19/2021 Section 3.2 Homework-Jessica Clements Student: Jessica Clements Date: 02/19/21 Instructor: Lori Green Course: MTH-140 - S21 Assignment: Section 3.2 Homework Draw the graph of f'(x) = 6. Then draw three possible graphs of (x) =6 is a constant function and will be a horizontal line. The graph of f'(x)= 6 is shown to the right. 4- 2- Notice that f' is a constant function and that f'(x) = 6. This indicates that the slope of the tangent line at each point of f will be 6. Thus, f is any line with a slope of 6. 9. 8 10 9- 8-- Three possible graphs of f are shown below. -10- DI- 10 01-

Q: Sketch the graph of f.

A: Definition used-                 Graph of a piecewise function -                  We have to…

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: Which graph has the following characteristics? three real zeros • as x -o, f(x)→-0 • as x o, f(x)→∞

A:

Q: Sketch the graph of f.

A: fx=-3x2-3x+6x2-9⇒fx=-3x2+x-2x2-32⇒fx=-3x+2x-1x-3x+3 Since the denominator is zero at x=-3  &…

Q: Ketch a graph of f(x) = 3 2 x + 2

A:

Q: b) Use the mapping notation to graph g(x) = -2/(x – 1) +2. %3D

A: To graph the below function using mapping notation. gx=−2x−1+2

Q: Given a function and g(x) - 3(x- 1). how would the graph of. y-Ax) compare to the graph of y-Ag(x))?…

A: y=f(x)= 3x-3 is a straight line and graph is

Q: Sketch a graph of ƒ(z) = |ª +1| − 3 -5 -4 -3 -2 -1 4 3 2- 1 -1 -2- -3 1 23

A: f(x)=|x+1|/2-3

Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: (a) |V(G)| > a(G) · w(G) (b) |V(G)| = a(G) · w(G) (c) |V(G)| < a(G) - w(G)

A: This is a problem of Graph Theory.

Q: Suppose the graph of f is given. Write equations for thegraphs that are obtained from the graph of…

A: Let  g(x) is obtained after doing the transformation.  g(x)= f(x) + 3

Q: graph the folloring f un Ction %3D

A:

Q: 10. Determine whether the graphs G₁ and G₂ are isomorphic. (a) (b) d C G₁₂ d G₁₁ b b C 6€ 5 G₂ 2 4 2…

A: Answer :- A)Answer : Two graph are said to be isomorphic to each other  1. If they have the same no…

Q: 4) Complete the following: a) Explain how the graph of y = 2 – G(x – 4) can be obtained from the…

A: a) y=2-G(x-4) can be obtained from the graph Gb) H is an odd function and H(-2)=5c) Z is one-to-one…

Q: Sketch a graph of: f(x)=2x-1|-2 -5 -4 -3 -2 -1 Clear All Draw: 51 4 3 2 1 -1 -2 -3 -4 -51 1 2 3 4 5

A: ; Which shift the graph in the right if  ; Stretch the graph along y-axis with a factor of when ;…

Q: Sketch a graph of f(x) = = 5 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: 7 -1 -2 -3 -4 - 1 2x I 2 1 2 3 4…

A: The given function is: f(x)= (-1/2)x -2

Q: Suppose a, b, c, and d are integers, and that a is negative and odd, b is positive and even., c is…

A: Ans:Suppose a,b,c and d are integers a is negative and odd, b is positive aand even, c is positive…

Q: The function f(1) =I was transformed to create a graph g(x) = f(x +1) +2. Which statement describes…

A: f(x)=x g(x)=f(x+1)+2       =x+1+2       =x+3

Q: Let ƒ(x) = x - 7 and g(x) = x2. Graph ƒ and g together with ƒ . g and g. f.

A: Given: fx=x-7, gx=x2 we know that f.gx=g.fx so, graph of fx, gx and f.gx can be drawn as below

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.