8) Given the following piecewise function f(x): 2x + 7, if x s -2 f(x) = x²- 5, if x > -2 10T a) Graph f(x) on the given axes 6+ s+ ++ ++ 194 -10 -9 -B -7 -5 -5 -4 -3 -2 -1 9 10 -3+ -++ fnd -5+ -6+ -0+ b) Evaluate f(1) -9+ meanlg 40- c) Evaluate f(-4)

Q: Match the function with its graph. f(z) = – 2(x – 3)² 6+ 4 -3 -2 -1 -6 -5 -4-3 -2 -1 -6 -3 -2 3 4 5…

A: The function is given by f(x) = -2x-32

Q: In the function f(x) = a(x + 2)(x – 3)%, a and b are both integer constants and b is positive. If…

A:

Q: The critical points of the function f(x)= 3x -36x+1 are

A: The critical points of a function are the points at which the function is defined but its derivative…

Q: 2x+3 if x<-1 Graph f(x) = -2 if -1<x<2 on the graph below. 1 -2x if x22 y 5. 4- 3 2- 2 -5 -3 -2 -1…

A:

Q: 2x + 5 if z 1 8 7- 5- 4+ 3- 2+ 8 -7 -6 -5 -4 -3 -2 -1, i 2 3 4 5 6 7 8 -2- -3- -4- -5- -6- -7 -8

A:

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: Given  R(x) = x(75-4x) Since the graph of revenue function passes through (0,0) as at x= 0 R(x) =0…

Q: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

A:

Q: 1/3 Find the ABSOLUTE MAXIMUM AND MINIMUM VALUES for f(x)=9x"3-2x n [-8, 27].

A: Given,           fx=9x13-2x  on  -8,27

Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

Q: Here is the graph of y = 2x – x². 2- 1- -5 -4 -3 2 3 4 y -1- -2- Find two possible functions f(x)…

A: We need to find inverse function.

Q: 1.5x +6 if x 2 7. 3- -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 8 -2 -3- -5 -6- -7 Note: Be sure to…

A: Given: Functions

Q: If f(x) =x2-8x-3, find the maximum and minimum values of f on the closed interval [-3,5] O a. f (x)…

A:

Q: 3) Solve the problem. 3) Use the graph of y = f(x) below to graph y = 5f (x) 10+ 9- 7- 6- 4 5 7 X A)…

A: if we have function f(x) and we multiply it with any constant say k  if k &gt; 1  then graph will…

Q: Draw the graph of f(x) = 4² +4 10+ 7- 6- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 I 2 3 4 5 6 7 8 9 ic -1 -2 -3…

A: We know that, the graph of the function fx=4x is given as As we know that, the graph of the…

Q: 2. Graph the function: f(x) = S 3x 3x if x < -1 (2x +1 if -1 < x < 3 -2+ -3+ -5+ -6+ -7+ -8+ -9+

A:

Q: {2*+1 if x<0 etch the graph of f(x)=X+3 EO

A: We will graph the problem.

Q: Draw the graph of f(x) = 3² + 1 101 7- 6- 5- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 i 3 4 5 6 7 8 9 ic -2…

A: If we equate the given function f(x) to zero So, 3x-1=0     3x=1     x=0      (Since 30=1) It means…

Q: Find the absolute maximum and minimum of the function on the interval 0, 11/2. p3 2x if x 4 3

A:

Q: Suppose that  3 ≤ f ′(x) ≤ 4  for all values of x. What are the minimum and maximum possible values…

A: Given inequality is:  3 ≤ f ′(x) ≤ 4 To find: Minimum and maximum possible values of f(4) − f(1). To…

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: If f(x) = ax4 + bx3 + cx2 + dx + e, determine a, b, c, d and e so that the graph of f will have a…

A:

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: A). Answer is option B.    B). 115/8 million chips   C). 826.5625 million

Q: Consider the image attached of the graph of a function y = g(x) on the domain -8 <= x <= 8, which…

A: Label the points on the given graph as shown below.

Q: B- Find the extreme points of the function F-X, + (X+1)²+ (X+1)? Find the objective function to the…

A: Let us consider a function f(x,y) then the extreme point is obtained as  Find the value of…

Q: 1. How many point(s) of inflection are on the graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x2 -…

A:

Q: Given the function f(x)= - (x+4)3, which of the following statement talks about its relative and…

A:

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: Given, Price demand function = px =90-4x  Revenue function = Rx = xpx = x90-4x   Where x in millions…

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: Solution is here

Q: Suppose f(x)=-16002x^4+3201x^3-20578x^2+4017x+15 a.What is the “end behavior” of this function?…

A: Consider the function: a) End Behaviour: fx=−16002x4+3201x3−20578x2+4017x+15 When x goes to infinity…

Q: Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

A:

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: (A) Graph of revenue function R(x)=x(90-4x)=90x-4x2 will be So, (A) is correct answer.

Q: What is the relative maximum value of the functionf (x) = x³ – 6x? + 9x – 12? f(x) has a relative…

A:

Q: -x – 5 if æ 4 Sketch a graph of f(x) = 1 %3D 6+ 4+ -8 -7 -6 -5 -4 -3 -2 -1 -2 -4 -5- -6- -7-

A:

Q: Find the critical points of the function f(x) = 2x3 + 3x2 − 12x + 5.

A:

Q: If f(x)=1/5x^5-3/4x^4-4/3x^3+60, then what is the set of x values for which f has a relative…

A:

Q: 1. Sketch the graphs of the following functions: N(a) y=x² y= 3x2 y = 4x y =-3x ² y=-4x2 y=ー ー=へ)…

A: Since you have posted question with multiple subparts , we will solve the first three subparts for…

Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is given by…

A: Given query is to maximize the revenue.

Q: Q5- Show that are eventually fixed point for the function: '5' 4x 0 <x < く 2 - 4x <xく f(x) = 4х - 2…

A:

Q: If the domain of f(x) = x2 – 2 is limited to {0,1,2,3}, what is the maximum value of the range?

A: The domain of a function f(x) are the set of x values for which the function f(x) is defined whereas…

Q: x2 – 16 This Graph of f(x) = %3D x – 4 4, but the function is undefined at x = limit as x → 4…

A: Given function is fx=x2-16x-4. We know that a rational function is defined if it's denominator is…

Q: Suppose (12,4) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A: Given that f(12) = 4  We will use this fact to find the answer as shown below

Q: x +2 ()** Draw the graph of f(x) |10 구 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 -2 -4 -5

A:

Q: (2) Find all the points of discontinuity of the function S(x) = } x + 2 (x2 – 4 1<x< 3 x2 3

A:

Q: The function f (x) 4 +3 3x2 + 20 has all the following critical points except 3 -- (А) 4 (в) 2 -3

A: For critical points put first derivative=0

Q: We found that the marketing research department for the company that manutactures and sells memory…

A:

Q: 4 3 Find the maximum and minimum values of f(x) = x* + x° – 2 on the interval [- 2, 2].

A: Given that f(x)= x4 + x3 -2 and we find maximum and minimum value in the interval [-2,2]. Here i…

Q: Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.

A:

Q: (-x – 5 x < -2 x -1 -2 < x < 2 -+3 2<0 Graph f(x) = 4 3 2 1 -6 -5 -4 -3 –-2 -1 -1 1 2 3 4 5 6 -3 -5…

A: given,

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: You need to maximise the revenue function. That is the differentiation of revenue function set to be…

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.