Page-1 1 Q1 Find the domain of y = 10 |x-1| |x+3| 25-*א

Q: Assume the point (2,7) is on the graph of y=f(x). Determine the value of n in the following…

A: Given that, Assume the point (2,7) is on the graph of y + fix) f(2) = 7 ---- 11 y = 3  f(x)(2.x) on…

Q: value of k that satisfy the 3 points equation * 0 1[k] 1 = 0 -3] [1. [1 1 [k 1 1]]1 0 Lo 2

A: we will solve this using matrix multiplication.

Q: Question Let k(x) = (-3x² + 2x)g(x)h(x). Given the following table of values, find k' (-2). %3D -2…

A: k(x) = (-3x2 +2x )g(x)h(x) find k'(-2) =? k'(x) = (-6x +2)g(x)h(x) +(-3x2 +2x )(g'(x)h(x) +…

Q: Points K and M are points of tangency. Find the value of x. K 3x - 10 17 M and

A: Two tangent throrem of circleTwo tangent from an external point to a circle are equal in…

Q: Question Let h(x) 2-3z+2 ,what is h' (-5)? 2-4z+4' %3D %3D Do not include "h' (-5) =" in your…

A: We first find h'(x) using the quotient rule.…

Q: -2 -1 2 3 How many dis ntiuous points exist the interval [-4,3] the function with given graph above?…

A: The given graph is,

Q: -5 -4 -3 -2-1 1 2 3 4 5 -4 -5t The graph of k(x) 1 is shown above. The domain of k(x) is: The range…

A: graph problem....

Q: g(x)=3cosx+1 Set g(x)=-2  and solve on [0,2π]. Show all work.

A:

Q: 27+1 Find g'(3) given that f(3) = -2, f'(3) = 4 , and g(x) Answer:

A:

Q: See Attachment

A:

Q: 3. y=-2 sec (x-n) A Interval in one cycle: (Show solutions below) y Domain is a set of x values such…

A: We have to graph the given function and give domain and range.

Q: ax-1 ifx< -1 find the value of af im f(r) exists. 2x+a ifx 2-1

A: The given function is f(x)=ax-1if x&lt;-12x+aif x≥-1

Q: 1 Domain Find the domain of the function. 19. h(x) = In(x² – 4) 20. k(x) = In x|

A: (19) Given function is hx=lnx2-4 We know that logx  is defined if x&gt;0. Therefore, given function…

Q: 7 -2 7 8. a. S(x) = 5 f(x) – 3 g(x), find S (3)?

A: Part a: Given that S(x)=5 f(x)-3 g(x). Differentiating the equation: S'(x)=5f'(x)-3g'(x) Substitute…

Q: 5. A function ƒ has formula f(x) = 3x + 2. (a) Add the missing numbers in its table below. If the…

A: Given :

Q: -2 3 The zero at x - -2 has a multiplicity of Select The zero at x-O has a multiplicity of Select]

A: Sol:   Clearly the graph is having zeros at x = -2, 0 and 3  So Now we to check multiplicity of them…

Q: x+f(x) g(x) If h(x) =. and f(2) = 2, f'(2) = – 5, g(2) = 1, g'(2) = 0, then find h'(2). (A) 2 В) -1…

A: Follow step 2 .

Q: 10+ -10 10 -5- f and g are fonctions and f(gcx) 9cx)= f(x)/gcxs hcx) = How can and qico) 主 find…

A: Derivative

Q: (2 -b 2. Find the value/s of b for which Z=|b 1 -2 1 is singular. 3

A: A system of m×n numbers arranged in the form of a rectangular array having m rows and n columns is…

Q: x²-9 Q.1. Let f (x)={ x-3 . Find the value of k for which |inmf (x)= ƒ(-3) X->-3 k² -5k +6,x=-3

A: f(x)=x2-9x-3,x≠-3k2-5k+6,x=-3

Q: a. Find the domain and range of f. b. Find r"(x). c. Find the domain and range of r. d. Draw the…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Vx+2 2. Let h(x) V3x Find h-1(x). Don't forget the domain restriction What is the Domain and range…

A:

Q: Time x+6 and (hof)(x)= Зх-8 4х-7 Let f(x)= Then h(-3)= %3D %3D 5х-6 of O 9 - 8 stion O 43 73 9 32 51…

