4. Graph the following set of functions on the set of same coordinate axis and explain how the sketches are related to each other using your knowledge of transformation of graph (chapter 1.5). Find the domain, range, x and y intercepts. a) y=3* y = -3* y = 3-* y = -3-* b) y-() x- x- y=- y = y = - How does the base play a role on an exponential graph?

Q: Give an algebraic representation of a linear function for each of the following features.…

A:

Q: If f(x)f(x) is a function, how is the graph of g(x)=2f(x-5)g(x)=2f(x−5) is different from the graph…

A: we use function transformation

Q: The graph of the function fx) =/x is stretched vertically by a factor the transformed function…

A: Given- The graph of the function fx = x is stretched vertically by a factor of a and is translated 3…

Q: Use a graphing utility to verify your results. y 2) 1. Subrt Amsant

A:

Q: Write the equation for this graph: 5 |(4, 3) |(3, 1) -5 0(2, 0.333) 5 10 -5- -10 f (x) = (x+

A: Consider the graph

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given the vertex (h, k) = (2,-1) The parabola

Q: The graph of a function contains the points (2,11),(-1,5),(-3,21) and (x,y).  What could (x,y) be?

A: The given points are 2,11, -1,5, -3,21. The graph of the function is as follows:

Q: Graph f(x) = 1/2|x + 4 | – 5 and create a table of values f(x) = 1/2|x+4|-5 f(x) 3 2- -6 -5 -4 -3 -2…

A: Given that,f(x)=12x+4-5 x f(x) Points=(x,f(x)) -4 -0.2 A=(-4,-0.2) -1 1 B=(-1,1) 0 0.3333…

Q: 5. When sign analysis is very effective for determining whether a function is increasing, decreasing…

A:

Q: 4. Graph the functionx +y =-4. 10 8 -6 -8 -10 -10 -8 4. -2 0 2 4 6 8 10 X+y =-4

A: We will solve the following

Q: What information do you need in order to write the equation of a function that could model the…

A: 1. Gymnast's distance from the trampoline as they jump can be modelled by a Polynomial of order 4.…

Q: 2. Use the graph below of y = f(x) to answer the following question. point 8 4. point 1 point 2 3 2.…

A: To answer the given function using the given graph.

Q: For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if…

A: Consider a curve symmetric about the x axis.Then the point (x,y) lie on the curve if and only if the…

Q: tion: -15 +10 1-51 10 15 15 10 15 10 15 X

A:

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: The following is an excerpt from a May 12, 2006, press release issued by the National Agricultural…

A: Given- The following is an excerpt from a May 12, 2006, press release issued by the National…

Q: Find an equation for the graph sketched below 7- -5 -4 -3 -2 -2 -3 -4 -5 -- -7 -8- f(x) = Preview 3.

A: Consider the equation below with the unknown a and two known points from where the graph passes.

Q: Suppose (−4,1) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A:

Q: If for a set of points (x, y) generated for this function, y (y-axis) was plotted versus a (x-axis),…

A: The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the…

Q: Let c be a fixed constant. Explain the relationship betweenthe graphs of: y = f (x + c) and y = f…

A: To explain: The relation between the graphs of y=fx+c and y=fx in rectangular coordinates. Concept…

Q: 16. The point (6, -5) is on the graph of y = f (x), what point must be on ay 2f(-x) +1?

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

Q: 6) If the graph of y = /x is translate equation for this function. 7) If the graph of y =x' is…

A: (6) Translating up by 4 units results y=x+4 Translating new function to 5 units left results y=x+5+4…

Q: 1,0

A: For the domain and range we see that it is a straight line, so the domain will be the set of…

Q: is transformed into the graph of 2y 6 y = f(x) becomes point ( 57, If the graph of y = E(x) -4 f( x-…

A:

Q: I wanted you to answer this question: In Example 3.6.2, why is it that x = 3 is not an inflection…

A:

Q: what is the slope at x=20 from this graph

A: Given,           The graph is shown below :

Q: Draw the graph of f(x) = 2+4 101 6- 4- 2- 10-9-8-7-6 -54 -3 -2 -1, 1 2 3 4 5 6 7 89 1C -2 -3 -4- -5…

A:

Q: | 2||| – 1 |æ| – 1 Draw the graph of the function y = by shifting method. %3| -

A: we can draw the given curve by shift method is

Q: Sketch a graph of f(x) = – 2|x| %3D 5+ 4 2- -5 -4 -3 -2 -1 1 2 3 4 -2- -4- -5+ Clear All Draw: 3.

A:

Q: Find an equation for the graph sketched below 7- 5- 4- 2 -5 -4 -3 -2 -4 2 3 4 5 -2 -3 -4 -- -7 -8-…

A: From observing the graph, it can be seen that the given graph is of exponential form, i.e. y=ax+b.…

Q: The cumulative number of cases of AIDS(acquired immunodeficiency syndrome) in the United States…

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

Q: Sketch the graph of FCx) *Be VERY CAFEFUL WHEN LINING UP X-VAUES*

A: The slope of a function at a point is the value of the derivative of the function at that point. For…

Q: 7. Draw graph: When 2x+6 -3<=x<=0 f(x) = 6 O<x<2 2x-6 2<=x<=5

A: Consider the function:

Q: of its graph. Be sure to label the x-values of five key points: x, = +1() = %3D x3=D +2(종) = %3D x,…

A: Angle

Q: Find an equation for the graph sketched below 8+ 6- 4 3- -5 -4 -3 -2 -1 1 1 2 3 4 $ -2- -3 -4 -5 -6…

A:

Q: c. Sketch a graph that has first and second derivatives as indicated. -5- 4 -3- -2- -6 -5 -4 -3 -2…

A:

Q: Find an equation for the graph sketched below 4- -5 -4 -3 -2-1 2 3 4 5 -2 -3 -4 -5- -6 -7+ -8+ f(z)…

A: Given: To Find: Equation of fx.

Q: Identify the function shown in this graph. y 4 3 2 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -5 О А. у- Зх- 2 O B.…

A: We have to find the equation of line

Q: graph

A:

Q: In Exercises 19–24, use the graph off to find each indicated function value. y y = flx) 19. f(-2)…

A: Consider the given figure

Q: Find an equation for the graph sketched below 8+ 7- 6- 2- -5 4 -3 -21 1 2 3 4 5 -2 -3 -4 -5- -6 -7…

A:

Q: Identify the horizontal and vertical asymptotes from the graph. y 10 6. 8. 7. 6. 3. -10 -9 -8 -7 -6…

A:

Q: Suppose that the graph of f(x)=x 2+x 4  is compressed horizontally by a factor of 2 and is then…

A:

Q: Which statement is true about the relation shown on the graph below?

A: To be a function , there shouldn't be multiple y values for a given x. Here the given graph doesn't…

Q: 6. Select the correct graph below of the function: (x) = x*(x + 2)(x – 2). List the x-intercepts.…

A:

Q: Find an equation for the graph sketched below: 8- -5 -4 -3 -2 -2 -5 f(x) =

A: our objective is to find a f.

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

A:

Q: 1. Sketch the graph of y=2-x. 2. If fx) =x(*+2)(z-3), use interval notation to give all values of x…

A: