a. Sketch a graph of f on the interval [-2, 2]. b. Does lim f(x) exist? Explain your reasoning after first examining lim f(x) and lim f(x).

Q: Find the domain of the function F(x)= 11/x-15

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

Q: Find the points of inflection of the function f(x)=esinx.

A: Inflection point is the point where concavity of graph of function changes. At this point double…

Q: Find f(x).

A: Given,

Q: Let f(x) = x and I = [0, 1]. If P is the partition given by P = {0, 1/8.1/4, 1/3, 2/3, 3/4, 1} and…

A:

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: What type of discontinuity does the function f(x)=xsecx have?

A:

Q: sinh x d Find dx 1 dt t2 + 1

A: We will apply Leibnitz theorem to solve it

Q: Find f(x)

A:

Q: f'(x) = 6Vx ; f(1) = 7,

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: Evaluate f(x) = 8-X at x = 2. f(2) =

A:

Q: X- e.

A:

Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

A:

Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

Q: The following limit represents the derivative of a functionf at a point a. 5 tan 6. V3 f '(a) = =…

A:

Q: Differentiate the function.   f(x)  = x In x -x

A: Given, fx=x ln x-x

Q: Plot the functions x, x2, exp(-x), exp(-x2) on a single graph for x between 0 and 5. Repeat the…

A:

Q: Is the function f(x) = x3 one-to-one?

A: Given: fx=x3 Horizontal line test: If no horizontal line intersects the graph of the function more…

Q: Determine the intervals of concavity for the function f(x) = xex .

A:

Q: 27. g(x) = 2x² - x - 15 x - 3 1 kx - if x # 3 if x = 3

A: Explanation of the answer is as follows

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.