1. Graph the following functions and write the domain and range set builder notation — х, х > 1 f(x) ={ x²,x < 1 а. х, х > 2 f(x) = {1,–2 < x< 2 (x — 1,х < -2 b.

Q: (c) Identify the critical numbers of f and the possible points of inflection of the graph of f.

A: To find the critical number and point of inflection of the graph of f.

Q: 3. Identify all of the discontinuities that exist for each of the following functions: a)…

A: A function is said to be dis continuous if there is a gap in the graph of the function. Some…

Q: Explain why each of the following statements is false. Make sure you justify clearly, using words,…

A: Since there are multiple questions the first question is answered as per our guidelines. kindly…

Q: 10. Which of the following numbers gives the maximum value of the function f(x) = -x² + 2x + 1? 1 А.…

A:

Q: What is the type of the following function: f(x) = r' +5 where the domain is Z and the codomain is Z

A: Let f(x) = f(y) for two integers x and y.     =&gt; x3 + 5 = y3 + 5    =&gt; x3 = y3     =&gt; (x -…

Q: do you agree with the contention that the functions f(x) = x+2 and g(x)=x2-4 /x-2 are the same in…

A: It is given that, f(x) = (x+2)     and     g(x) = ( x2-4)/(x-2) Then we will prove that f(x) and…

Q: Use the given graph of f(x) = x² to find a number 6 such that if Ix - 1| < 8 then |x2 – 1| <. (Round…

A: Given: fx=x2 and graph of function as To find: The number δ such that if x-1&lt;δ then x2-1&lt;12.

Q: 1. Let X be the graph of f(x) = x²/3 given below that is, X is the subset of R x R satisfying the…

A: Sol

Q: 5. Suppose f(x) is an odd function. Prove that g(x)=f(x)| is an even function.

A:

Q: Suppose f(x) and f'(x) have the following values. -7 -6 -5 -4 -3 4 -9 1 9 2 6 x f(x) -2 f'(x) 1 -2 3…

A:

Q: What is the graph of a function f that satisfies the following con- ditions: • f'(x) > 0 on (-00,-1)…

A:

Q: On what interval is the following function positive. f (x) = -z² -2x + 8

A: We have to find the interval where the function f(x)=-x2-2x+8 is positive.

Q: 1. 2. Which statement about the function f(x): x-3 is What is the domain of the function x+2 f(x) =…

A:

Q: 7) Construct a table of values for the function f(x) = x 1 in the restricted domain (0, 0.5, 1, 1.5,…

A: Or

Q: What is the range of the function g(t)=t^2 - 5 when the domain is defined as the set of integers, t,…

A: Find the range

Q: Define H(x) as a piecewise defined function and evaluate H(1), H(2), H(3), H(0) and H(-2) given by,…

A: We have to solve the problem by just putting the value in the piecewise function.

Q: Consider the following statements 1- The function f defined by f(x) = x³ is decreasing in R 2- If a…

A:

Q: . Find the absolute the following functions on f(x) = x² - 6x + 5 minimums the and maximums of given…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: Which of the following statements is false for a function f that can be differentiated at least…

A: We have to define which statement is wrong

Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

A: Given f(x)=-x2+2x         if x≤-1-x2+2x+2    if x&gt;-1

Q: I am haiving difficulties finding the global max and min for th function f(x) = (3x^(1/3))−x on…

A:

Q: Suppose, we want to define functions from set Ato set B Given that, B = n = 20 > 15 = m =HAw many…

A:

Q: 1) The function f(x) = x + 4 is odd True O False

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the values of m, & k, for which the following function is continuous everywhere 2x3 + x +7 if x…

A:

Q: . Do you agree with the contention that the function f(x)= x +2 and g(x) = x2 -4/x-2  are the same…

A:

Q: 1. Find the points of discontinuity of the function shown in Figure 14 and state whether it is left-…

A:

Q: I need help trying to find the global max and min for the function  f(x)=(3^(1/3))-x on the…

A:

Q: 4. Eliminate the arbitrary function f from the following and form the PDE: xy, (a) z = x + y +…

A:

Q: Use the mean value theorem to establish the following inequalities: a) e* > 1 + x for x > 0

A:

Q: Determine the global extreme values of the function on the given domain f (xy)= x² +xg>+y²

A:

Q: 1. Consider the function f(x) whose graph is given below. y = f(x) Enumerate all discontinuities of…

A:

Q: 4 Complete the following for f(x) =. if -6sxs - 1 x+5 if -1<xs7 (a) Determine the domain of f. (b)…

A: Graph theory

Q: Based on the graphs of f(x) and g(x), what must the domain of (f. g)(x) be? 10 8 7 6 5 2 g(x) 1…

A:

Q: Determine with justification, the absolute maximum and minimum of the function below in the…

A:

Q: 1- x x + 2 (x² – 4 0 < x< 1 1 < x < 3 x 2 3 Find all the points of discontinuity of the function…

A: Here we have to find all the point of discontinuity of the function S(x).

Q: Find the absolute minimums and maximums of the following function on the given intervals

A:

Q: 1. Let X be the graph of f(x) that is, X is the subset of R x R satisfying the given equation.

A: Sol

Q: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x2 − 4/x − 2 are the…

A: I am not agreed with this fact that f(x) and  g(x) are the same in every respect. The reason behind…

Q: Consider the following. (N) - x - 6x2 +7 (a) Find f'(x) and f"(x). '(x) - (b) Graph f(x), f'(x), and…

A: Authoring guidelines***…

Q: k. f(x) = /In(2x)

A: The solution for the answer is shown below.

Q: 5. Suppose that function f(x) satisfies f'(x) 0 at interval [a, b], then the graph of y = f(x) ( )…

A:

Q: 5- Verify the domains and associated ranges of the following functions: a) f(x) = Vx – 3 b) f(x) =…

A:

Q: Find the rule of the function associated with the following table. 1 3 y 1 4 9 Oy = x² y=x 1 | Oy…

A: As observed feom the graph, we have squared each of the quantity.

Q: Find the discontinuities of the function 2х — 1 - if 2 < x x +1 1 Let G be the function defined by…

A: Given,

Q: 1. Consider the function f(x) whose graph is given below. y = f(x) 6. Enumerate all discontinuities…

A: given the graph:

Q: If the function defined by 6x + 144 x # -24 g(x) = x + 24 k is continuous at x = -24 x = -24, then…

A:

Q: Draw the graph of the function y = f(x) = 5/x between x = 1/2 and x = 4. f(x) f(x) 10 10 8 8 6 4 2…

A: Given:- f(x) = 5/x To find Graph from x=1/2 to x=4 Slope of line between points x=3 to x=3.1 x =3…

Q: Suppose that f(x) is a differentiable function such that f'(4)=6 and f(4)=4. If g(x)=xf(x), then…

A:

Q: 5. Use the graph of the function f(x) below to estimate the open interval(s) on which f(x) is…

A: As per our guidelines, we are allowed to answer only one question. Since, u have posted multiple…

Q: Suppose that the functions u and w are defined as follows. u (x) =x²+4 w (6) - /x+5 Find the…

A: givenu(x)=x2+4w(x)=x+5therefore(u+w)(x)=x2+4+x+5(u-w)(x)=x2+4-x+5