2. Given the graphs of the functions f and g, find each function value by inspecting the graphs. f(x) g(x) a) f(-2) b) f(0) c) g(-2) d) g(0) e) Find all x -values such that f (x) = 0. f) Find all x –values such that g(x) = 0. %3D g) Find the domain of the function f. h) Find the domain of the function g. i) Find the range of the function f. j) Find the range of the function g.

Q: Given the graph of f" (x) at what values is there a possible inflection point? y 2 4 8 O 1, 4, and 7…

A: We have to check

Q: 18) Given the function: f(x) 2x-1 if 1<x<3 a) What is the domain of f(x)? b Evaluate f(0) and fl) c)…

A: The function is given by,

Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: /(x) = x -…

A: Given function is : fx=x4-x3 To find point of inflection f''x is zero Differentiating the above…

Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? 1000 800 600 40 20 10 -4…

A: We observe the values of y when the value of x is tending to infinity and -infinity

Q: Two functions, f(x) and g(x), are graphed on the coordinate plane. y 4. (3 -6 -5 4 -3 2 -1, A -1 1 2…

A: For the given graph

Q: 1. Find all values of x where a) f(x) = 0, b) f(x) > 0, and c) f(x) 0 when c)f (x) <0 when

A:

Q: 2. The graphs of the functions f and g are shown below on the same axes. If h(x) (8(x))4 wh f(x³) 12

A:

Q: 7. Use the graph of y = f(x) below to determine which of the following is true when x = 2? -2 3 2…

A: As per bertleby guideline I have to solve only the first question. So for answer to other question…

Q: The accompanying figure shows the graph of a function ƒ(x) with domain [0,2] and range [0.1]. Find…

A: Since you have asked multiple parts in a single request, we will be answering only the first four…

Q: 4. The graph of a function f(x) is given below. 4. In the interval (-00, -3) a) f'(x)>0 and f"(x)>0…

A:

Q: 2. Given the graph of f'(x), sketch a possible graph of y = f(x). Make your thinking clear using…

A: We have to draw the graph of f(x).

Q: 12. Which of the following is true about the graph of the function, y= (x-2)³(x-1)*(x+4)? A. The…

A: Given function is  y=x−23x−14x+4

Q: Find the value of k that makes the following function continuous. Graph the function. x2- k, if x…

A:

Q: to C. 7 H. F P. 7. 5. 4. & 3. 2$ %23 F8 F7 44 F5 F4 F3 0吕 F2 MacBook Air 21 8- 8. 10 37 1. 2. 37 1.…

A:

Q: 7. Sketch the graph of each of the following. (a) f(x, y) = 6 – x – 2y (b) f(x,y) = 6 – x²

A:

Q: 5 4 g(x) 3 f(x) 1- -2 -1 1 3 4 5 6. -1- 2.

A:

Q: 13. Given the function f (x) = 2xv1 – x2. Determine the following: i. Graph

A:

Q: 8. Use the given graphs of f and g to estimate the value of f(g(x)) for x = -5, -4, -3, ..., 5. Use…

A:

Q: 2. Use the graphs of y=f(x) and y=g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: The given graph shows that the function y=fx is a cubic function while y=gx is a quadratic function.…

Q: The graph of the function f(x) = ax + bx +c has its vertex at (0, 4) and passes through the point…

A:

Q: 1 Use the given graphs of f and g to estimate the value of f(g(x)) for x = -5, -4, -3, ..., 5. Use…

A: See the attachment

Q: %24 Given the graph of y = f(x) on the left, graph the f Y. y=f(x).

A:

Q: 3. Label the graphs as f(z) or g(z). f(z) = 0.4" and g(x) = 0.2 %3D y A. B. $ -4 -3 -2 -2 4 5- a.…

A:

Q: Given the graph of y=f(x) below, at which of the marked xx-values can the following statements be…

A: topic- graphs and functions

Q: The graph of the function f(x) = ax2 + bx + c has vertex at (0, 2) and passes through the point (1,…

A: The graph of the function f(x) = ax2 + bx + c has vertex at (0, 2) and passes through the point (1,…

Q: 11. Choose the correct graph of the piecewise function and also find f(-1). (-) { x + 3, x -1 O…

A:

Q: 2. Below is the graph of f'(x). For what value(s) of x does x) have a point of inflection? TO A -3…

A:

Q: Apply the tranformations indicated for the graph of the general functions given | g(x) (-1,-4) х /2…

A: Note: Points are not labelled correctly in the given graph, I have corrected them. Solution: All the…

Q: 12. Sketch a picture of a graph y = f(x) that satisfies f'(-1) > 0, f'(0) = 0 and f'(1) < 0.

