9 - x (x - 5) (2· x + 3) f(x) = %3D

Q: 9. f(x) = x³ + x² –- 17x + 15 10. f(x) = x² – 8x + 7

A:

Q: 12. f (x) = 3x − 1 \frac{f(x)-f(1)}{x-1}

A: fx=3x-1

Q: 7. f(x) = x³ + 7x + 1

A: We have to find the end behavior that means function value when x tends to infinity.  ( by the way…

Q: -343x x = -2 g(x) = { (x – 1)(x+ 2) x = -1 | a3 – 22 +1 , x + -2, –1 g(1) =

A:

Q: (x+2x+3)(5-x) 10. g(x)= 3x+2

A:

Q: 5. f (x) = -x² (3x + 7)(x – 2)(x + 1) %3D

A: We have given f(x) = -x2(3x+7)(x-2)(x+1)  We have to find  1) roots of this function 2) end…

Q: 2. f(x) = x +8 Domain: Range: 3. f(x) = 9 Domain: Range:

A: 2. Given a function, f(x)=x+8

Q: f(x) = 5x csc x 7 f (x) = 100 + 2cosx – 3x+x 3.

A: *formula:- d/dx (cscx) = -cscx*cotx. d/dx (x^{n}) = nx^{n-1}. d/dx (cosx) = -sinx.

Q: 1 g(x) (1 – x)3'

A:

Q: (x +2x+3)(5-x) 10. g(x)= 3x+2

A: We will use u/v formula for derivative to find the required result.

Q: 4-3 520 F H X

A: apply cosine rule cos 52o = HF/FG HF = Cos 52o * FG HF = 0.61566 * 4.3 HF = 2.6

Q: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

A:

Q: Зх — 5 3x f (x) = х+2

A:

Q: x²-4 f(x) = In2-3x-4,

A:

Q: 3) f(x) = x² + x 4) f(x) = x° - 4x²

A: To differentiate each function using the definition of derivative. 3). Given function is fx=x2+x.…

Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

A:

Q: 回+9=X 8=回+回 +億粉+( G-回=1 +A-=

A: We will solve the puzzle by assuming variables for the shapes .

Q: (7-x2)dx 3x3-2x2-x

A: Let I is the value of given Integral.

Q: 4-x 10. f(x)=- x+1

A:

Q: 2 |12-x²+ x) dz. -3

A: Given: ∫-32(2-x2+x)dx

Q: f(x) = x^2 - 12x + 35 g(x)= x -5 (f+g)(-4) = (f-g) (-5) =

A:

Q: ∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)

A: The given equation is,

Q: 7. F(x) = (х - 2) 8. F(x) = (2x– 7) (x+4)

A: Find the first derivative of 7. Fx=xx-28.Fx=2x-7x+4

Q: 2 4x f(x) = * - 9 I + 2

A:

Q: 5-2x 13. f (x) = 3+2x

A: Given: f(x)=5-2x3+2xwe know that defination of derivative is…

Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

A:

Q: 15 + 3x 3) g(x) = 5 f(x) = -x – 5

A: Consider the given functions, gx=15+3x5fx=-x-5   Calculate gfx and fgx.…

Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: 51. f(x) = √2-3x²; f''(x)

A:

Q: 19. g(x) = 3x2 %3D 21. g(x) %3D (2х)2

A: Here multiplication will not affect any major change in the graph. Because the origin point will…

Q: 8) f(x) = 2x + 5; g(x) = 3x - 1 Find bo

A: Givenf(x)=2x+5g(x)=3x-1

Q: [ 1-x+2x²-q³ -d.x 6. x(x²–1)²

A:

Q: f'(x) = -2xe f"(x) = (4x² – 2)e- f(4) (x) = 4e* f(3) (x) = -4xe-" (2x² – 3) (3 –12x² + 4x*)

A:

Q: 2. f(x) = - 2x + 6 g(x) = - x/2 + 3

A: Given: fx=-2x+6 gx=-x2+3 fgx=-2-x2+3+6           =x-6+6           =x gfx=--2x+62+3…

Q: 50. f(x) = 12x/1- x/x+1 3

A: Given : fx = 12x1-x3x+1

Q: x-2, xS-2 3) f(x) = %3D (-x-3, x>-2

A:

Q: 2. f (x²-16) ²/2 dx x3

A:

Q: 5х + 4, x < 0 f(x) 5x + 8, х2о (а) f(-1) (b) f(0)

A: In this question we will use basic of algebra i.e finding vale of function at a point. we will…

Q: 4. f(x) 5. f(x) = 8 - 25x 3x²+5x-20 [-3, 3] (-2, 2)

A: To find the extrema of the following functions :-

Q: 1 g(x – 2) (x – 4)(x + 2) ii) 2(Vx² – x + Vx – 8) 2 iv) g(x² + 6)\F(-x) = x2(x + 1)2

A:

Q: x2+7x+10 4. f(x) = %3D x+5 x+1 5. f(x) = x2-3x-4

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2 f(x) = x² - 9 %3D (- 4,f(– 4)) = (0,f(0)) = (4,f(4)) =

A: Given that  f(x) = 2/(x2 - 9)  We need to find the following points. Now, f(-4) = 2/((-4)2 - 9)…

Q: 1. f(x) = -2x 2. f(x) = -2x + 2 3. f(x) = -2x² – 5

A: Given: fx=-2x, fx=-2x+2, fx=-2x2-5 We know that ddxxn=nxn-1…

Q: 3. f(x) = x³- 2x + 3x-3 4. f(x) = 8x +

A:

Q: 6. f(x) = 8x³+81x²-42x-8 *no need to sketch x+4 7. f(x) = 2x++x+8 8. f(x) = x³ +7x² - 5x

A:

Q: 15. g(x) = x² - 10x + 11 %3D

A: We have to write the quadratic equation in vertex form and write its vertex.

Q: 40. f(x) = -x' + 3x + 7, %3D

A:

Q: 4. f(x) = 10-5x² 5. f(x) = e[ 6. f(x) = /In(e 3x + a³x) %3D

A:

Q: 47. f(x) = (x- 2) %3D 50. f(x) = -x + 4x %3D

A: Concept Used: Degree Leading coefficient End Behavior Even Positive Even Negative Odd…

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.