a. Graph the piecewise function: Sx² + 5 if x << 2 | 3x + 1 if x > 2. f(x) b. Use your graph from part (a) to find each of the following limits, or indicate that the limit does not exist: lim f(x); lim f(x); lim f(x).

Q: Evaluate the limit of the function: lim f(x) =- /7 +x -V7

A: topic - limits

Q: Q3: Find the limit for the following functions: - 4 1- lim(- x→2 x-2 - x2 -4 2- lim(x – Vx2 + x) x-1

A:

Q: lim_f(x) x→-8

A: Limit

Q: Find the value of the following limits: Vx +1 - lim x -1 /2x x2 – x lim v9 n2 – n – 3 n

A: To find  limx→1x+1-2xx2-x limn→∞9n2-n-3n

Q: Use the graph of the greatest integer function, y = [x], to find the limits given below. Ay 4- [0]…

A: [.] the greatest integer function returns the closest integer less than or equal to the given…

Q: find the limit of g(x) as x approaches the indicated value. 3x2 + 1 lim = X g(x)

A:

Q: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

Q: Find the following limits (a) by investigating values of the function near the x-value where the…

A: Given: limx→1x4+4x3-9x2+7x-3x-1 Part a: Now we find the function near the limit Now take the values,…

Q: Evaluate the limit for the graph: lim f(x). x-1- a) 2 b) 0 с) — 2 d) –o -00

A: -2

Q: find the limit of function (a) as x→∞ and (b) as x→-0. (You may wish to visualize your answer with a…

A: Given, f(x)=π-2x2

Q: Use the graph to solve for z.* := lim f(r) 3 3 f(x) 2. 2.

A:

Q: lim 4x X f(x) ?

A: Using approximate approach ing toward 1/2

Q: Find the limit. 2 lim 1 x-0 00 O 2 O 000

A: Let,

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x² – 6x +7 -x² + 6x – 11 if…

A:

Q: Determine the limit by sketching an appropriate graph. - 5x - 4 for x<2 lim f(x), where f(x) = . 4x…

A: The limit in the question have asked for x-&gt;2+ which means greater than 2.

Q: find the limit of each function (a) as x→ ∞ and(b) as x→ -∞. (You may wish to visualize your answer…

A: a)

Q: Find the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

Q: For x20, the horizontal line y=2 is an asymptote for the graph of the function f. Which of the…

A: Given x≥2,the horizontal line y=2 is an asymptote

Q: Without a table of values and without graphing f(x), give the values of the following limits and…

A: Part (a) - Let the given limit be y - y = limx→-1 3x-5Putting limit x=-1, because we do not have any…

Q: Find the limit, if it exists

A:

Q: Find the limits of the functions lim メ>- (6lim x 2. xペー 2x+4

A:

Q: Determine the limit by sketching an appropriate graph. for x <4 S-3x - 4 8) lim f(x), where f(x) = {…

A:

Q: Use the graph of f to find the indicated limit and function value: y 4- 4-3-2- 234 a. lim f(x) b.…

A: By given graph

Q: I. Determine the limit of the function, f(x) = 2x – 5, given the graph. 1. lim(2x – 5) = , X2 2.…

A: Given graph of the linear function f(x) = 2x - 5 is as follows:

Q: Calculate the value of the following limits algebraically, (if they 2x-1 a) lim x+1 X² 2x²-9x-5 b)…

A: Topic:- application of calculus

Q: 2. Use the graph to find the following limits: -10 10 =) lim f(x) = b) lim f(x)= c) lim f(x) = =)…

A:

Q: Find the limit, if it exists. 5x2 lim +14x – 3 x→-3 2x +6 1 2 O 5 2 O -8

A:

Q: The graph of a function f (x) is shown at right. If g(x) = v5 + 4x , find lim [f(x) + 3 g(x)]. А. 13…

A: Consider the given function: gx=5+4x Consider the given limit expression: limx→1+fx+3gx We can also…

Q: Consider the piecewise function defined by Sx² + 5 f(x) 3x + 1 if x 2 2. if x < 2 Find each of the…

A:

Q: lim 2 x²-9 2 x² - 4x +3 where c = 0 and 1

A:

Q: Determine the limit by sketching an appropriate graph. - 5x + 5 for x<4 lim f(x), where f(x) = x-4+…

A: We determine the limit of a function at a given point using the graph.

Q: Show, via illustration, that the limits lim x and lim a are equal but xa the functions in each limit…

A: Consider the given limx→ax   and  limx→aa    Now, limx→ax Here, f1x=x limx→ax=a

Q: b) lim (1 +2x)³A * x=0

A:

Q: 6) Use the graph of f to find the indicated limit and function value: y 3- 1-3-2-1 -2-

A:

Q: Find the limits as x - 0o and as x - -00. y = f(x) = (3 – x)(1 + x)?(1 – x)4 lim f(x) = lim f(x) = X…

A:

Q: In a particular city, taxicabs charge passengers $3.10 for entering a cab and then $0.40 for each…

A: Sol

Q: Determine the limit by sketching an appropriate graph. 6) lim f(x), where f(x) = -2x - 5 x-4* for x…

A:

Q: Find the limit for the following functions: - 1- lim 4 x-2 x² -

A: Just simplify the given expression and cancel out the common terms from numerator and denominator…

Q: Find the limit, if it exists. x2 + 16x + 63 10) lim x--7 10) x+7 A) 224 B) 16 C) 2 D) Does not exist

A: Given, Find limit limx→ -7x2+16x+63x+7

Q: Calculate the value of the following limits algebraically, (if they exist): 2x²-3x-9 a) lim x-3 x-3…

A:

Q: Find the value of each of the following limits. If the limit does not exist, indicate if it is 00,…

A: The limit of a function f(x) at a point is the value to which the function would approach to as the…

Q: Find the limit. lim (3x5 - 2x4 - 4x³ + x² - 5) x+-2 O -33 O -161 O 47 O -97

A: See the details solution in below

Q: Evaluate the following limits and give the equation for any horizontal asymptote (if there are none,…

A:

Q: a. For the function graphed here, show that lim,-1 8(x) # 2. b. Does lim,-1 g(x) appear to exist? If…

A: a.The  limit given is limx→-1gx≠2.  It is correct that the limit does not equal to 2 for x=-1.…

Q: Use the graph to find the limit (if it exists). 10 lim f(x), where f(x) = (8 – x, x + -4 5 x = -4…

A: Given :lim x→-4f(x) 8-x,x≠-45x=-4

Q: Q3: Find the limit for the following functions: - Vx-2 1- lim x-4 x-4 (2x-3)(Vx-1) 2- lim x→1…

A: Apply d'hopital rule

Q: Find lim f(x) for the given piecewise function. 2x +3 f(x) = { 5 -*+18 if x > 6 if x < 6 %3D if x =…

A:

Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

Q: Find the limit. 7) lim x-5' x - 25 A)1 B) 0 C) -

A: We can solve this problem using the concept of limit.

Q: V1 + 4x6 2 - x lim X -00 3.

A:

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.