A: Follow the procedure given below

Q: The following figure shows the graph of a function y = f(x) with domain [0, 2] and range [0, 1]. y -…

A: Consider the function y=fx with domain 0,2 and range 0,1. Find the domain and range of function…

Q: 1 6. Find the range of the function y =x +3 when the domain is {-2, 0, 2, 4}? 2

A:

Q: a. Find the domain and the range then draw the function y =x+3-1. b. Prove that coth x-1=csch²x

A: Part a,Given,         The function is y=x+3-1 .

Q: 1) Draw the graph for the function Y = x³ and then find (Df) & (Rf). %3D

A: We are given the function:  Y=x3 i.e.  f(x)=Y=x3 The graph of this function is :

Q: The graph of y = f(x) is graphed below. What is the end behavior of f(r)? %3D 200 150 100 50 -10 -8…

A: We are given the graph of y = f(x) in the figure attached and we have to find the end behaviour of…

Q: The graph of f(x) x° + 5x – 2 is shown below. 10 -4 -3 -2 -1 3 4 -2 -4 -5 =7 =8 =10- -H+ Estimate…

A:

Q: Find the function of the form f (x) = C a whose graph is given below where A is the point (-2, 25/3)…

A: The given curve is  f(x) =y= C ax Given point A( - 2, 25/3) and (0, 1/3) through which curve passes

Q: 4. Given the graph of y f(x) at right, draw a graph of each of these related functions. ソ=k) a. y=…

A: Transformation of graph: Let us suppose y=f(x) be the graph then  1) the graph of y=f(-x) means…

Q: Use the graphs of f and g to graph h(x) (f + g)(x). (Graph segments with closed endpoints.) y 3 2 1…

A: Finding the graph of (f+g)(x) from the conditions given

Q: 1. Find the domain and the range of each of the following functions. (a) Vr - y2, (b) e2+y + 1.

A:

Q: 1. The graph of y= f(x) is given below. Graph different colored pens/pencils for each transf 2. (a)…

A: topic - transformation  note : as per bartleby guidelines, we are supposed to answer only first…

Q: 5. Without using a calculator, make a rough sketch of the graph. (a) y x' (d) y 4 x (b) y (x+ 1) (e)…

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

Q: 9 Draw a graph of y = f(x) such that f(-2) = 5, f(1) = 0, and f(4) = 3. %3|

A: Given:

Q: The graph of y= f(x) is transformed into the graph of g(x)+ 4 2 f(x-3). The domain and range of cach…

A: Here, the function, f(x) has the domain =-1, 3 and the range =2, 6. This means any x∈-1, 3, or,…

Q: 10. Label the graphs as f(z) or g(z). f(x) = 4" and g(x) 2" %3D -5- A. 3- 2- B. -5 -4 -3-2 2 4 5 2-…

A: Question-  10. Label the graph as f(x) or g(x)   f(x) = 4x and g(x) = 2x

Q: 8. (a) Sketch the graph of f'(x) by using the given graph of y = = f(x). I ¦ f(xX ¦ 11 r-x--r 14

A:

Q: Select all values of x where the graphed function is NOT differentiable. y 4 4- 3. 2. -6 2 3 4 56 -3…

A: To find the correct option

Q: 1. Describe how the graph of the function can be obtained from one of the basic graphs: 1 y = x y =…

A:

Q: 1. Consider the function f(x) whose graph is given below. -1 0 1 -5 -4 -3 -2 2 3 6.

A: Answers are given below

Q: Based on the graph, find the range of y = f(x). 4. if-6 sx<-2 f(x) = Ixl if -2 sx<8 %3D if 8 sxs 13…

A: Range is those values of y, which has preimage x under given function f(x) that satisfies y=f(x).…

Q: 1) y = x3 - 1  2) y = 2x-1 3) y = 2-x 4) y = ln(x + 3)

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.