75. Graphical Reasoning Use a graphing utility to graph y, - [1 + (1/x)] and y; - e in the same viewing window. Using the trace feature, explain what happens to the graph of y, as x increases.

Q: -4 -3 -2 -1 2.

A: Given query is to find the equation of the line in the form of slope and intercept.

Q: Use the graph to write an equation for the function. y = 4 (0, 1) -6 -4 -2 2 4 4 6" 2. 2.

A: In the above graph at x=0 the function gives the value F=1,  similarly at x=3, F=0 and at x=-4, F=0…

Q: The graph below shows a transformation of y = 2* in the form of y = a(b)² + 4 3 1 -5 -4 -3 -2 -1 -1…

A: The solution is shown in step-2

Q: sketch a graph of each relation. Label the x-intercepts and vertex a) y=(x-6)(x+2) b)…

A: a.  y=(x-6)(x+2) for x intercept y coordinate is zero  y=(x-6)(x+2)=0x-6=0    or   x+2=0x=6,-2  x…

Q: What difference between nomial graphing and ordinal graphing?

A: Nominal level scale:It consists of only categories in which the data cannot be arranged in specific…

Q: Name and sketch the graph of y² = z in R³.

A: To Sketch: y2=z  in ℝ3.

Q: The graph below shows a transformation of y = 2" -5 -4 -3 -2 1 2 3 4 5 -2 -4 -5 Write an equation…

A: The general transformation of function of any exponential function  y=px be y=A+Bpx where A,B∈ℝ .

Q: x+4<3x-5  graph both straight lines (left-hand side being Y1and right-hand side being Y2)on the…

A:

Q: Graph f and g in the same rectangular coordinate system. Then find the point of intersection of the…

A:

Q: Which graph is parallel to the x-axis and 3.2 units below the axis?

A:

Q: Sketch-the-graphs.y = x² + 1, y = -x² + 2x + 51

A: we need to sketch the graphs of the function.

Q: The graph below shows a transformation of y = 2" 5- -5 4 3 -2 -1 A 2 3 4 5 -2 -3 -4 -5+ Write an…

A: We have to find the equation of the given graph using the transformation on the curve y = 2x .

Q: Write the equation for the graph shown. *if typing |æ|, you would just type abs(x) 6 -3A -3 - -1…

A: First, we take a rough idea that this graph looks like y=-abs(x)

Q: Sketch the graph of x? – 4x + 3

A: We have to sketch the graph of the given function. We will find its x- intercept, y- intercept and…

Q: Stopping Distance: The graph shows the stopping distance (y axis)in metres, and the speed of a car…

A: It is an important part of statistics. It is widely used.

Q: Describe how the graph of the equation relates to the graph of y = x2. 3) f(x) = (x - 3)2 + 4

A: Given:  y=x2fx=x-32+4 To determine: The relation between the graph of fx and y=x2.

Q: Critical Thinking Graph y = 1000x + 1000 in the standard window. (a) Is the graph a vertical line?…

A: Given equation is: y = 1000x + 1000 Rearranging the terms we get,…

Q: ear relations

A: A linear relationship is a statistical term that is used to illustrate a straight-line relation…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.