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

A: To plot the given function:

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…

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.