at x = 2 and f(2) = 3

Q: Make a cobweb diagram starting at the indicated point to find f(f(x) repeatedly.  What is the point…

A: PROCEDURE : To draw the cobweb first draw the given figure. First draw perpendicular line the given…

Q: (1 – x) 2

A:

Q: (1) Sketch the graph of f(x). Be sure to label the axes and that the graph is consistent with your…

A: We have to graph the given function.

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: -2 2

A: From given graph When  : Undefined Function is discontinuous at

Q: Use a graph to explain why. if f is defined at x = a.

A: The given integral is ∫aafxdx Formula used: it is known that the area bounded by the graph of fx and…

Q: Determine which of the following Differential Equations below would use the following general form…

A:

Q: Draw the graph of any function f (x) that passes through the point (3, 2).

A: Consider the function  f(x)=x-1. Put x=3. f(3)=3-1=2. So the graph of the function passes through…

Q: Show whether the function y=x² is considered as even or odd function

A:

Q: 15. Match the function with its graph (labeled I–VI). Give reasons for your choices. (a) f(x, y) =…

A: All these graphs, I have plotted in MATLAB.  Which explains that the matching is  a-VI b-V c-I d-IV…

Q: Suppose that the graph of a function f is known.  Explain how the graph of of y = f(x) – 2 differs…

A: Let us consider graph of a function y=f(x). Now if we move the graph y=f(x) by c units in downward…

Q: The graph of which function starts at (0,0)?

A: The graph of the function, y = √x starts at (0,0)

Q: Use the vertical line test to identify graphs in which y is a function of x ?

A: a). Now let us draw a vertical line on the given curve, we get Clearly the vertical line passes…

Q: 4 M t 1 C- ts- 2- 1- o 14 T . E- T о O f(x)=-=(x-2)²-2

A: Given query is to find the graph of the function.

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.