2 4 for x > -3 . 3 Graph f(x) - a. The function is defined for x -values -3. (Enter less than, less than or equal to, greater than, or greater than or equal to in the blank.) b. When the function is evaluated at -3, the value of the function is c. The corresponding ordered pair for the point found in part b is

Q: 2. Determine the absolute extreme values of fx) if the graph of f '(x) is shown below. -5 4 -3 a. 0…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 6- Complete the description of the piecewise function graphed below. -6 -2 -2- -5- 8- { if -6 <x < -…

A: Will find this function by finding the equation of the three different straight lines.

Q: 2. The function R(x) = -1.07x² + (K + 12.3)x – 116 shows the relation between the revenue (R) and…

A:

Q: 3) Use the graph of f(x)-Сах to determine values for C and a -3 3

A: It is clear from graph that when x=0 , f(x)=3 , that is f(0)=3, using this , we can calculate C.

Q: 5. 5) For the function below, give all the important information about its graph. f(x) = 8 -csc(14x…

A:

Q: Analyze the graph of the function f(x)=4|x+9|+12 compared to the graph of the absolute value…

A:

Q: 3. Using at least 3 points, graph the function f(x)=2*

A:

Q: Q.2 Apply vertical line test to show that the graph of the function 4 =1 does not 9. represent the…

A: To Determine: Apy vertical line test to show that the graph of the function does not represent the…

Q: Which statement is true for the graph of f(x) = 2r – 6x2 – 48x + 24? O (4, –140) is a relative…

A:

Q: -5 If f (x) is the function whose graph is shown, on which interval is f constant? -5- Use cursor to…

A: We know that the graph of a constant function is symmetric with respect to the y-axis. That is…

Q: 3. Given the graphs for f (x) and g(x): f(x) g(x) a) f(g(3)) = H101 Find x when g(ƒ(x)) = 9

A:

Q: 23. List the sequence of steps required to graph the function f (x) = -(x - 4)2 – 6 %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (a) To obtain the graph of g(x) = 4X - 1, we start with the graph of f(x) = 4% and shift it-Select--…

A: We have to solve the problem by using the rule of transformation of graph.

Q: 36. Graph the function x 20 f(x) x< 0. Why is f(x) called the integer part of x?

A: Sketch the given function as shown below.

Q: 2. Complete each sentence with horizontal stretch, vertical stretch, horizontal compression,…

A: Given: (a). The graph of h(x)=(2.5x)3 is a ................of the graph f(x)=x3 toward…

Q: a) Explain, without graphing the equation, why 2r² – 1 = y is not the equation of a function. Be…

A: This question can be solved using the basic criteria for an equation to be a function.

Q: S3-x ifxs3 et f(x) = x+3 if x > 3 (a) Evaluate f(-4) and f(3). (-4) = (3) = (b) Sketch the graph of…

A:

Q: -6x - 18 if x -3 fy the general shape and direction of the graph of this function on the interval…

A: We are asked to identify the general shape

Q: 4. Determine if the relations given by the graphs below give y as a function of x. If so, determine…

A:

Q: 56. Explain how the graph of f(x) = mx + b can be used to solve mx + b >0.

A: The graph of fx=mx+b is a straight line with slope m and y-intercept b.

Q: The graph of a function is given. y 1.4 0.6 0.2 For which x in the range shown is the function…

A: Function is said to be increasing if slope of graph in that range is positive and for decreasing…

Q: 5. Graph the function: f(x) = {,2 s-4x – 3 for x < 0 for x 2 0

A: Note: As per Bartleby rule, only one question can be solved at a time. So, kindly post other…

Q: 6. Given the graph of f(x), y -50 0 100 200 X- 300 -2 -3 -4 -5 -6 a. Estimate f(50). b. Estimate x…

A:

Q: 13. Is the following the graph of a function? Why or why not? 14. For the function f(x) = x² + 5x –…

A:

Q: On how many points is the function discontinuous with given graph? 3 4

A:

Q: on a piece of paper graph f(x) 2x if x <3…

A: Y = 2X      IF X&lt;3 Y = 4        IF X&gt;3 PLOT THE GRAPH,

Q: 4) Graph the function f(x) = x² and g(x) x² + 7

A: Graph.

Q: left, right, upward, downward (a) How is the graph of y = f(x - 2) +1 obtained from the graph of f?…

A: Given (a) y=f(x-2)+1

Q: The function R(x) = –1.07x² + (K + 12.3)x – 116 shows the relation between the | revenue (R) and…

A: To graph the below function and to show in the graph the maximum revenue value.…

Q: 14. The graphs of f(x) and g(x) are shown. What is g(f(4))? 3 -5 -4 -3 2 1-3

A: Please refer the attached image for complete solution. THANK YOU.

Q: 3. The graph of the function y = f(x) is shown. ( y=x - 2x-3 Which of the following corresponds to…

A:

Q: 2. The graph at the right is of a plecewise function f(x). Write definition of the function f(x).…

A: The objective is to write f(x) by observing the graph.

Q: 25 Select the correct answer. Consider the graph of the function () = e². %3D y 5- 4- 3- 2- 1 -5 -4…

A:

Q: 4. Graph the piecewise function 3 if -1 2

A:

Q: what is the answer for a? The graph of f behaves like y = [  ] for large values of |x|. Is it…

A:

Q: The accompanying graph is a sketch of the function y =f(x) over the interval 0<x<7. -3+ What is the…

A: The expression (f ∘ f)(6) represents composition of functions. This expression when expanded means…

Q: 10. The basic function y x1, write a rule y = f(x) that would produce the graph below. 10 5 10 5 10…

A:

Q: 4. Describe how the signs of h and k affect how to obtain the graph of y = f(x – h) +k from the…

A: Here, the objective is to describe how the signs of h and k affect the graph of function y=f(x-h)+k.…

Q: 5. The graphs of f(x) and g(x) are shown. What is g((4))? f(x)

A: Solution :    From given graph   f(4) =-2  ,  g(-2) =-4

Q: The graphs of f (z) and g (z) are shown. 30 25 20 15 10 -6 -5 -4 -3 -2 -10 -5 1 2 3 4. -10 -15 -20…

A: Consider the given graph of fx and gx. We have to find the value of x, when f'x=g'x. From the given…

Q: [5] 1. Describe how to obtain the graph of g from the graph of f(x) = √x. f(x) = √√x - 3+2 3 to the…

A:

Q: 3 Graph the function y =x-3. 10 8. 4. -2 -6 -8 -10 -10 4 -2 2 4 6 8 10 ? y = -x-3 4

A:

Q: The graph of y = x3 2x + 6 - Increases on (-) Decreases on Decreases on Increases on (2, 00)…

A:

Q: Use the graph of y =f(x) to answer the following. 4. 3- -1- -2- -3- (a) Determine f (-5). (b)…

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

Q: On how many points is the function discontinuous with given graph? 4 5

A: From the above given graph we to determine    At how many points the function is discontinuous

Q: 2. The function R(x) = -1.07x² + (K + 12.3)x – 116 shows the relation between the %3D revenue (R)…

A: The given function is  R(x)=-1.07x2+(K+12.3)x-116

Q: Q 2:- Determine the open intervals on which the graph of f(x)= x +3 is concave upward or downward.

A: Given  f(x)=6x2+3 To determine the open intervals on which the graph of f(x) is concave upward or…

Q: Select the statement that explains one differences between the graphs of f (x) = 5x? and 9 (x) =…

A: Graph

Q: 16. Graph the function f(x)=- (2)*– 3

A: The given function is , fx=142x-3

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.