Write the following unit step functions (for t > 0) in the form of piecewise function and draw the graph. H, (t) = 1 – 2u(t – 2) 1 if t <2 -1 if t> 2 answer: H, (t) = { H2(t) = u(t – 1) + u(t – 2) 0, t<1 answer: H2(t) = {1 , 1< t< 2 2 , t> 2

Q: Graph the Heaviside function 2(H (t+4) – H (t-1)) + (H(t-3) –H(t-6))

A: The Heaviside function is very significant in studying real valued function. The range of Heaviside…

Q: Find the (i) domain and (ii) graph the functions a. f(r) = 1- 2x – r? b. f(x) = /=x

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Q: Use the graph of the function f shown to the right to find f(0), f(1), and f(2). CELE f(0) =

A: This question can be solved using the concept of locating points on the graph.

Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x - 2)

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Q: Find the domain of each function

A: Given: h(t) = 4-3t To find: The domain of the given function.

Q: Sketch the graph of the function f (x, y) = 10 – 4x – 5y.

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Q: Sketch the graph of the function. f(x, y) - 4 - x - 4y2

A: Sketch the given function

Q: 5- For the function f(x)=x³/3(x²-3) – 3/2, determine: a- The domain. b- The x and y intercepts. c-…

A: Given problem:-

Q: Use the given graph of y = f(x) to graph the function g : g(x) = 1/2f(2x)

A: Using the given graph of y=f(x) : We are to graph the function g: gx=12f(2x)

Q: -Y) = 19 – 4x - 5y

A: In this question, the concept of the graph of the function is applied. Graph A graph is a graphical…

Q: Use the given graph of y = f(x) to graph the function g : g(x) = - 1/2f(x - 2) + 2

A: Given: Graph of y=f(x) To determine: Graph of g(x)=-12f(x-2)+2

Q: What is the graph represented by the function f(t) = t + (t - 2)u(t - 1)

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Q: Зх — 4 f(x) = Зх — 6 f(x) = x2 – 9

A: (i) As f(x) is a fraction, it is undefined when the denominator becomes 0.  Equating the denominator…

Q: Graph the function. 6) f(x) = fx-1, for x>0 1-x², for x ≤0 9

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Q: Graph the piecewise linear function. 2, x ≥ 1 4) f(x) = x + 5, x < 1

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Q: Write a function of a square root BLUE graph in the form: f(x) = a/x±b ± C (4, 2). |(-2, –3) (2, –7)…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

Q: Consider the following function. p(x)=x2+5x+4 Step 3 of 3:  Find two points on the graph of the…

A: Consider the following function. p(x)=x2+5x+4 Find two points on the graph of the parabola…

Q: Sketch the graph of the function h(t) = t2 - 2.

A: Given data  h(t) =t2-2

Q: Identify the vertex of the following function. f (x) = -a? + 4æ – 4

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Q: Find the z-coordinate(s) of the inflexion point(s) of the graph of f(z) = 21-3z² + z – 1. %3D

A: Explanation: Given that: fx=2x4-3x2+x-1 Concept: dxndx=nxn-1 Step 1. Take the first derivative  Step…

Q: Set Sx+3 if x < 2 f(x) = -2r + 1 if 2 <x< 3 a. Graph f(x). b. Compute f(-3) c. Compute f(2) d.…

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Q: Let f(x) = 3x – 10 and g(x) be the function shown in the graph at right. Find the following: 2. a)…

A: f±ga = fa±ga f∘gx = fgx g∘fx = gfx .