1; when x when x > 1. 2x + 1 1. Consider the function f: R → R defined by f(x) 5 - 3x A. Consider function f at the point x = 1. Is function f continuous at this point? Why or why not? B. Consider function f at a point x = a where a is less than 1. Is function f continuous at this point? Why or why not? C. Consider function f at a point x = a where a is greater than 1. Is function f continuous at this point? Why or why not?

Q: В. B. Show that the function f (z) = -i z2 is analytic.

A: The solution is given as

Q: Consider the function f(x) = xn , where n is odd. Does f −1 exist? Explain.

A:

Q: 3. Assume that f is one – to – one function. - a. if f(4) = 18, find f'(18). Explain. b. if f(88) =…

A:

Q: 3. Determine the domain of the following function, then sketch it: 1 f(x, y) = V² + y? – 9

A:

Q: Explain which the function are analytic or not: F(z) =2xy – i(x² –- y²) |

A: A function fz=fx,y=u+iv , where u and v are functions of x and y, is said to be analytic if it…

Q: x² -x-2 Is the function f(x) : Fcontinuous at x = 2? Why or why not? x-2

A:

Q: sketch to graph the function f(x) = In(x + 2) – 1. %3D

A: f(x)=ln(x+2)-1Now, putting value of x=-1f(-1) =ln(-1+2)-1           [ln1=0]           =0-1…

Q: Ax) Consider the functions = 3* g(x) : %3D and x*. Determine

A: Consider the functions f(x)=13x and g(x)=1x2. We have to determine the value f112-g15.

Q: Determine whether the following function is continuous at the given point x = 3x? + 14x – 5 1 x + 3…

A:

Q: X-2 f(x)3D x2+x-30

A: In the given question a function is given and we have to find point of discontinuity of the…

Q: Describe the interval(s) on which the function is continuous.

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Let f (x) be the function given below. Find all x values where f(x) is discon- tinuous. A. x = 2,3,4…

A: Step 1:Step 2:Step 3: Step 4:

Q: Use the graphs (see attached) of f and g to find (fg)(2).

A: The graphs of f and g is given. Here, fg2=fg2.

Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A.…

A:

Q: Make a table of values for f(x)=x²- 4 showing function values for x = 4, 6, 8,....

A: It is given that the function is fx=x2-4. We have to find the value of this function at different…

Q: Find the values of c and d that make the function 6x if x 2 continuous. с — d =

A:

Q: Consider the function f(x) graphed below for -3 < x < 5. 15 y 10 5. Where does the curve change…

A: Where does the curve change the concavity between the interval -3&lt;=x&lt;=5.