Consider the piecewise-defined function if r<0 |z+ 21. f(z) = { -+3r – 2 if z20. I-2 1. Sketch the graph of f. 2. Identify the domain and range of f.

Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: If function is continuous  Then, it will be continuous on x=-1 and x=12 Therefore, limx→-1-1fx=f-1…

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = k/x y = 2x +…

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Q: 10 The function f(x) = - has a removable discontinuity at x = 2. To remove the - 2 discontinuity,…

A: Given: f(x)=10x+x2−4x−2

Q: -Which of the functions below has a range of y<-2?

A: Idea: Construct the line y = -2. If the graph remains below the line y = -2 then the function have…

Q: Consider the point (x, y) lying on the graph of y = 2x - 3. Let L be the distance between the points…

A: Given,

Q: Use the given graph of the function to find the r-values for which f is not differentiable.

A: The function fx is not differentiable at any point x=c, in the following cases, 1) fx is not…

Q: 2. Determine whether the function y= -x5 + x3 – 1 is even, odd, or neither. Justify your ans wer.

A:

Q: Consider the following function f(x) = - 3x? + 5x – 2 where r E (-, +0) Find the following: (a) The…

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Q: Let (x0, yo) = (2,6) and (x1, Y1) = (2.5, 6.2). Use the following graph of the function f to find…

A: Given that, The points of passing of function f are following, (x0, y0) = (2, 6)   and     (x1, y1)…

Q: Find the graph of the function f(x) = [x] + [x/2] from R to R.

A: Given function is fx=x+x2. Definition: Floor function is the greatest integer that is less than or…

Q: is the interval of decrease for the following function? f(z) =-|z – 2| +3

A: Topic = Functions

Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x&gt;6 Since the function is a polynomial function for all x&lt;6…

Q: Find k such that the line is tangent to the graph of the function.

A: The function is given as fx=kx......(1) The line is given as y=x+4......(2)

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

A:

Q: Find the values of k that make the function continuous. k2 – 22x, x > 11 - f (æ) = kæ, x < 11

A: to find the values of k the function is to be continuous for x=11 value of k is 22 or -11.

Q: For use after sson 6.3 Use the graph or the table to write a linear function that relates y to x. 2.…

A: So for finding equation of line we are going to use two points formula to calculate equation so I'm…

Q: 2. Let f(x) = e" + for x E [0,3]. Determine the length of the graph of f. 4e

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Q: Please explain how to solve. Thank you

A: Let's find.

Q: Here is a function of the form f (x) = ab". Which point on the graph immediately tells you the value…

A:

Q: Find the point on the graph of the function that is closest to the given point. f(x) = /x, (3, 0)…

A: Given, y = f(x) = x Let's assume the closest point to (3,0) will be (x, y) then (x,y) = (x, x)…

Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given,    S= 10T² + 4   Yes, here S is function of T.  Thus, S = f(T) = 10T² + 4

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = k/x y = 2x +…

A: We have to find the value of k such that the line y=2x+2 is tangent to the graph of the function…

Q: Determine whether the following function is continuous at the given point z- 3z+ 14z -5 f(2) 3z -1…

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1…

Q: Use the limit formula for the derivative of a function at a point to find f'(-3) for f(r) = 2r2 – r.

A: use limit definition to find the value of derivative.

Q: 22. For the following functions, identify any points of discontinuity, and if any exist, classify…

A: We will identify points of discontinuity of f(x) and g(x) and classify each points of discontinuity…

Q: for a given function f (t)= f(-t).  what type of symmetry does f(t) have

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Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1…

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Q: Sketch the level curves when z = 5 and z = 8 for the function z = z + y? + 4. Hence, sketch the 3D…

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Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: The function g(x) is obtained by shifting the graph of y=x2. (a) If g(3)=36, give a possible formula…

A: If the graph shifts horizontally, then the point (3 , 36) on the graph of g must correspond to a…

Q: 3. FOR THE K(x) = ()* FUNCTION STATE THE DOMAIN, RANGE, TND BEHAVIOR X-INTERCEPT(S), AND Y-INTERCEPT…

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Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 3-…

A: given:piecewise linear functionfx=3-x ; if x≤214-2x; if x&gt;2To find…

Q: 3. The peicewise function, f(x), pictured to the right consists of segements of linear functions.…

A: We have to determine which statement are true.

Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: 22. For the following functions, identify any points of discontinuity, and if any exist, classify…

A: Solution is given below..

Q: Find the value of the constant ( a, b, or c) that makes the function continuous.

A: Given: fx=1x,x&lt;-1, x&gt;12ax+b,-1≤x≤12 if given function is continuous then limx→-1-fx=limx→-1+fx…

Q: Are there any values of r for which the function A is discontinuous? Why?

A: We have to find out

Q: 5. f(x) = S2e* + 1 if x # 0 0 if x = 0 at x = 0

A:

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: h) f(x) = |Inx|

A: Sketch the following function showing in the given expression.  f(x) = 1/|lnx|

Q: (b). Determine whether the function is continuous or discontinuous at the given x-value. x²-3 x=-5…

A: Given function is

Q: Consider an F-curve with d f = (2, 14). Identify the degrees of freedom for the denominator.

A: The degree of freedom for F ratio is (k-1, N-k), where k is the number of treatment conditions and N…

Q: Use the given graph of the function to find the x-values for which f is differentiable. not 1,0

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Q: Determine whether the following function is continuous at the given point z = 3x2 + 17z - 6 f(x) =…

A: A function f(x) is said continous at x = a  only when

Q: On what intervals is the function f(x) = x-4r both decreasing and concave up? Write your answer in…

A: fx=x4-4x3 Differentiating with respect to x, we get f/x=4x3-43x2    ∵dxndx=n·xn-1=4x3-12x2 Again…

Q: 2. Sketch the graph of the function (a) f(x, y) = Vr² + y? (b) f(x, y) = Vx² + y? – 1 %3D

A: Given a. fx,y=x2+y2b.fx,y=x2+y2-1

Q: "hich of the statements a through k about the function y = f(x) graphed here are true, and which are…

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