Suppose that the function fis defined as follows. -3 if -3.5

Q: d) A function with no absolute extrema but with a local minimum of -5 at x = 4 and a local maximum…

A: Follow the procedure given below.

Q: Suppose g is a continuous DECREASING function on the interval [-3,1].

A: 2. As y is a continous decreasing function on the interval -3, 1

Q: For which interval is the function f(x)=x√√4-x² continuous O (-∞, -4] and [4, ∞) O (-∞, -2] and [2,…

A:

Q: The owner of a luxury motor yacht that sails among the 4,000 Greek islands charges $470 per person…

A: Let the number of passenger above 20 be xthen the cost per passenger = 470 - 5x

Q: Is there a function that is both even and odd?

A: Yes, f(x)=0 is both even and odd.

Q: 1. How to determine whether the function is continuous or not at a certain point?

A: As per our guideline we are supposed to be answer only one question please repost the other question…

Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

A:

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = (x -…

A: Consider the following equation:

Q: Select the graph of the given function and determine the interval(s) for which f(x) > 0. Ax) = 16 –…

A: For f(x) = 16 - x² * Since coefficient of x² is negative, Therefore the graph of the parabola of…

Q: At what points is the function is continuous y=|2x-1| +4sin(2x)

A:

Q: The owner of a luxury mtor yacht that sails among the 4000 Greek islands charges $400 per person per…

A:

Q: (3) Show that the function is discontinuous on the specified interval. Vx2 - 64 if x < -8 if -8 <x <…

A: Note: According our answering guidelines we have to answer only one question (if there are multiple…

Q: Find the total number of extreme points for the function f defined as, S-(x* +1)if xs1 f(x) = |(x-3)…

A: Given that, f(x)=-x2+1 if x≤1x-32    if  x&gt;1

Q: Here is the graph of the function h(x)on the interval (-5, 5), and part of a line tangent to h(x) at…

A:

Q: If an odd function f(x) has a local maximum value at X=c which of the following must be true?

A:

Q: A friend looks at the graph of y3x and observes that if you start at the origin, the graph increases…

A:

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: It is clear from the graph that  function y=g(x) is continuous in [-1,3) But at x=3, Therefore, g…

Q: find the largest open interval where the function is changing as requested. increasing y=(x^2-9)^2

A:

Q: Use the given graph of f(x) = /x to find a number 8 such that if Ix - 4| < 8 then Vx - 2 < 0.4 yA…

A: use limit definition for evaluating the value  of delta.

Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

A:

Q: determine from its graph if the function is one-to one.

A: fx=1-x2,x≤0xx+2,x&gt;0

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: The graph of a function is said to be continuous if the value of the function exists for all values…

Q: Suppose that f(x) is a continuous function with the following values: 2 3 4 5 f(x) 2 -5| 9 5-9 1 -8…

A: Given that fx is continuous function. We draw the graph from given data

Q: 4. Which of the following functions is a piecewise-defined continuous function? For the…

A: Given, The graphs of  Functions of A , B, C and D  Continuous functions : Continuous functions are…

Q: When is a function periodic?

A: A function is periodic if there exists a positive real number M such that, fx+M=fx The smallest…

Q: -7 if x 2. Sketch the graph of the function and use the limit definition of the derivative to show…

A:

Q: Is the functionf graphed below is continuous at x= -1? Choose the appropriate reason that justifies…

A: Continuous at x=-1, as limit is equal to f(-1).

Q: Find the absolute extreme values of each function on the interval. 1 F(x) = - 0.5 ≤ x ≤2 x2, =…

A: Topic:- application of derivatives

Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: Consider the image attached of the graph of a function y = g(x) on the domain -8 <= x <= 8, which…

A: Label the points on the given graph as shown below.

Q: 4. Which of the following function has an absolute minimum on (-o, +00)? (a) ƒ(x) = 5 – 3x² (b) f(x)…

A: Given: To identify which function has an absolute minimum on (-∞, +∞) a) f(x)=5-3x2 b) f(x)=x5+3x2…

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: Graph h and describe the discontinuity: h(x) = { ex lnx for x &lt; 0 for x &gt; 0 Is h left- or…

A: Given the function h(x)=ex lnx.  We need to sketch the graph for the given function for x&lt;0 and…

Q: The piecwise function g(x) is defined by x + 2 when x 1. What type of discontinuites are present in…

A:

Q: У S 1 X

A: The function is said to be increasing in an interval if its value increases as the value of x…

Q: Example: Sketch a graph of a function that has a removable discontinuity at x = -2, a jump…

A:

Q: Consider the graph of a function. 5- 4- 3- 2 - 1- 1 2 3 4 Find the point c at which the function has…

A: Answer

Q: The secant function is defined as: O hypotenuse adjacent O hypotenuse opposite о adjacent opposite о…

A: Given that secant function defined as

Q: Select the graph which satisfies all of the given conditions. f' (-3) = f' (1) = 0 Increasing on…

A:

Q: The graph of the function f'(x) of a continuous function f is shown. On what intervals is f concave…

A: It is given that,the graph of the function f'(x) of a continuous function f.  We have to find…

Q: Find the numbers at which the function is given   is discontinuous. At which of these points is f…

A:

Q: sketch the graph of a function that is continuous everywhere except at x=3, and is continuous from…

A:

Q: 4. Which of the following function has an absolute minimum on (-0, +0)? (a) f (x) = 5 – 3x² (b) f(x)…

A:

Q: (2) Find all the points of discontinuity of the function S(x) = } x + 2 (x2 – 4 1<x< 3 x2 3

A:

Q: Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on (a, b),…

A: Given, Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on…

Q: The function has a right-hand limit as x approaches 4. Select one: True False p(x) = x² if 0 < x≤ 1…

A:

Q: In calculus was claimed  that increasing (or decreasing ) functions  defined on a single interval is…

A: Consider a one - to - one function in an fixed interval.  For the function f(x), in the interval 0…

Q: 1. Consider the following graph: -10 5. 10 A. Check the line if the function is continuous on the…

A: