Draw the graph of the given function. 1. f: R → Z, defined by f(x) = [2x – 3] 2. f : Z → Z, defined by f(x) = x² + 1 Show your work on paper, and then upload it here.

Q: Use the table below to compute h'(-1) for h(x) = f(x) g(). (E) (), (1)6 () 1/2 -2 2 1 -3 1 2 1 4. -1…

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Q: For all values of x for which the function is differentiable if H(x) is defined as: H(x) =…

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Q: 1. Consider the following function: f(x) = Vx(x + 4) a) Determine the intervals of increase and…

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Q: 6. Suppose t > 0. Consider the functions f(x) = e* and g(x) = xt. Show that ext for all x > 0, if…

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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.     => x3 + 5 = y3 + 5    => x3 = y3     => (x -…

Q: 10.Sketch graph of the following multivariable functions a. z = +1 b. + c. z² = x² ++1 y2

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Q: 2. Find the absolute maximum and absolute minimum of the following function on the given interval.…

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Q: The function h(x)=1/x−4, can be expressed in the form f(g(x)), where g(x)=(x−4), and f(x) is defined…

A: Given: ------------------------------------------------------------------------------------------…

Q: Consider the graph of a function. 5 4+ 3 2 + + 3 4 5 6. Find the point c at which the function has a…

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Q: consider the following functions: Which is equal to ((fg)(x)? * f(x) = 3x + 1 g(x) = 1 – 3x h(x) =…

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Q: 21 (d) Suppose that f(1) = 0. In the xy-plane provided, draw a sketch that show of the graph of the…

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Q: The function h(x)= 1 over x-8, can be expressed in the form f(g(x)), where g(x)= (x-8) , and f(x))…

A: use composition of function to find the function f(x).

Q: make a sketch of the given function on [0,∞) and express it in terms of the unit step function.

A: The given piecewise function is, Defined on,

Q: The following graph is the function y= f(x) defined on [-2,6]. 1 4. 6. -2 -1 -1 Let F(z) = | f(t)…

A: Finding different values of F(x) from the data given

Q: 2. Refer to the function p(x) = x². (a) Suppose r(x) = p(x+3) – 2. Describe how p(x) is transformed…

A: As per our company guidelines, we can solve first question for you. If you want other questions to…

Q: 1) Draw a rough sketch of a continuous function, ƒ(x), with all the following properties: A) ƒ(0) =…

A: A) f(0)=4 , f(5)=-1, means that points (0, 4) and (5,-1) lie on the function B) f'(0) =0, f'(5)=0…

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: draw the graph of a function on [O, 5] with the given properties. f is right- but not…

A: Given: Draw the graph of a function on [O, 5] with the given properties.f is right- but not…

Q: Consider the graph of the function f(x) = 3- 2x - x2: 5 -1 -1 -3 -5 -4 -3 -2 -5 -7 -9 -11 The area…

A: Given the graph of fx=3-2x-x2

Q: 1. Find the value of a that makes the following function differen- tiable for all x-values. Jax, if…

A: gx=ax,if x&lt;0x2-3x,if x≥0

Q: 1) Sketch the graph of a function with the following conditions: V D = {x € R\x # 0,4, 5} f(x) 0…

A: We have condition at function.D = {x∈R|x≠0,4,5}f(x)&lt;0, When x∈(-2,0)∪(2,4)f(x)&gt;0, When…

Q: Please explain how to solve. Thank you

A: Let's find.

Q: The graph of a continuous function f : [0,9] → R is given below. The function

A: given F(x)=∫0xf(x)dx

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: Given the piecewise defined function g(x) = {_-lx! + k, if x < 3 x², if x ≥ 3 what value of k makes…

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

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Q: Suppose thatƒ (1) = 2, that f ' (x) is the function shown in the graph below, and that k (x) = f…

A: Equation of tangent line : y - y0  = m ( x - x0 )  m is the slope of function . And ( x0 , y0 ) is…

Q: Consider the following. if x s 2 S2 - x |x² – 4x + 4 f(x) = if x > 2 Is f differentiable at 2? O Yes…

A: The given function is f(x)=2-xif x≤2x2-4x+4if x&gt;2 to find the given function f(x) is…

Q: 1. Use the graph of y = f(x) given below to sketch the graphs in parts (a) to (d). 10 - 81 21 -10 -8…

A: AS per the guidelines, I am supposed to do the 1st question only. Kindly repost the other…

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

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Q: Given the graph of y = f(x) below, at which of the marked r-values can the following statements be…

A: Since you have asked multi part question, we will solve the first 3 part of question for you as per…

Q: Consider the piecewise-defined function S-x+ 2, if x < 2. f(x) = 1x-2,if x 23 %3D 7. Evaluate f(x)…

A: Given,            fx=-x+2,if x&lt;2x-2,if x≥3

Q: The function h(z) = (x + 2)° can be expressed in the form f(g(=)) where f(x) =1', and g(x) is…

A: Given data: h(x) = ( x + 2 )3 can be expressed in the form f(g(x))

Q: Consider the function f(x) = kx", where n is an even, positive integer. %3D (a) (3 points) If k < 0,…

A: Consider the equation

Q: 2. Determine the given function is continuous or discontinuous at t =-2 (t² + 2 6. t -2

A: Given information : t=-2

Q: Sketch a graph of the function f(x) cos(z). -7/4 T/4 7/2 37/4 57/4 37/2 Z7/4 -1 -2-

A: We have to Sketch the given function

Q: Let g(x) = x/x^2+75   ..g'(x) =  Ax2 + B (x2 + 75)C , where A = B =  C = g''(x) =…

A: The given function is

Q: 10. Consider the function if a E Q -a? if x ¢ Q. f(x) = Prove that f'(0) = 0. %3D

A: Solution:Given  f(x)=x2if x∈Q-x2if x∉QTo prove f'(0)=0Formuladdx(xn)=nxn-1

Q: Compare the function rule f (x) = 3x + 2 and the graph of g (x). 10 -10 10 Which statements are…

A: First let's draw graph of f(x) on same axis and then compare it with g(x) graph.

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

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Q: 18. Consider the function f (x) 5e2r. On what interval(s) is f (x) %3D increasing? On what…

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Q: 4. Evaluate the following based on the given graph of f(x). 3 4 3 -2 -1 2 3 -1 -2 -3 a.) lim,…

A: Since you have asked multiple questions, we will solve the first three subparts for you. If you want…

Q: Draw the graph of the function f(n)= 1– n from Z to Z.

A: Graph of the function

Q: Suppose F(x) is a function with F '(x) = g(x). It is known that E(1) = 8 and that 9*)dt = –6 has a…

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

Q: Define g(4) for the given function so that it is continuous at x= 4. 5x - 80 g(x) = 5х - 20

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Q: 2. Determine the given function is continuous or discontinuous at t=-2 (t² + 2 t -2 If f(t) = {6 t…

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Q: 3. Given the following table about function f(x), approximate the value of f(1.25) by Lagrange…

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Q: The graph of f consists of three line segments as shown. If g (x) = So f (t) dt, find g (4) and g'…

A: Given g(x) = integral (0-x) (f(t)) dt g(4) = integral (0-4) (f(t)) dt          = F(4) - F(0)…

Q: The following is a graph of a function g(x), defined on the interval [0,4] .

A: The graph of g(x) is as shown below :

Q: 4. Sketch the graph of the function. a. f(x)=-(x-1)²+2(x-1)+6 x+1 ifxe(-0,1] if xe (1,3) if x e[3,5]…

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