

Q: Find the domain and range of the function. (Usel interval notation.) f(x) = 9x

A:

Q: The domain of the function f(x)= sech-1(21 - ) is [380, A), Then The value of k = The value of A =

A: Given function is f(x)=sech-121-xk Since sech-1x=ln1+1-x2x here, 1+1-x2x≥1 ⇒ either x≥0or x≤1

Q: 6. For the function in vertex form, f(x) = 2(x+ 3)² – 5, change to the equivalent standard form by…

A: in multiple question we are allowed to answer only first one .

Q: A student writes the following for the function f(x) = (x-2)/(x^2-8x+8): "The domain of f(x) is…

A: Given: x-2x2-8x+8

Q: Given the function f' (x) = -x3 + 12x2 f' is incileasing. 36x, determine all intervals on which

A:

Q: What is the range for the function: f(x) = (x+4)2 - 4 in interval notation? The domain is…

A:

Q: What is the domain of the function f(x) x - 2 x + 4

A: Concept - If there is function f(x), then for f(x) to be defined the numerator should never be…

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

A:

Q: The functionh is defined as follows. x²-4x-32 h (x) = 2-4 Find h (-3). Simplify your answer as much…

A: Answer is -2.2 Explanation is given below

Q: Find the domain and range of f(x) = 3(9x +7)2 – 7. Express your answer in interval notation using…

A: Given: The function is,

Q: What is the domain of the function f(x) = √[(x-1)/(x+4)]?

A: fx=x-1x+4

Q: 2. Write the absolute value function as a piecewise function: f (x) =2|1-x|+ 3

A:

Q: 3. Given f (x) = 5x² and g(x) = Vx – 3 , what is the domain of (f • g)(x)? Write your answer in…

A: f(x)=5x2, g(x)=x-3

Q: What is the domain of the function f(x) = x2-49? The domain is . (Type your answer in interval…

A: To find the domain of the function f(x)=x2−49.

Q: What is the domain of the function f(x) = √[(x-2)/(x+4)]?

A: Given :                      f(x) = x-2x+4    To find :                     The domain of the…

Q: Consider the function f(x)=2x^2−2 for x≥0. What is the domain of f−1(x)?  answer in interval…

A: Domain set of all input values where f defined Range set of all output values

Q: Determine the domain of f(x). Give your answer using interval notation. 2. if 1 sxs 6 f(x) = x2 -…

A:

Q: Determine the domain of f(x). Give your answer using interval notation 4 if -1 xs 6 x2 12x27 4х + 5…

A: Consider the given function.It is known that the domain of the function is the set of all inputs for…

Q: Graph the function on the interval [-5, 1). f(x) = [[x+5]] 5- 4- 3 V

A: Break the function as a branch function as in next step.

Q: Find the domain of the function. (Enter your answer using interval notation.) x, g(x) = 4x2 + 3x - 1

A:

Q: Consider the function below. a2 – 9 - f(x) %3| х — 3 - What is the Domain? What is the Range? Enter…

A:

Q: Determine all the points of inflections of the function f (x) ex²-2x²-5x + 8

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.