3. The peicewise function, f(x), pictured to the right consists of segements of linear functions. /hich of the following statements is/are true?

Q: 6.) Use the limit definition of the derivative to find f' (x), given f(x)=x-3 x+5

A: Consider the function

Q: f(x) = at x = 1 X-2

A: A polynomial function is always Continous in its domain

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: 2. Given the function f(x) = ., determine if the function is continuOus or not. Identify the point/s…

A: Given function f(x)= (x2-1)/(x-1) is continuous or not , determine type of discontinue.

Q: 3) Verify Rolle's Theorem for the function f(x) = [-4, 4]. Justify your answer. 5x + 6 defined over…

A:

Q: For what value of k will the function f be continuous on (-∞, 0)? { x2 – 16 if x + -4 f(x) = x + 4 k…

A: We have to find

Q: Let f be defined as follows: x2 +5 for x > 5, Зах f(x)3D for xs5 For what value of a is the function…

A:

Q: Suppose that y is a function of x. Find if 2x°y 3 2y + 5. - -

A: We will find out the required value.

Q: Suppose that f(x) is a linear function. So, the algebraic representation of f(x) is of the form:…

A: The algebraic representation of the linear function is fx=mx+b

Q: Is there an unbounded function f:[0,1] →R where it is discontinuous only at a single point in [0,1…

A: f: [0, 1] →R Domain: [0, 1] The function is discontinuous at a single point of the domain.   Let's…

Q: 2. What is the lilm f(x)?

A: From the given graph in extreme left side we can clearly see that. If x tends to minus infinity then…

Q: On what domain is the function f(x)=1+√−6−3x continuous?

A:

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Finding the g'(4) from the given conditions.

Q: Q3/ A) Decide if the following function is continuous using limits. 2х x1.

A:

Q: True or FalseA 1. A Step-function is continuous at every point in its domain

A: Given: A step - function is continuous at every point in its domain. To write: The given statement…

Q: f(x) at x = - 3 X-3

A:

Q: Q4: Use the limit definition to compute the derivative, f(x), for 2 1.F(x) = xi

A:

Q: ,for x 1 Discuss the contuniuty of f andf'.

A:

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: 3. Given the Function, %3D is Foo increasing decreasing or both increasing and decreasing on the…

A: A function is decreasing in a given interval if the first derivative of the function is negative in…

Q: Is the function f(x) : 1 continuous or discontinuous on [2,+∞)? Vx - 2 Is the function f(x) : 1…

A:

Q: Use the definitions of increasing and decreasing functions to prove that       f(x) = x3 is…

A:

Q: +1 Differentiate the function f (x) = In +1

A:

Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or…

A: for all x1 , x2 in a,b when x1&lt;x2 then fx1&gt;fx2 claim- is it decreasing or increasing

Q: Which of the following functions are continuous? Why do you think they are continuous?

A:

Q: Suppose g is the function defined by picture where k and m are constants. If g is differentiable at…

A: Solution

Q: /hich of the following best describes the end behavior of a function with an odd degree and negative…

A: We have, Odd degree with negative leading coefficient.

Q: B)Is w = Zez analytical function or not?

A:

Q: 2, if x 1

A: The given function,  f(x)=1x,if x≤1x2-1,if x&gt;1

Q: Let f(x)=x²+2x if x<5 - Cx if x 25. For what value of the constant c is the function f continuous on…

A: We have to calculate the value of c

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

A:

Q: 3) If a function is continuaus at x=a, then it is differentiaoe at x-a, yes? or NO? why ?

A:

Q: 56. Is the function given by Sx + 1, for x 4, G(x) = continuous at x = 4? Why or why not?

A: As we know that  Function will be continuous at x=a if limx→a-fx=limx→a+fx=fa

Q: 6. Find the length of the curve given by the graph of the function f(x) = x/x, for x in [1,4].…

A:

Q: are correct? The function is decreasing on the interval x > 4.

A: According to graph for x&gt;2 slope = dydx increasesSo the function is increasing on the interval…

Q: 7. Give two reasons why a function might not be differentiable at a particular value of x.

A: topic -derivative

Q: 3-The function f defined by 2. Is f is Continuous at x=| ?

A:

Q: 4. Show the function f(2)=21m(z) is differentiable or not differentiable at any points.

A:

Q: Make a graph of the functionƒ(x) , for x ≥ 1. Be sure to include all of the evidenceyou used to…

A: Given:  The function fx=∫1xdtt for x≥1, To sketch: The graph of fx for x≥1,

Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

A:

Q: Suppose that the function f(x) is concave down on the interval (2,5). Can conclude that the function…

A:

Q: Which of the following does not represent a function that is continuous everywhere?

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: Suppose that ƒ is a continuous and differentiable function s 2000 and that f'(x) > 7 for all x. What…

A: Lagrange's means value theorem: -Let f: [a, b] R be a continuous function on [a, b] and…

Q: Find the intervals on which the function is continuous. y = 서+2 7 |

A: Please rate and feel free to ask any query about any part of the question.

Q: Q4: Use the limit definition to compute the derivative, f'(x), for 2 1.F(x) = x3 2.F(x) = Vx³ – x

A:

Q: What value should be assigned to f(2) so that the extended function is continuous at x=2

A: Given graph of f(x)

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.