A: Find h(-3) given composition of functions

Q: 4 2 2-1 2 -3 -4- -5H of The graph of p(x) 1 is shown on the Cartesian plane. The domain of p(x) is:…

A: the given function is p(x)=1x

Q: a) Find a function f such that f'(x) = 4x2 – 2x – 1 and f(-1) = 2 %3D 2x b) Find the function g such…

A:

Q: oblem Set C 2x+3 Find the domain of the function H(x) .3 x'-4x %3D

A:

Q: 3. y=-2 sec (x-m) A = Interval in one cycle: (Show solutions below) y Domain is a set of x values…

A:

Q: x3, x<2 Let f(x) = Find the values of a and b so that f'(2) exists. ax2 +b, x22

A:

Q: The graph of g(x) contains the point (- 2, 5). (a) Write a formula for a translation of g whose…

A: the graph of g(x) contains the point  . the graph of  contains the point  as we can see here…

Q: 5. Given that h(x) = 5x and k(x) = x - 7, find each of the following. Your answers to parts (a) and…

A: Authoring guidelines: As per the authoring guidelines we can solve only the first three parts of…

Q: 1-5 1 The function f graphed below is defined by a polyno- mial expression of degree 4. Use the…

A: We know, The solution of the equation f(x)=0 are the x-intercepts of the graph of f. The solution of…

Q: 2 -7 35 (g) Obtain the rank of 0 0 17 0 0 51

A: The rank of a matrix is the number of non-zero rows in the row echelon form of the matrix. The row…

Q: The graph of y = f(x) is shown below. 20 10 10 -5 10 10 -20 Which set lists all the real solutions…

A: Given graph of y=f(x)

Q: f(x)g(x) Let k(x) If f(5) = 3, f'(5) = -4, g(5) = -6, g'(5) = -9, h(5) = -5, and h' (5) = -3 what is…

A: Given,           kx=fxgxhx            f5=3, f'5=-4 , g5=-6,g'5=-9,h5=-5, h'5=-3

Q: f(x)= (x-3)-7 Select ALL correct answers O Line of Symmetry x = 0 O Range: [-7, o0) O Domain: [-7,…

A:

Q: 3 onsider the graph above. Complete the statements by dragging the correct answers into the…

A: On behalf of the graph of the function we can see that this function is continuous throughout the…

Q: Domain: Range:-U Zeroes:

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: Theoremi- I f f is q Conve X fanctions Then the level set Cx is a Conver se

A: Suppose f is a convex function. We have to show that the level set Cx  is a Convex set.

Q: Find the root of the following equation: f(x) = x^2-x-2=x with boundaries [1,2]

A: We have to find the root of the equation fx=x2-x-2=x in the interval 1, 2. We can write the given…

Q: x + 3 K /2x - 1 7.

A:

Q: r-1 1 if x+- g(). if r= x 1 Find g(-5), g(-), and g(3).

A: Whenever x≠-1; g(x)=12x-1 g(-5)=12(-5)-1=-5-22=-72 g(3)=12(3)-1=3-22=12

Q: -2 -2 3 -1- 3 The zero at x-3 has a multiplicity of (Select ] The zero at x 1 has a multiplicity of…

A: Topic = Polynomials As per guidelines , at a time only three sub-parts can be answered. please…

Q: √x +3 If f(x, y) = xy + 7 the domain of f(x, y). Select one: True False then the point (1, −7) is in

A:

Q: r- 2 and g(x)=- I. Find all r- and y-intercepts of y = (f -g) (x) 10. Let f(r)

A: First simplify the (f-g)(x) function. y=x-2-sqrt(4-x)

Q: A x)-3 x+2 and g x)- 20+5. Find fo g(5) く +5 メ 2. A x) - 2 x-4 and g( x) - 2 x+ 8. Find go A x). 3.…

A: Topic :- Functions

Q: f(x)=cos2x, -π/2≤x≤7π/2 A. How many cycles are there in its graph B. Over what intervals of x is…

A: Given function, fx=cos2x Interval: -π2≤x≤7π2

Q: -3 State the domain and range of g (x) = + 2. The domain is all real numbers except |and the range…

A: Given function is : gx=-3x-6+2 To find the domain and range.

Q: x-1 Example 3:Find the domain and range of y=, x+2

A:

Q: 2 -2 2 4 Use the graph above to decide if each statement in the table is true or false. TRUE FALSE…

A: Solution:-

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.