In each part below, give an example of a function which satisfies the given criteria. Justify that your example is correct. You should give the simplest example of which you can think. (i) A function f whose domain is (-1,1) such that lim x→0+ f(a) = 3 and lim x→0- f(x) = -2 (i) A function f whose domain is (-1,1) such that f(x) > 0 for all 2 ∈ (-1,1), and lim x→0 f(a) = 0 (in) A function f whose domain is R (real), such that f is not continuous at 0, but f∘f is continuous at 0

Q: For the function as defined that is one to one, graph f and f-1 on the same axis please: f(x) = x^3…

A: Consider the given 1 to 1 function.

Q: Write the function in its final position. f(x)= x³ first moved 2 units downward, then 3 units to the…

A: The objective is to write the function in its final position.

Q: Which one of these statements in relation to the function f(x)= x+3/x is false?

A: Explanation of the answer is as follows

Q: Refer to the graph of the function f in the following figure. T YA 6543 4+ -2- X = 2 1 (a) Find…

A: A graph of the function is given.We have to find the values of and find the value of for which…

Q: 3. Give the function, f(x)=x²+5x-24 Find f(0) a. ut b. Find f(-1) Find f(-3) C.

A: Since you have asked more than one question. So as per guidelines I have done first one for you. If…

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: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: 1) Let f(x) be a function with Domain [-6,-2] and  Range [-10,-4]. Find the domain and range of the…

A: Given that for f(x) Domain [-6,-2] and  Range [-10,-4]

Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

Q: The function f is defined by f:x --> 10-(x-3)² for 2

A: To find: The value of function at . Calculation: Substitute in function.

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: One elevator of a tall building started from a certain floor, went up 7 floors, and stopped. Then it…

A: Formulate an algebraic equation representing this scenario. Solve the equation for the unknown to…

Q: function f(x)=(1)/(3)x-5. Identify if on. Give the domain and range.

A: Solution Here f(x)=1/(3)x-5

Q: Q1) write a user_define mat lab function for the following Y(x)=-0.2x+e0.5xx³+7x² a)use the function…

A: The MATLAB code for the user-defined function to perform the given operations is: MATLAB CODE…

Q: Define f (x) = 3. x+3 Identify which of the following are points on the graph of this function…

A:

Q: Graph the piecewise function below and identify its domain and range x+1 if x<- 2 f (x) ={ 3 if -…

A:

Q: Give an algebraic example of a function whose domain is (-0, 5) U (5, ∞).

A: Given- Domain -∞,5∪5,∞. To give- An algebraic expression whose domain is -∞,5∪5,∞.