x+7, -4 h er. f(0) = 7. f(1) = 8, f(2) = -5, and f(3) = -10, of b

Q: 3. f(x)=-5sin ax+- 江x- +2 2

A:

Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at…

A:

Q: x2-8 If fx)= X-4 where is f not differentiable?

A: Given the function

Q: x2 - 8 If f(x) = X-4 where is f not differentiable?

A: Find where is f not differentiable

Q: f (x) = 2x -7 x* - > x - 2 critical points Find the

A:

Q: 7. Which is the domain of the function x + 8 + V3 – x – - 2 5, f (x) = Vx +7+ Vx + 3 ? (-0, 3) – {2}…

A:

Q: 2x – 3 if x > 0 3x – 1 if x 3], [ƒ 9].

A: Function

Q: V-x + 1 if x2 .

A:

Q: f(x)={0: x is less than or equal to -1, ax-b: -1 is less than x is less than 1, 3: x is greater than…

A: we have to find value of a and b so function to be continous

Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

A:

Q: -3 f( x = 3 – 2 e7, — 2 е -3 18 12 - е z 1. Find domain of f(x)

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 6. f(x) S(x) =-- x-3

A: Given query is to find domain , vertical asymptot and the intercepts of the function.

Q: (4) Find the domain of f(x) = Vx3 – 2x² – 24x. (A) [-4, 0] (B) (6, ∞) (C) [-4, 0] U [6, ∞) (D) [-4,…

A:

Q: 3. Given f(x) = -7x-8-4sin(8)- 3e-6x – 4n² then determine the defining equation of f(x).

A: To determine the defining equation of f(x) from f'(x), we integrate f'(x) with respect to x.

Q: Graph the functions in Exercises 25–28.

A: "Since you have posted a question with multiple sub-parts,we will solve the first three sub-parts…

Q: 3x -2 if - 4sx1 x² + 2x -1 if x< 2 Given f(x) = - and g(x) ={ x+3 5х-3 if x22 x2 find f(0) + g(T).…

A: We can find the answers as below.

Q: Example: Find the PDE, which has a general solution ø(→,2) = x x =0, where is an arbitrary function…

A:

Q: 2) f(x) = {*+ 2 , -1<x<0 0 <x <1 2) f(x) = {* +? х,

A:

Q: (2) = 8 and f '(x) > 3 for 2 < xs7, how small can f(7) possibly be?

A: Topic:- calculus

Q: Piecewise-Defined FunctionsGraph the functions in Exercises 25–28.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: kx,0 6

A: From the definition if the function is probability density function then, ∫-∞∞f(x)dx=1 Here,…

Q: f"(x) = 20x3 + 12x2 + 4 with the initial conditions f(0) particular f(x). = 8 and f(1) = 5. Det

A:

Q: 4. Find the absolute extreme values of f (x) = x²/3 (4 – x²) on the interval [-2, 2].

A:

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: f f(x) = } 2 if x < 1 4 solve for a if f(- 2) = f(4, -x+a if x 21 +

A:

Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3

A:

Q: f(x) =4 on the interval (-1, 4)] Find the critical points of the function

A:

Q: x+4 2x - 3 x2 - 30 if x 5 Find: f(1) - (5) -

A: Given,

Q: Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4

A:

Q: - Ix - 0l (i) f(x, θ) = - 2 (-∞<x<∞) 1 f (x, 6) = 5 -(x-6), 0 <x < 8, -8mθ<o. (ii)

A:

Q: In Problems 37–42, analyze each rational function

A: Hey, Thanks for the question. Since you have posted multiple questions. As per our guidelines, we…

Q: х - 2, for xS -3, f(x) = - 3, for - 3<x<1, 4х, for x2 1

A: Given,

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: sgn (x + 3) if - x2 +9 - Vx² – 9 x 3

A: To solve the following problem

Q: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2 at x = 0.5 using: first backward difference with…

A: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2at x = 0.5 using: first backward difference with…

Q: Graphical Reasoning Use the graphs of f andf −1 to complete each table of function values.

A: Given two graphs of f and f-1, we need to complete the table. From the graph it is easy to find…

Q: 3x - 2 if - 4sx1 find f(0) + g(T). A TT +1 B -1+ n? 2+ TI -3+ 1?

A: Given f(x)=x2+2x-1 if x&lt;25x-3 if x≥2g(x)=3x-2 if -4≤x&lt;-2x+3 if -2≤x≤1x2 if x&gt;1

Q: For the attached photo, find the domain of b.

A: The given function is

Q: The function f(x) = (8x – 1)e® has one critical number. Find it. 4x - x =

A:

Q: If f(x) = 3X, then f'(x)= 3TX A In 3 3TX B In 3 1(3Tx-1) D TIN3(3 )

A: We have to solve

Q: 1 and g(x)=x² +2, then go fmay be expressed as x-2 axa + 2ßx + ¥ χα + βχ - β If f(x)=- g(f(x)) = =…

A:

Q: Suppose that a is a positive number. How many critical points (if any) does the function h(x)= have?…

A:

Q: Sx² +2, x 1' 7. If g(x) = then g'(1) is

A: x2+2 must be chosen since x in g'(x) is 1.

Q: 15 Solve f(x) = g(x), to the nearest tenth, where f(x) = --x² - =x+ 18 and )s shown below. 24 21 18…

A: Consider the given function fx=-34x2-154x+18. The given graph of g(x) is, gx=-x2+13   for   x≥1x-12…

Q: the intervals where the function is increasing and the interval is decreasing  f(x) = 1/3x^3 - 5x^2…

A:

Q: 8. Find f'(0) if f(x) = In(x + 4 + e-3*). A. - 2

A: Given: f(x)=lnx+4+e-3x

Q: 8. Let f(x)=3x-2 then the solution set for which f(x')=(f(x))´ is: 1 a. x=-- 3 1 b. x= 3 1 d. x=±÷.…

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.